prompt stringlengths 178 822 | chosen stringlengths 72 2.55k | rejected stringlengths 11 4.42k | answer stringlengths 1 7 |
|---|---|---|---|
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did... | ## Step 1: Calculate the number of seashells Mimi picked up.
Mimi picked up 2 dozen seashells, which means she picked up 2 * 12 = 24 seashells.
## Step 2: Calculate the number of seashells Kyle found.
Kyle found twice as many shells as Mimi, so Kyle found 2 * 24 = 48 seashells.
## Step 3: Calculate the number of seas... | ## Step 1: Calculate the number of seashells Mimi picked up.
Mimi picked up 2 dozen seashells. Since 1 dozen is 12, 2 dozen is 2 * 12 = 24 seashells.
## Step 2: Calculate the number of seashells Kyle found.
Kyle found twice as many shells as Mimi, so he found 2 * 24 = 48 seashells.
## Step 3: Calculate the number of ... | 16 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the re... | ## Step 1: Calculate how much Emma spends each day during the week.
Emma spends $8 each day during the week.
## Step 2: Calculate how much money Emma has left after spending $8 each day for a week.
Emma has $100 - $8 = $92 left each day.
Emma has $92 * 7 = $644 left after spending $8 each day for a week.
## Step 3: C... | ## Step 1: Calculate the total amount spent during the week
Emma spends $8 per day for 7 days, so the total amount spent is 8 * 7 = $56.
## Step 2: Calculate the total amount withdrawn from the account
The total amount withdrawn is the amount in the account minus the amount spent, which is 100 - 56 = $44.
## Step 3: ... | 4 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Ezekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day ... | Answer:
## Step 1: Determine the total distance covered in the first two days
Ezekiel covered 10 kilometers on the first day and half the full hike distance on the second day, so he covered 50 / 2 = 25 kilometers on the second day.
## Step 2: Calculate the distance covered on the first two days
The total distance cov... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total distance covered on the first day.
Ezekiel hiked 10 kilometers on the first day.
## Step 2: Calculate the distance covered on the second day.
The second day, Ezekiel covered half the full hike distance. Since the full hike was 50 kilometers, he covered 50 / 2 = 25 ki... | 15 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he col... | ## Step 1: Calculate the number of tins James collected on the second day.
The number of tins James collected on the second day is 50 * 3 = 150 tins.
## Step 2: Calculate the number of tins James collected on the third day.
The number of tins James collected on the third day is 150 - 50 = 100 tins.
## Step 3: Calcula... | ## Step 1: Determine how many tins James collected on the second day.
James collected 50 tins on the first day and 3 times that number on the second day, so 50 * 3 = 150 tins.
## Step 2: Calculate the total number of tins James collected on the first three days.
On the first day, he collected 50 tins. On the second da... | 50 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Don throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score fr... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the points from the bullseye
The bullseye is worth 50 points.
## Step 2: Calculate the points from the missed target
The missed target is worth 0 points.
## Step 3: Calculate the points from the third throw
The third throw is worth half the points of the bullseye, so it is wo... | { \boxed{1375}}.
Explanation:
The first dart was worth 50 points, so it was a bullseye. The second was completely missing, so it was worth 0 points. The third dart was worth 50/2 = 25 points, so it was worth half of the bullseye. The third was therefore worth 50 + 25 = 75 points, for a total of 50 + 75 + 0 = 125 point... | 75 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
TreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide... | ## Step 1: Calculate the number of pebble splashes
TreQuan tosses 6 pebbles, each with a splash width of 1/4 meter, so the total width of the pebble splashes is 6 * (1/4) = 1.5 meters.
## Step 2: Calculate the number of rock splashes
TreQuan tosses 3 rocks, each with a splash width of 1/2 meter, so the total width of ... | A) 4
B) 5
C) 6
D) 7
E) 10
Step-by-step reasoning process:
Let x be the width of the pebble splash and y the width of the rock splash. Then, we know that
x = 1/4
y = 1/2
b = 2
x + y + b = 1/2 + 1/2 + 2 = 4/2 = 2
\boxed{2} Answer: C | 7 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each p... | ## Step 1: Calculate the total number of eggs available.
There are three dozen eggs, which equals 3 * 12 = 36 eggs.
## Step 2: Calculate the number of omelets each person gets.
Each omelet requires 4 eggs, so the total number of omelets equals 36 / 4 = 9.
## Step 3: Calculate the number of omelets each person gets af... | ## Step 1: Calculate the total number of eggs
There are three dozen eggs, and since 1 dozen equals 12 eggs, the total number of eggs is 3 * 12 = 36 eggs.
## Step 2: Calculate the number of omelets each person gets
Pauly and his three family members will eat the 36 eggs, so the number of omelets each person gets is 36 ... | 3 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Thomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the... | ## Step 1: Calculate the height of the first stack of blocks.
The first stack was 7 blocks tall.
## Step 2: Calculate the height of the second stack of blocks.
The second stack was 3 blocks taller than the first, so it was 7 + 3 = 10 blocks tall.
## Step 3: Calculate the height of the third stack of blocks.
The third... | ## Step 1: Find the height of the first stack.
The first stack was 7 blocks tall.
## Step 2: Find the height of the second stack.
The second stack was 3 blocks taller than the first, so it was 7 + 3 = 10 blocks tall.
## Step 3: Find the height of the third stack.
The third stack was 6 blocks shorter than the second, ... | 55 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Trace has five shopping bags that weigh the same amount as Gordon’s two shopping bags. One of Gordon’s shopping bags weighs three pounds and the other weighs seven. Trace’s shopping bags all wei... | ## Step 1: Calculate the total weight of Gordon's two shopping bags.
Gordon's two shopping bags weigh 3 + 7 = 10 pounds.
## Step 2: Calculate the total weight of Trace's five shopping bags.
Since the total weight of Trace's five shopping bags is the same as Gordon's two shopping bags, we can represent this as 5x = 10,... | \boxed{YOUR_ANSWER}.
## Step 1: Let's denote the weight of one of Trace's shopping bags as x pounds.
We know that five of these bags weigh the same as two of Gordon's bags, which means 5x = 2*3 + 2*7.
## Step 2: Calculate the total weight of two of Gordon's bags.
2*3 + 2*7 = 6 + 14 = 20 pounds.
## Step 3: Now we can... | 2 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A library has a number of books. 35% of them are intended for children and 104 of them are for adults. How many books are in the library?
| ## Step 1: Calculate the percentage of books for adults
35% of the books are intended for children, which means 100% - 35% = 65% of the books are intended for adults.
## Step 2: Calculate the number of books for adults
Since 65% of the books are for adults and there are 104 books for adults, we can set up the followin... | ## Step 1: First, we need to calculate the total number of books intended for adults. Since 104 books are for adults, this will be our starting point.
## Step 2: Next, we calculate the total number of books intended for children, which is 35% of the total number of books. This can be calculated by multiplying the num... | 160 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Nicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make?
| ## Step 1: Calculate the total amount of money Nicky gets from trading two cards worth $8 each.
2 * $8 = $16
## Step 2: Calculate the profit Nicky makes by subtracting the total amount he gets from the value of the card he is receiving.
$21 - $16 = $5
The final answer is: $\boxed{5}$ | ## Step 1: Calculate the total value of the cards Nicky gives to Jill.
Nicky gives Jill 2 cards worth $8 each, so the total value of the cards he gives to Jill is 2 * 8 = $16.
## Step 2: Calculate the profit Nicky makes after trading the cards.
Nicky gives Jill 2 cards worth $8 each, but gets 1 card worth $21, so the ... | 5 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Patricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard, 145 ... | \boxed{YOUR_ANSWER}
## Step 1: First, let's add up the total number of seconds of all the players' video.
130 + 145 + 85 + 60 + 180 = 600 seconds.
## Step 2: Now, let's divide the total number of seconds by the number of players to get the average number of seconds per player.
600 seconds / 5 players = 120 seconds pe... | \boxed{YOUR_ANSWER}.
## Step 1: First, let's add up the total time for all the players' videos to find the total time.
Total time = 130 + 145 + 85 + 60 + 180 = 600 seconds.
## Step 2: Next, we need to convert the total time from seconds to minutes.
There are 60 seconds in 1 minute, so we need to divide the total time... | 2 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Julie, Letitia and Anton decided to have dinner together at a nearby restaurant. Julie orders $10 worth of food, Letitia orders $20 worth of food, and Anton orders $30 worth of food. How much ... | ;
## Step 1: First, we need to calculate the total cost of the meal.
Total cost of meal = Julie's food + Letitia's food + Anton's food = 10 + 20 + 30 = 60.
## Step 2: Calculate the total amount that the tips should be split into, which is 20% of the total cost of the meal.
20% of 60 = 0.20 * 60 = 12.
## Step 3: Now,... | A) $5
B) $10
C) $10
D) $15
Explanation:
Let x be the amount each of them pays in tip.
If they want to split the 20% tip evenly, then the total amount of the tip is 20% of 90, which is (20/100)*90 = 18. Therefore, the sum of each tip is x + 18 = 90/3 = 30.
So, each of them pays 30/3 = 10.
\boxed{C} | 4 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks. How ... | ## Step 1: Calculate the cost of all the socks
Niko bought 9 pairs of socks at $2 each, so the total cost is 9 * $2 = $<<9*2=18>>18.
## Step 2: Calculate the cost of the four pairs of socks with 25% profit
Niko wants to gain 25% profit on the four pairs of socks, so the profit per pair is 25% of $2, which is 0.25 * $2 ... | ## Step 1: Calculate the total cost of the socks
Niko bought 9 pairs of socks for $2 each, so the total cost is 9 * 2 = $18.
## Step 2: Calculate the cost of the socks to be resold with a 25% profit
He wants to gain a 25% profit, which means he will resell the socks for 2 + 0.25 = $2.25 each.
## Step 3: Calculate the... | 3 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
The number of short students in a class is 2/5 of the total number of students. If there are 90 tall students, and the class has 400 students, calculate the total number of students with average... | ## Step 1: First, we need to find the number of short students in the class. We know that the number of short students is 2/5 of the total number of students, so we multiply the total number of students by 2/5.
short_students = 2/5 * 400 = 160
## Step 2: Next, we need to find the total number of short and tall student... | ## Step 1: Calculate the number of short students in the class.
The number of short students is 2/5 of the total number of students, so short_students = total_students * (2/5) = 400 * (2/5) = 160.
## Step 2: Calculate the number of students with average height.
The number of students with average height is the total n... | 150 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?
| ## Step 1: Calculate the total value James invested in the coins.
James invested 20 coins * $15 = $300 in the initial buy.
## Step 2: Determine the increase in the value of the coins.
The value of the coins increases by 2/3, meaning the new value of each coin is $15 + $15 * (2/3) = $15 + $10 = $25.
## Step 3: Calcula... | ## Step 1: Calculate the total cost of the coins
The total cost of the coins is 20 coins * $15/coin = $300.
## Step 2: Calculate the new value of the coins after increase
The value of the coins increases by 2/3, so the new value of the coins is 300 * (1 + 2/3) = 300 * (5/3) = $500.
## Step 3: Calculate the number of ... | 12 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
In the park, the first rose bush has 12 red flowers. The second rose bush has 18 pink flowers. The third rose bush has 20 yellow flowers. The fourth rose bush has 8 orange flowers. For her v... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the number of red roses in the vase.
First, we find 50% of the 12 red roses, which is 12 * 0.5 = 6.
## Step 2: Calculate the number of pink roses in the vase.
Then, we find 50% of the 18 pink roses, which is 18 * 0.5 = 9.
## Step 3: Calculate the number of yellow roses in the... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the number of red roses Lorelei picks
50% of 12 red roses is 0.5 * 12 = 6 red roses.
## Step 2: Calculate the number of pink roses Lorelei picks
50% of 18 pink roses is 0.5 * 18 = 9 pink roses.
## Step 3: Calculate the number of yellow roses Lorelei picks
25% of 20 yellow ros... | 22 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Tonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respectively. At the close of business she ended up making $50. As she went back through her... | ## Step 1: Determine the profit from small and medium cups
The total amount of money made from selling small and medium cups is $11 + $24 = $35.
## Step 2: Subtract the profit from small and medium cups from the total to find the profit from large cups
The profit from selling large cups is $50 - $35 = $15.
## Step 3:... | ## Step 1: Determine the total amount made from small and medium lemonades.
The total amount made from small and medium lemonades is $11 + $24 = $35.
## Step 2: Determine the total amount made from large lemonades.
The total amount made is $50, so the amount made from large lemonades is $50 - $35 = $15.
## Step 3: De... | 5 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assig... | ## Step 1: Calculate the time taken to finish the first two parts
Leo finished the first part of his assignment in 25 minutes and it took him twice as long to finish the second part, so it took him 25 * 2 = 50 minutes to finish the second part.
## Step 2: Calculate the total time taken to finish the first two parts
Th... | ## Step 1: Calculate the total time spent on the first two parts of the assignment.
To find the time spent on the second part, we need to multiply the time spent on the first part by 2, since he took twice as long to finish the second part.
Time spent on the second part = 25 minutes * 2 = 50 minutes
## Step 2: Find the... | 45 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Connor is taking his date to the movies. The tickets cost $10.00 each. They decided to get the large popcorn & 2 drink combo meal for $11.00 and each grab a box of candy for $2.50 each. How m... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the cost of the tickets.
The cost of the tickets is 2 tickets * $10.00/ticket = $20.00.
## Step 2: Calculate the cost of the combo meal.
The cost of the combo meal is $11.00.
## Step 3: Calculate the cost of the candy.
The cost of the candy is 2 * $2.50 = $5.00.
## Step 4:... | ## Step 1: Calculate the cost of the large popcorn & 2 drink combos
The cost of the large popcorn & 2 drink combos is $11.00.
## Step 2: Calculate the cost of the candy boxes
Two boxes of candy at $2.50 each will cost 2 * $2.50 = $5.00.
## Step 3: Calculate the total cost of the date
The total cost is the sum of the ... | 36 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
| ## Step 1: Calculate the number of red beans.
One-fourth of 572 beans are red. So, the number of red beans is 572 * 1/4 = 143.
## Step 2: Calculate the number of beans that are not red.
572 - 143 = 429 beans are not red.
## Step 3: Calculate the number of white beans.
One-third of the remaining 429 beans are white. S... | ## Step 1: First, calculate the total number of red beans by finding one-fourth of the total number of beans.
One-fourth of 572 is 572 / 4 = 143.
## Step 2: Then, find the number of beans that are white by calculating one-third of the remaining beans after removing the red beans.
The remaining beans after removing the... | 143 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Jim collects model cars, and he has 301 models total. Jim has 4 times as many Buicks as Fords, and 3 more than twice the number of Fords than Chevys. How many Buicks does Jim have?
| \boxed{YOUR_ANSWER}
## Step 1: Define the variables for each type of car.
Let's define the variables: B = number of Buicks, F = number of Fords, C = number of Chevys.
## Step 2: Translate the given information into equations.
From the problem, we have the following equations:
B = 4F
F = 2C + 3
B + F + C = 301
## Ste... | \boxed{YOUR_ANSWER}
## Step 1: Let's denote the number of Fords as F and the number of Chevys as C. We know that the total number of cars is 301, so F + C = 301.
## Step 2: We also know that Jim has 4 times as many Buicks as Fords, so the number of Buicks is 4F.
## Step 3: Jim has 3 more than twice the number of For... | 220 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each month,... | ## Step 1: Determine how much more money Peter needs to save
To find out how much more money Peter needs, subtract the amount he already has from the goal amount.
$5,000 (goal) - $2,900 (already saved) = $2,100
## Step 2: Calculate how many months it will take Peter to save the needed amount
Divide the amount needed t... | ## Step 1: Calculate the total amount of money Peter needs to save.
Peter needs $5,000 to cover all the spending for the travel and has $2,900 in savings.
## Step 2: Calculate the total amount of money Peter still needs to save.
Total amount needed = $5,000 (travel cost) + $2,900 (savings) = $7,900.
## Step 3: Calcul... | 3 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Last year, Peter organized a Fun Run for his community project and 200 people signed up. Forty people did not show up to run. This year, there will be twice as many runners as last year. How man... | ## Step 1: Calculate the number of runners who showed up last year.
Number of runners last year = Total number of sign-ups - Number of people who did not show up
= 200 - 40
= 160
## Step 2: Calculate the number of runners this year.
Number of runners this year = 2 * Number of runners last year
= 2 * 160
= 320
The fin... | ## Step 1: Calculate the number of people who did not show up to last year's Fun Run.
There were 200 people who signed up and 40 people did not show up, so 200 - 40 = 160 people did not show up.
## Step 2: Determine the number of people who will run this year.
This year, there will be twice as many runners as last yea... | 320 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Dulce's father has eight orange trees on his farm. If each tree has 200 fruits and Dulce picks 2/5 of the oranges from each tree, calculate the total number of fruits remaining in all the trees.... | ## Step 1: Calculate the number of fruits Dulce picks from each tree.
Dulce picks 2/5 of 200 fruits from each tree. 2/5 * 200 = 80 fruits.
## Step 2: Calculate the number of fruits remaining from each tree.
200 fruits - 80 fruits = 120 fruits remaining from each tree.
## Step 3: Calculate the total number of fruits r... | ## Step 1: First, we need to find out how many fruits Dulce picked from each tree.
Dulce picked 2/5 of 200 fruits from each tree, so the number of fruits she picked from each tree is 2/5 * 200 = 80.
## Step 2: Then, we need to find the total number of fruits Dulce picked from all trees.
Dulce picked 80 fruits from eac... | 960 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his ca... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the total number of cards Padma traded to Robert.
Padma traded 2 of her cards for 10 of Robert's cards, so she traded a total of 2 + 10 = 12 cards.
## Step 2: Calculate the total number of cards Robert traded to Padma.
Robert traded 8 of his cards for 15 of Padma's cards, so... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the number of cards Padma traded to Robert for his 10 cards.
Padma traded 2 cards to Robert for his 10 cards, which means she traded 2 * 10 = 20 cards to Robert.
## Step 2: Calculate the number of cards Robert traded to Padma for his 15 cards.
Robert traded another 8 cards t... | 35 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
There are 920 deer in a park. 10% of the deer have 8 antlers, and a quarter of that number also have albino fur. How many albino 8-antlered deer are there?
| ## Step 1: Calculate the number of deer with 8 antlers.
10% of 920 deer is 0.1 * 920 = 92 deer.
## Step 2: Calculate the number of deer with albino fur.
A quarter of the number of deer with 8 antlers is (1/4) * 92 = 23 deer.
The final answer is: $\boxed{23}$ | ## Step 1: First, calculate the number of deer that have 8 antlers.
10% of 920 deer is 0.10 * 920 = 92 deer.
## Step 2: Next, calculate the number of deer that also have albino fur.
A quarter of the 92 deer with 8 antlers is 0.25 * 92 = 23 deer.
## Step 3: Finally, find the number of albino 8-antlered deer by multipl... | 23 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Allison went to the craft store with her friend Marie to buy some glue sticks and construction paper. Allison bought 8 more glue sticks than Marie, but Marie bought six times as many packs of co... | ## Step 1: Find the number of construction paper packs Allison bought
Marie bought 30 packs of construction paper and she bought six times as many as Allison. So, Allison bought 30/6 = 5 packs of construction paper.
## Step 2: Find the number of glue sticks Allison bought
Allison bought 8 more glue sticks than Marie, ... | ## Step 1: Calculate the number of glue sticks Allison bought
Allison bought 8 more glue sticks than Marie, and Marie bought 15 glue sticks, so Allison bought 15 + 8 = 23 glue sticks.
## Step 2: Calculate the number of packs of construction paper Allison bought
Marie bought 30 packs of construction paper, and Allison ... | 28 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Monica and Michelle are combining their money to throw a party. Monica brings $15. Michelle brings $12. The cake costs 15 dollars, and soda is $3 a bottle. Each bottle of soda has 12 servings an... | ## Step 1: Calculate the total amount of money Monica and Michelle have
Monica has $15 and Michelle has $12, so together they have $15 + $12 = $27.
## Step 2: Calculate the amount of money left after buying the cake
After buying the cake, they have $27 - $15 = $12 left.
## Step 3: Determine the number of bottles of s... | ## Step 1: Calculate the total amount of money Monica and Michelle have
Monica brings $15 and Michelle brings $12, so together they have $15 + $12 = $27.
## Step 2: Calculate the number of sodas Monica and Michelle can buy with their money
The cake costs $15 and they have $27, so they can buy $27 - $15 = $12 worth of ... | 6 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Peter is buying a set of glasses. They cost $3 for small glasses and $5 for large ones. He has $50. If he buys 8 small ones and leaves with $1 in change, how many large ones did he buy?
| ## Step 1: Calculate the total cost of the small glasses
The cost of 8 small glasses is 8 x $3 = $24.
## Step 2: Calculate the total amount spent by Peter
Peter has $50 and leaves with $1 in change, so the total amount spent by Peter is 50 - 1 = $49.
## Step 3: Calculate the remaining amount spent on large glasses
Th... | ## Step 1: Calculate the total amount Peter spent on small glasses.
8 small glasses at $3 each will cost 8 x $3 = $24.
## Step 2: Calculate the amount Peter spent on large glasses.
He had $50 and left with $1, so he spent 50 - 1 = $49 on large glasses.
## Step 3: Determine the number of large glasses Peter bought.
Th... | 5 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Jane is trying to decide whether to buy a house or a trailer. A house costs $480,000 and a trailer costs $120,000. Each loan will be paid in monthly installments over 20 years. How much more is ... | ## Step 1: Calculate the total number of monthly payments for the house
The total number of months in 20 years is 20 * 12 = 240 months.
The monthly payment on the house is $480,000 / 240 = $2000.
## Step 2: Calculate the total number of monthly payments for the trailer
The total number of months in 20 years is 20 * 12... | ## Step 1: First, we need to calculate the total number of monthly payments for each option.
To do this, we multiply the number of years by 12. For the house, that gives 20 * 12 = 240 monthly payments, and for the trailer, that gives 20 * 12 = 240 monthly payments.
## Step 2: Next, we need to calculate the total amoun... | 1500 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mia is buying Christmas gifts for her family. She has spent $30 on each of her 3 siblings, and the rest of her spending was for her parents. If Mia spent a total of $150 on Christmas gifts and e... | ## Step 1: Calculate the total amount spent on her 3 siblings.
3 siblings x $30/sibling = $90 spent on siblings.
## Step 2: Calculate the total amount spent by Mia.
Total amount spent = $150 - $90 = $60.
## Step 3: Calculate the amount spent on each parent’s gift.
Total amount spent on parents = $60.
Amount spent on ... | ## Step 1: Determine the total amount spent on siblings
Mia spent $30 on each of her 3 siblings, so the total amount spent on siblings is 30 * 3 = $90.
## Step 2: Calculate the remaining amount spent on parents
Mia spent a total of $150 on Christmas gifts, and she spent $90 on her siblings, so the amount spent on pare... | 30 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Oshea bought 200 basil seeds. He wants to plant them in planters. He has 4 large planters that can hold 20 seeds each. He also has small planters that can hold 4 seeds each. How many small plant... | ## Step 1: Calculate the total number of seeds that the large planters can hold.
4 large planters * 20 seeds/planter = 80 seeds
## Step 2: Calculate the number of seeds left after filling the large planters.
200 seeds - 80 seeds = 120 seeds
## Step 3: Calculate the number of small planters needed to hold the remainin... | 4 small planters x 4 seeds/ small planter = <<4*4=16>>16 seeds
200 basil seeds / 16 seeds/planter = 10.25 planters
Since he can't plant a fraction of a planter, he needs 11 planters
\boxed{11} | 30 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Eric sorted 150 colored pencils into 5 containers for his art class. Before class, another teacher brought him 30 more pencils. How many can he evenly distribute between the five containers now?... | ______
## Step 1: Calculate the total number of pencils Eric has to distribute.
Eric initially had 150 pencils and received 30 more. So, he now has a total of 150 + 30 = 180 pencils.
## Step 2: Determine how many pencils Eric can evenly distribute to each container.
To find the number of pencils Eric can evenly distr... | A) 18
B) 30
C) 25
D) 28
E) 30
Answer:
Each container can hold 30 ÷ 5 = 6 pencils.
So, now he can evenly distribute 6 pencils between the five containers.
\boxed{6}
```
Please make sure you check your work before submitting it as the final answer. | 36 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Oleg is an event organizer. He is organizing an event with 80 guests where 40 of them are men, half the number of men are women, and the rest are children. If he added 10 children to the guest l... | ## Step 1: Determine the number of women at the event.
Since there are half the number of men, and there are 40 men, the number of women is 40 / 2 = 20.
## Step 2: Calculate the number of children at the event.
Oleg added 10 children to the guest list, and the total number of guests at the event is 80. Therefore, the ... | ## Step 1: Determine the number of women at the event.
Since there are half the number of men, the number of women is 40 / 2 = 20.
## Step 2: Determine the total number of men and women at the event before adding the children.
The total number of men and women is 40 + 20 = 60.
## Step 3: Calculate the number of child... | 30 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Stella collects stamps. She counted 50 pages in her collector's album. There are 5 rows of 30 stamps in each of the first 10 pages of her album. The rest of the pages each have 50 stamps. How ma... | ## Step 1: First, calculate the total number of stamps in the first 10 pages.
5 rows of 30 stamps each means there are 5 * 30 = 150 stamps in each page. So 10 pages will have 150 * 10 = 1500 stamps.
## Step 2: Calculate the number of stamps in the rest of the pages.
There are 50 - 10 = 40 pages left after the first 10... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total number of stamps in the first 10 pages
The first 10 pages have 5 rows of 30 stamps each. So, the total number of stamps in the first 10 pages is 5 * 30 = 150.
## Step 2: Calculate the number of stamps in the remaining pages
There are 50 pages remaining in the album, ... | 3500 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay?
| \boxed{YOUR_ANSWER}
## Step 1: Calculate the cost of the first 100 channels.
The first 100 channels cost $100.
## Step 2: Calculate the cost of the next 100 channels.
The next 100 channels cost half as much, so $100 / 2 = $50.
## Step 3: Calculate the total cost of the 200 channels.
Total cost = cost of first 100 ch... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the cost of the first 100 channels
The first 100 channels cost $100.
## Step 2: Calculate the cost of the next 100 channels
The next 100 channels cost half the cost of the first 100, which is $100 / 2 = $50.
## Step 3: Calculate the total cost of all channels
The total cost o... | 75 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with four liters of water in the morning and six liters in the evening. How ma... | ## Step 1: Calculate the total amount of water the sprinkler system waters in one day.
In the morning, the system waters 4 liters, and in the evening, it waters 6 liters. So the total water usage in a day is 4 + 6 = 10 liters.
## Step 2: Determine how many days it takes for the sprinkler system to use 50 liters of wat... | ## Step 1: Calculate the total water used by the sprinkler system in a day.
In the morning, the sprinkler system uses 2 * 4 = 8 liters of water, and in the evening, it uses 2 * 6 = 12 liters of water, for a total of 8 + 12 = 20 liters of water used per day.
## Step 2: Calculate the number of days it takes the sprinkle... | 5 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mr. Langsley commutes to work every day by bus. The bus picks him up at 6:00 a.m. and takes forty minutes to arrive at the first station. If Mr. Langsley arrives at work at 9:00 a.m., what's the... | ## Step 1: First, calculate the total time from the time Mr. Langsley's bus picks him up at 6:00 a.m. to the time he arrives at work at 9:00 a.m.
From 6:00 a.m. to 9:00 a.m. is a total of 3 hours, which is equal to 3 * 60 = 180 minutes.
## Step 2: Subtract the time it takes for the bus to arrive at the first station f... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total travel time from the first station to work
The bus takes 40 minutes to arrive at the first station and Mr. Langsley arrives at work at 9:00 a.m., which is 3 hours later.
## Step 2: Convert the total travel time from hours to minutes
There are 60 minutes in an hour, s... | 140 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Janessa has a plan to give her brother Dexter his first collection of baseball cards. She currently has 4 cards in addition to the 13 that her father gave her. She ordered a collection of 36 ca... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the total number of cards Janessa has before throwing any away.
Janessa starts with 4 cards from her father, the 13 cards she already has, and the 36 she ordered from eBay. So, the total number of cards is 4 + 13 + 36 = 53.
## Step 2: Subtract the cards Janessa threw away fro... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the total number of cards Janessa initially had before ordering more.
Janessa initially had 4 cards and her father gave her 13 cards, so she had 4 + 13 = 17 cards.
## Step 2: Calculate the total number of cards Janessa had after ordering more from eBay.
Janessa ordered 36 ca... | 20 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
John buys 3 barbells and gives $850 and gets $40 in change. How much did each barbell cost?
| ## Step 1: Calculate the total amount John spent on barbells.
John spent 850 - 40 = 810 dollars on barbells.
## Step 2: Calculate the cost of each barbell.
To find the cost of each barbell, we divide the total amount spent by the number of barbells: 810 / 3 = 270 dollars per barbell.
The final answer is: $\boxed{270}... | ## Step 1: Determine the total cost of the barbells and change
The total cost of the barbells and change is $850 (given amount) + $40 (change) = $890.
## Step 2: Calculate the total amount spent on the barbells
Since John gave $850 and got $40 in change, the total amount spent on the barbells is $850 (given amount) + ... | 270 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours a week. If his second job p... | Let x be the number of dollars Mike earned from his first job.
Then, the equation is x + 9(12) = 160.
x + 108 = 160.
x = 52.
\boxed{52}.
Unfortunately, I am not able to verify if the solution to this question is correct or not. I am guessing that the solution to this question is correct and that I am correct in the f... | ## Step 1: Let's assume the amount earned from Mike's first job is x dollars.
## Step 2: Mike worked for 12 hours at the second job and for 8 hours at the first job, so his total hours worked is 12 + 8 = 20 hours.
## Step 3: If his second job pays $9 per hour, then his earnings from the second job is 9 * 20 = $180.
## ... | 52 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as he sleds down the tall hills... | ## Step 1: Calculate the number of times Wilson sleds down the tall hills.
Wilson sleds down 4 times each of the 2 tall hills, which gives a total of 4 x 2 = 8 times.
## Step 2: Calculate the number of times Wilson sleds down the small hills.
He sleds down the small hills half as often as the tall hills, so he sleds d... | ## Step 1: Calculate the number of times Wilson sleds down the tall hills
On the 2 tall hills, Wilson sleds down them 4 times each, so the total number of times he sleds down the tall hills is 2 * 4 = 8 times.
## Step 2: Calculate the number of times Wilson sleds down the small hills
On the 3 small hills, Wilson sleds... | 14 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are there?
| ## Step 1: Define the number of cherry sodas as C and the number of orange pops as O.
## Step 2: We know that there are twice as many cans of orange pop as there are of cherry soda, so O = 2C.
## Step 3: We also know that the total number of cans is 24, so C + O = 24.
## Step 4: Substituting O = 2C into C + O = 24 ... | Let x be the number of cherry sodas.
## Step 1: Let's define the variables and create an equation
Let x be the number of cherry sodas and 2x be the number of orange sodas.
## Step 2: Write an equation based on the problem
Since there are twice as many cans of orange pop as there are of cherry soda, we can write the e... | 8 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Daryl is loading crates at a warehouse and wants to make sure that they are not overloaded. Each crate can weigh up to 20kg and he has 15 crates he can fill. He has 4 bags of nails to load, each... | ## Step 1: Calculate the total weight of the nails
The total weight of the nails is 4 bags * 5kg/bag = 20kg.
## Step 2: Calculate the total weight of the hammers
The total weight of the hammers is 12 bags * 5kg/bag = 60kg.
## Step 3: Calculate the total weight of the wooden planks
The weight of one wooden plank is 30... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total weight of all the items
To find the total weight of the items, we first calculate the weight of the nails, hammers, and wooden planks separately and then add them together. The weight of the nails is 4 bags * 5kg/bag = 20kg. The weight of the hammers is 12 bags * 5kg/... | 80 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Kwame studied for the history test for 2.5 hours. Connor studied for 1.5 hours and Lexia studied for 97 minutes. How many minutes more did Kwame and Connor study than Lexia?
| \boxed{YOUR_ANSWER}.
## Step 1: Convert Kwame's study time from hours to minutes
Kwame studied for 2.5 hours, which is equal to 2.5 x 60 = 150 minutes.
## Step 2: Convert Connor's study time from hours to minutes
Connor studied for 1.5 hours, which is equal to 1.5 x 60 = 90 minutes.
## Step 3: Calculate the total s... | \boxed{YOUR_ANSWER}
## Step 1: Convert Kwame's study time from hours to minutes
Kwame studied for 2.5 hours, so he studied for 2.5 * 60 = 150 minutes.
## Step 2: Convert Connor's study time from hours to minutes
Connor studied for 1.5 hours, so he studied for 1.5 * 60 = 90 minutes.
## Step 3: Calculate the total stu... | 143 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Aunt May milks her cows twice a day. This morning she got 365 gallons of milk. This evening she got 380 gallons. She sold 612 gallons to the local ice cream factory. She had 15 gallons left ove... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total gallons of milk collected
Aunt May collected 365 gallons of milk this morning and 380 gallons this evening. The total gallons collected is 365 + 380 = 745.
## Step 2: Add the leftover gallons from yesterday
Aunt May had 15 gallons left over from yesterday. The total ... | \boxed{YOUR_ANSWER}
## Step 1: First, let's find the total amount of milk Aunt May got this morning and this evening.
Total milk this morning and this evening = 365 + 380 = 745 gallons.
## Step 2: Next, let's add the amount of milk Aunt May had left over from yesterday to the total milk she got this morning and this ... | 148 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Abigail is trying a new recipe for a cold drink. It uses 1/4 of a cup of iced tea and 1 and 1/4 of a cup of lemonade to make one drink. If she fills a pitcher with 18 total cups of this drink, h... | ## Step 1: Calculate the total amount of iced tea in one drink.
One drink uses 1/4 of a cup of iced tea.
## Step 2: Calculate the total amount of lemonade in one drink.
One drink uses 1 and 1/4 of a cup of lemonade, which can be written as 5/4 of a cup.
## Step 3: Calculate the total amount of one drink.
One drink us... | Let x represent the number of cups of lemonade.
## Step 1: Understand the ratio of ingredients in one drink
The recipe uses 1/4 cup of iced tea and 1 and 1/4 cups of lemonade to make one drink.
## Step 2: Convert mixed number to improper fraction
To make calculations easier, convert 1 and 1/4 to an improper fraction:... | 15 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Juan needs 10 half-gallons of milk to bake 40 cookies with. How many half-gallons of milk does Juan need to bake 200 dozen cookies?
| First, find the number of half-gallons of milk per dozen cookies:
\frac{10}{40}=\frac{1}{4}
Then multiply that number by 200 dozen cookies:
\frac{1}{4}\times200=\boxed{50} half-gallons.
\boxed{50} | ## Step 1: Determine the amount of milk needed per cookie
Juan needs 10 half-gallons of milk to bake 40 cookies, so the amount of milk needed per cookie is 10 / 40 = 1/4 gallon.
## Step 2: Calculate the total amount of milk needed for 200 dozen cookies
Since there are 12 cookies in a dozen, 200 dozen cookies is equal ... | 50 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A single train car can carry 60 passengers. A 747 airplane can carry 366 passengers. How many more passengers can a train with 16 cars carry than 2 airplanes?
| ## Step 1: Calculate the total number of passengers a 2 airplanes can carry.
2 airplanes can carry 2 * 366 = 732 passengers.
## Step 2: Calculate the total number of passengers a train with 16 cars can carry.
A train with 16 cars can carry 16 * 60 = 960 passengers.
## Step 3: Calculate the difference in the number of... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the total number of passengers a 747 airplane can carry.
A 747 airplane can carry 366 passengers.
## Step 2: Calculate the total number of passengers a train with 16 cars can carry.
A single train car can carry 60 passengers, so a 16-car train can carry 16 * 60 = 960 passenge... | 228 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Adam teaches 50 students a year. How many students will Adam teach in 10 years if in the first year he only teaches 40 students?
| a) 1300
b) 900
c) 3000
d) 4000
## Step 1: Calculate the number of students Adam teaches in the first year.
Adam teaches 40 students in the first year.
## Step 2: Calculate the number of students Adam teaches per year for the remaining 9 years.
There are 50 - 40 = 10 students Adam teaches per year.
## Step 3: Multipl... | a) 400
b) 420
c) 440
d) 500
e) 550
## Step 1: Calculate the number of students Adam teaches per year after the first year.
Adam teaches 50 students a year initially, but in the first year he teaches only 40 students. So, the number of students he teaches per year after the first year is 50 - 40 = 10.
## Step 2: Calcu... | 490 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
The tallest of 3 trees is 108 feet. The middle sized tree is 6 feet less than half the height of the tallest tree. The smallest tree is 1/4 the height of the middle tree. How tall is the small... | \boxed{YOUR_ANSWER}
## Step 1: Identify the height of the tallest tree
The tallest tree is 108 feet.
## Step 2: Calculate the height of the middle tree
The middle tree is 6 feet less than half the height of the tallest tree. Half the height of the tallest tree is 108 / 2 = 54. The height of the middle tree is 54 - 6 ... | \boxed{YOUR_ANSWER}
## Step 1: Determine the height of the middle-sized tree.
The height of the tallest tree is 108 feet. The middle-sized tree is 6 feet less than half the height of the tallest tree, which means it is 108 / 2 - 6 = 54 feet.
## Step 2: Determine the height of the smallest tree.
The height of the midd... | 12 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Jane, Kyla, and Anthony have summer jobs in a resort. Their task is to fold guests' towels. Jane can fold 3 towels in 5 minutes. Kyla can fold 5 towels in 10 minutes, and Anthony can fold 7 towe... | ## Step 1: First, we need to determine how many towels Jane can fold in one hour.
There are 60 minutes in one hour, and Jane can fold 3 towels in 5 minutes. So, in one hour, she can fold 60/5 * 3 = 36 towels.
## Step 2: Next, we need to determine how many towels Kyla can fold in one hour.
There are 60 minutes in one h... | ## Step 1: Determine the rate of folding for Jane.
Jane can fold 3 towels in 5 minutes, so her rate is 3 towels / 5 minutes = 0.6 towels per minute.
## Step 2: Determine the rate of folding for Kyla.
Kyla can fold 5 towels in 10 minutes, so her rate is 5 towels / 10 minutes = 0.5 towels per minute.
## Step 3: Determi... | 87 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Carla, Kyle, and Tasha caught 36 fish. If Kyle and Tasha caught the same number of fish and Carla caught 8, how many fish did Kyle catch?
| \boxed{YOUR_ANSWER}
## Step 1: Let's first denote the number of fish Kyle caught as x.
Since Kyle and Tasha caught the same number of fish, Tasha also caught x fish.
## Step 2: Carla caught 8 fish, so the total number of fish caught by all three is 8 + x + x = 36.
## Step 3: To find the value of x, we need to sol... | ## Step 1: Determine the total number of fish caught by Carla, Kyle, and Tasha.
Carla, Kyle, and Tasha caught a total of 36 fish.
## Step 2: Determine the number of fish caught by Carla and Kyle.
Carla caught 8 fish.
## Step 3: Determine the number of fish caught by Kyle.
Since Kyle and Tasha caught the same numbe... | 14 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A store received 20 pallets of paper products to stock. Half the pallets were paper towels, a quarter were tissues, and a fifth were paper plates. The rest were paper cups. How many pallets of p... | ## Step 1: First, let's find out how many pallets of paper towels, tissues, and paper plates the store received.
20 pallets * 0.5 = 10 pallets of paper towels
20 pallets * 0.25 = 5 pallets of tissues
20 pallets * 0.2 = 4 pallets of paper plates
## Step 2: Now, let's find out how many pallets of paper cups the store re... | ## Step 1: Calculate the number of paper towels pallets.
First, we find the number of paper towels pallets by dividing the total number of pallets by 2. 20 pallets / 2 = 10 paper towels pallets.
## Step 2: Calculate the number of tissues pallets.
Next, we calculate the number of tissues pallets by dividing the total n... | 1 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mark is reading books, for 2 hours each day. He decided to increase his time spent on reading books weekly, by 4 hours. How much time does Mark want to spend during one week on reading books?
| ## Step 1: Calculate the time Mark currently spends on reading books in a week
Mark spends 2 hours each day reading books and there are 7 days in a week, so he spends 2 * 7 = 14 hours per week reading books.
## Step 2: Calculate the new total time Mark wants to spend on reading books in a week
Mark wants to increase h... | ## Step 1: First, let's find out how much time Mark reads per week.
Mark reads 2 hours each day, and there are 7 days in a week, so he reads 2 hours/day * 7 days/week = 14 hours/week.
## Step 2: Now let's find the new time Mark wants to spend on reading books during the week.
The new time is 2 hours/day + 4 hours/day ... | 18 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
James buys 6 t-shirts for 50% off. They each cost $20. How much did he pay?
| ## Step 1: Calculate the original price of all t-shirts.
The original price of all t-shirts is $20 * 6 = $120.
## Step 2: Calculate the discount on all t-shirts.
The discount is 50% of $120, which is 0.5 * $120 = $60.
## Step 3: Calculate the price James paid for all t-shirts after the discount.
The price James paid ... | ## Step 1: First, let's find the original price of one t-shirt.
Since James buys 6 t-shirts for 50% off, the original price of one t-shirt is 100% / 50% = 2 times the discounted price of one t-shirt.
## Step 2: Calculate the price of one t-shirt before the discount.
One t-shirt originally costs 2 * $20 = $40.
## Step... | 60 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Alicia has to buy some books for the new school year. She buys 2 math books, 3 art books, and 6 science books, for a total of $30. If both the math and science books cost $3 each, what was the c... | ## Step 1: First, let's identify the total cost of the math and science books.
The total cost of the math books is 2 * 3 = $6 and the total cost of the science books is 6 * 3 = $18.
## Step 2: Next, we'll find the total cost of the math and science books.
The total cost of the math and science books is 6 + 18 = $24.
... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total cost of the math and science books.
The total cost of the math and science books is 2 * $3 = $6.
## Step 2: Calculate the remaining amount of money after buying the math and science books.
The total amount Alicia spent is $30, and she spent $6 on math and science boo... | 2 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A jar contains 9 blue pens, 21 black pens, and 6 red pens. Four blue pens are removed and then seven black pens are removed. How many pens are left in the jar?
| ## Step 1: Determine the initial total number of pens in the jar.
There are 9 blue pens, 21 black pens, and 6 red pens, making a total of 9 + 21 + 6 = 36 pens.
## Step 2: Calculate the number of pens left after four blue pens are removed.
36 pens - 4 blue pens = 32 pens left.
## Step 3: Calculate the number of pens l... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the total number of pens initially in the jar.
The total number of pens initially in the jar is 9 (blue) + 21 (black) + 6 (red) = 36 pens.
## Step 2: Calculate the number of blue pens left after 4 are removed.
The number of blue pens left after 4 are removed is 9 - 4 = 5.
##... | 25 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Three siblings are born 5 years apart, each. If the eldest child is 20 years old now, what's the total of the ages of the three siblings 10 years from now?
| ## Step 1: Determine the current ages of the three siblings.
The eldest child is 20 years old, so the next two children are 5 years younger than the eldest. Therefore, the current ages of the siblings are 20, 15, and 10 years old.
## Step 2: Calculate the ages of the three siblings 10 years from now.
The eldest child ... | ## Step 1: Determine the current ages of the siblings.
Since the eldest child is 20 years old, the current ages of the other two siblings are 20 - 5 = 15 years old and 15 - 5 = 10 years old.
## Step 2: Calculate the ages of the siblings 10 years from now.
If the eldest child is 20 years old now, 10 years from now, she... | 75 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A mother planted a 16-inch tree on her son's first birthday. On the day the tree was planted, the boy was 24 inches tall. If the tree grows twice as fast as the boy does, how tall will the tre... | ## Step 1: Determine the growth rate of the tree compared to the boy.
The tree grows twice as fast as the boy.
## Step 2: Calculate the tree's growth over the next 12 years.
The boy grows 12 inches over 12 years, so the tree will grow 2 * 12 = 24 inches over the same period.
## Step 3: Calculate the tree's final heig... | \boxed{YOUR_ANSWER}
## Step 1: Determine how much the boy grows in one year
The boy grows 24 - 16 = 8 inches per year.
## Step 2: Calculate how much the tree will grow in one year
Since the tree grows twice as fast as the boy, it will grow 2 * 8 = 16 inches per year.
## Step 3: Find the number of years the tree will... | 40 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mike watches TV for 4 hours every day. On the days he plays video games he plays for half as long as he watches TV. If he plays video games 3 days a week how long does he spend watching TV and... | ## Step 1: Determine how long Mike spends watching TV in a week.
Mike watches TV for 4 hours every day, so in a week he watches TV for 4 * 7 = 28 hours.
## Step 2: Calculate how long Mike spends playing video games in a week.
He spends half as long watching video games as watching TV, which means he spends 4 / 2 = 2 h... | \boxed{YOUR_ANSWER}
## Step 1: Calculate how long Mike watches TV each day.
Mike watches TV for 4 hours a day.
## Step 2: Calculate how long Mike plays video games each day.
Since Mike plays video games half as long as he watches TV, he plays video games for 4 / 2 = 2 hours a day.
## Step 3: Calculate how long Mike ... | 34 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Henry had some games, and he gave six of them to Neil. Now, Henry has 4 times more games than Neil. If Neil had 7 games at first, how many games did Henry have at first?
| \boxed{YOUR_ANSWER}.
## Step 1: Identify the initial number of games Neil had
Neil initially had 7 games.
## Step 2: Determine the number of games Neil had after Henry gave him 6 games
After receiving 6 games from Henry, Neil had 7 + 6 = 13 games.
## Step 3: Establish the relationship between Henry and Neil's remain... | \boxed{YOUR_ANSWER}
## Step 1: Understand the problem
Henry initially had an unknown number of games, and after giving 6 games to Neil, he had 4 times as many games as Neil.
## Step 2: Define the initial number of games as a variable
Let's denote the initial number of games Henry had as x.
## Step 3: Formulate the r... | 58 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Michael saved 5 of his cookies to give Sarah, who saved a third of her 9 cupcakes to give to Michael. How many desserts does Sarah end up with?
| ## Step 1: First, calculate how many cookies Michael gives to Sarah.
Michael saves 5 cookies to give to Sarah.
## Step 2: Next, calculate how many cupcakes Sarah gives to Michael.
Sarah has 9 cupcakes and gives 1/3 of them to Michael. So she has 9 - (1/3 * 9) = 9 - 3 = 6 cupcakes left.
## Step 3: Now, calculate the t... | ## Step 1: Calculate the number of cupcakes Sarah gives to Michael
Sarah has 9 cupcakes and gives a third of them to Michael, so the number of cupcakes she gives is 9 / 3 = 3.
## Step 2: Calculate the number of desserts Sarah ends up with
Sarah ends up with her original 9 cupcakes and 3 that Michael gave her, so the t... | 11 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Erin runs her own launderette and needs to cash in the change from the machines. There are 80 quarters and 100 dimes in every machine in the launderette. When Erin empties all of the machines an... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the total value of the quarters.
The total value of the quarters can be calculated by multiplying the number of quarters by the value of each quarter, which is $0.25. So, the total value of the quarters is 80 * $0.25 = $20.
## Step 2: Calculate the total value of the dimes.
T... | ## Step 1: First, let's determine the total amount of money Erin got from the dimes.
There were 100 dimes in each machine and each dime is worth $0.10, so the total amount of money Erin got from the dimes is 100 * $0.10 = $10.
## Step 2: Next, let's calculate how much money Erin got from the quarters.
Since there are ... | 3 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A printing press is printing brochures. The press prints 20 single-page spreads, and twice as many double-page spreads. For each 4 pages printed for the spreads, the press prints a block of 4 ad... | \boxed{YOUR_ANSWER}.
## Step 1: Determine the number of single-page spreads and double-page spreads printed by the press.
The press prints 20 single-page spreads, and twice as many double-page spreads, which means it prints 20 * 2 = 40 double-page spreads.
## Step 2: Calculate the total number of pages printed for t... | ## Step 1: Calculate the number of double-page spreads
Since the press prints 20 single-page spreads, and twice as many double-page spreads, the number of double-page spreads is 20 * 2 = 40.
## Step 2: Calculate the number of pages for the spreads
Each single-page spread has 2 pages, so the total number of pages from ... | 25 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Richard can clean his room in 22 minutes. Cory takes 3 minutes more than Richard to clean her room while Blake can clean his room 4 minutes more quickly than Cory. If they have to clean their ro... | ## Step 1: Calculate how long it takes Cory to clean her room.
Cory takes 22 + 3 = 25 minutes to clean her room.
## Step 2: Calculate how long it takes Blake to clean his room.
Blake takes 25 - 4 = 21 minutes to clean his room.
## Step 3: Calculate the total time spent cleaning their rooms in a week by Richard, Cory,... | ## Step 1: Calculate how long it takes Cory to clean her room
Since Richard takes 22 minutes to clean his room, Cory takes 22 + 3 = 25 minutes.
## Step 2: Calculate how long it takes Blake to clean his room
Since Cory takes 25 minutes to clean her room, Blake takes 25 - 4 = 21 minutes.
## Step 3: Calculate how many m... | 136 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Nathan plays amateur baseball. He played for 3 hours for two weeks, every day. His friend Tobias played for 5 hours every day, but only for one week. How many hours did Nathan and Tobias play in... | ## Step 1: Calculate the total number of hours Nathan played baseball.
Nathan played for 3 hours every day for 2 weeks, which means he played for 3 * 14 = 42 hours.
## Step 2: Calculate the total number of hours Tobias played baseball.
Tobias played for 5 hours every day for 1 week, which means he played for 5 * 7 = 3... | ## Step 1: Calculate the total hours Nathan played
Nathan played for 3 hours every day for 2 weeks, which is equal to 3 * 7 = 21 hours.
## Step 2: Calculate the total hours Tobias played
Tobias played for 5 hours every day for 1 week, which is equal to 5 * 7 = 35 hours.
## Step 3: Calculate the total hours both Natha... | 77 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
If the sum of two numbers is 33, and if the second number is twice the first number, what is the second number?
| ## Step 1: Let's represent the first number as x.
## Step 2: Since the second number is twice the first number, we can represent the second number as 2x.
## Step 3: The sum of the two numbers is 33, so we can write the equation x + 2x = 33.
## Step 4: Combine like terms to get 3x = 33.
## Step 5: Divide both sides of t... | ## Step 1: Let's represent the first number as x.
The second number is twice the first number, so it can be represented as 2x.
## Step 2: We know that the sum of the two numbers is 33.
So we can set up the equation x + 2x = 33 to represent the sum of the two numbers.
## Step 3: Simplify the equation by combining like... | 22 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A jug is filled with 5 liters of water and a bucket is filled with 4 jugs. How many liters of water are contained in 2 buckets?
| \boxed{YOUR_ANSWER}.
## Step 1: Determine the total amount of water in one bucket.
Since each jug is filled with 5 liters of water, each bucket contains 5 * 4 = 20 liters of water.
## Step 2: Calculate the total amount of water in two buckets.
Two buckets contain 2 * 20 = 40 liters of water.
The final answer is: $\b... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the amount of water in one jug
First, let's determine how much water is in one jug. Since the jug is filled with 5 liters of water, this is the total amount of water in one jug.
## Step 2: Calculate the total amount of water in four jugs
Next, let's find out how much water is... | 40 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Donovan Mitchell is currently averaging 26 points per game. His team has played 15 games this season. He has a goal of averaging 30 points per game for the entire 20 game season. How many points... | ## Step 1: First, let's find out how many points Donovan Mitchell currently has in total.
26 points per game * 15 games = 390 points.
## Step 2: Now let's find out how many points Donovan Mitchell still needs to reach his goal.
30 points per game * 20 games = 600 points.
## Step 3: Next, let's find out how many point... | ______
## Step 1: Calculate the total number of points Donovan Mitchell has averaged so far this season.
Donovan Mitchell is averaging 26 points per game, and his team has played 15 games. So the total number of points he has is 26 * 15 = 390.
## Step 2: Calculate the total number of points Donovan Mitchell needs to ... | 42 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
25% of oysters have pearls in them. Jamie can collect 16 oysters during each dive. How many dives does he have to make to collect 56 pearls?
| ## Step 1: Calculate the number of pearls Jamie can collect per dive.
Since 25% of the oysters have pearls, and Jamie can collect 16 oysters per dive, the number of pearls he can collect per dive is 25% of 16, which is 0.25 * 16 = 4.
## Step 2: Determine how many dives Jamie needs to make to collect 56 pearls.
To find... | ## Step 1: Calculate the number of oysters that Jamie can collect in one dive.
25% of oysters has pearls means that for every 100 oysters, Jamie will collect 25. So, for 1 oyster, he will collect 1/4 oysters with pearls.
So the number of oysters that Jamie can collect in one dive is 16 * 4 = 64 oysters.
## Step 2: Cal... | 14 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Pauline has a garden with vegetables. In it, Pauline has planted 3 kinds of tomatoes - 5 of each kind, 5 kinds of cucumbers - 4 of each kind, and 30 potatoes. In the whole garden, there are 10 r... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total number of tomatoes
Pauline has 3 kinds of tomatoes with 5 of each kind, so the total number of tomatoes is 3 * 5 = 15.
## Step 2: Calculate the total number of cucumbers
Pauline has 5 kinds of cucumbers with 4 of each kind, so the total number of cucumbers is 5 * 4 =... | ______
## Step 1: Calculate the total number of tomatoes planted.
There are 5 kinds of tomatoes and 3 rows, so 5 * 3 = 15 tomatoes can be planted in total.
## Step 2: Calculate the total number of cucumbers planted.
There are 4 kinds of cucumbers and 3 rows, so 4 * 3 = 12 cucumbers can be planted in total.
## Step 3... | 85 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
In preparation for the church fundraiser, Julia bakes one less than 5 cakes per day for 6 days. Unfortunately, every other day, Julia's brother, Clifford, sneaks into Julia's house and eats one... | ## Step 1: First, calculate the number of cakes Julia bakes in a day.
Julia bakes 5 - 1 = 4 cakes per day.
## Step 2: Then, calculate the total number of cakes Julia bakes in 6 days.
4 cakes per day * 6 days = 24 cakes.
## Step 3: Calculate the number of cakes Clifford eats in 6 days.
Clifford eats one cake per two d... | ## Step 1: Calculate the total number of cakes Julia bakes in 6 days.
Julia bakes 5 cakes per day for 6 days, so she bakes 5 * 6 = 30 cakes.
## Step 2: Calculate the number of cakes Clifford eats in 6 days.
Clifford eats one cake per day for 6 days, so he eats 1 * 6 = 6 cakes.
## Step 3: Calculate the total number of... | 21 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
James takes 5 oranges and breaks each orange into 8 pieces. He splits the pieces between 4 people. If an orange has 80 calories how many calories does each person get?
| ## Step 1: Calculate the total number of orange pieces James breaks into.
James breaks 5 oranges into 8 pieces each, so the total number of pieces is 5 * 8 = 40.
## Step 2: Calculate the total number of orange pieces James gives to the people.
He splits the 40 pieces into 4 people, so each person gets 40 / 4 = 10 piec... | ## Step 1: Calculate the total number of pieces after breaking each orange.
James breaks 5 oranges, so the total number of pieces is 5 * 8 = 40.
## Step 2: Calculate the number of pieces each person gets.
The pieces are split between 4 people, so each person gets 40 / 4 = 10 pieces.
## Step 3: Calculate the number of... | 100 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
A vampire drains three people a week. His best friend is a werewolf who eats five people a week, but only fresh ones, never drained ones. How many weeks will a village of 72 people last them bot... | ## Step 1: Calculate how many people both the vampire and his werewolf friend consume per week.
The vampire drains 3 people a week, and his friend eats 5 people a week, so together they consume 3 + 5 = 8 people a week.
## Step 2: Calculate how many weeks the village will last both the vampire and his friend.
The villa... | ## Step 1: Calculate the total number of people drained by the vampire each week.
The vampire drains 3 people a week.
## Step 2: Calculate the total number of people drained by the werewolf each week.
The werewolf eats 5 people a week, and they only eat fresh ones, so they do not drain any drained ones, so they do not... | 9 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Jane is dividing up minnows to be carnival prizes. She bought 600 minnows, and each prize is a bowl with 3 minnows. If 800 people are going to play the game and 15% win a prize, how many minnows... | ## Step 1: Calculate how many prizes will be won by 800 people.
15% of 800 people will win a prize. 15% can be calculated as 0.15 * 800 = 120 people.
## Step 2: Calculate the total number of minnows given out as prizes.
Each prize is a bowl with 3 minnows. If 120 people win a prize, then the total number of minnows gi... | ## Step 1: First, calculate the total number of prizes that will be awarded.
To find the number of prizes, multiply the number of people playing by the number of minnows per prize: 800 * 3 = 2400 minnows.
## Step 2: Then, calculate the total number of minnows that will be lost.
Multiply the number of prizes by the num... | 240 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Miriam takes care of the flowers in the botanical garden. She works 5 hours a day and can take care of 60 different flowers in one day. How many flowers can Miriam take care of in 6 days of work... | ## Step 1: Calculate the number of flowers Miriam can take care of in one day.
Miriam can take care of 60 different flowers in one day.
## Step 2: Calculate the number of flowers Miriam can take care of in 6 days of work.
To find the number of flowers Miriam can take care of in 6 days, we multiply the number of flower... | ## Step 1: Calculate the number of flowers Miriam can take care of in one day
Miriam takes care of 60 flowers in 5 hours, so she can take care of 60 / 5 = 12 flowers per day.
## Step 2: Calculate the number of flowers Miriam can take care of in 6 days
Miriam can take care of 12 flowers per day, so in 6 days she can ta... | 360 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Tony drinks 72 ounces of water per day. He decides that to stop wasting plastic, he will buy a reusable metal bottle. If he buys an 84-ounce water bottle, how many times will he fill it each wee... | ## Step 1: Calculate the total amount of water Tony drinks in a week.
Tony drinks 72 ounces of water per day. So in a week, he will drink 72 ounces/day * 7 days/week = 504 ounces/week.
## Step 2: Calculate how many times he needs to fill the water bottle each week.
Tony needs to fill the 84-ounce water bottle for 504 ... | ## Step 1: Calculate how many ounces Tony needs to fill each week.
Tony needs to fill the water bottle 7 days in a week, since there are 7 days in a week.
## Step 2: Calculate the total ounces Tony needs to fill the bottle each week.
Tony needs to fill the 84-ounce water bottle 7 times in a week, so he needs to fill i... | 6 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Stan hires a magician for $60 an hour. He works 3 hours every day for 2 weeks. How much money does he pay the magician?
| ## Step 1: Calculate the total number of days worked
Stan works 3 hours every day for 2 weeks, so the total number of days is 3 * 14 = 42 days.
## Step 2: Calculate the total amount of money paid to the magician
Stan pays $60 an hour for 42 days, so the total amount of money paid is 60 * 42 = 2520 dollars.
The final ... | ## Step 1: First, calculate the total number of days the magician works in 2 weeks.
2 weeks * 7 days/week = 14 days.
## Step 2: Next, calculate the total amount of money the magician earns in 2 weeks.
60 dollars/hour * 14 days = 840 dollars.
The final answer is: $\boxed{840}$ | 2520 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
There are 9 boys and 12 girls in a class. The teacher needs to create groups with three members for their class activity. How many groups are formed?
| ## Step 1: Calculate the total number of students in the class.
The total number of students in the class is 9 (boys) + 12 (girls) = 21.
## Step 2: Calculate the number of groups that can be formed with three members in each group.
The number of groups that can be formed is 21 (total students) / 3 (number of students ... | Number of boys in each group: 3
Number of girls in each group: 3
\boxed{YOUR_ANSWER}
## Step 1: Calculate the total number of students in the class
The total number of students is the sum of the number of boys and girls. total_students = 9 + 12 = 21.
## Step 2: Calculate the number of groups that can be formed with... | 7 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Telegraph Road goes through multiple states and is 162 kilometers long. Pardee Road is 12000 meters long. How many kilometers longer is Telegraph Road than Pardee Road?
| ## Step 1: Convert the length of Pardee Road from meters to kilometers
To convert meters to kilometers, we divide by 1000 since 1 kilometer equals 1000 meters.
Pardee Road's length in kilometers = 12000 meters / 1000 = 12 kilometers.
## Step 2: Calculate the difference in length between Telegraph Road and Pardee Road
... | CONVERT TO-kilometers
## Step 1: Convert the length of Pardee Road from meters to kilometers
To convert meters to kilometers, we divide by 1000. So, 12000 meters is equal to 12 kilometers.
## Step 2: Calculate the difference in kilometers between Telegraph Road and Pardee Road
To find the difference, we subtract the ... | 150 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Simon has 20% more legos than Bruce, who has 20 more than Kent. If Kent has 40 legos, how many does Simon have?
| \boxed{YOUR_ANSWER}
## Step 1: First, let's find out how many legos Bruce has.
Since Kent has 40 legos and Bruce has 20 more than Kent, Bruce has 40 + 20 = 60 legos.
## Step 2: Now, let's find out how many legos Simon has.
Since Simon has 20% more legos than Bruce, and Bruce has 60 legos, Simon has 60 + (20/100)*60 =... | \boxed{YOUR_ANSWER}
## Step 1: First, let's determine the number of legos Kent has.
Kent has 40 legos.
## Step 2: Then, let's calculate how many more legos Kent has than Bruce.
Since Bruce has 20 more legos than Kent, Bruce has 40 + 20 = 60 legos.
## Step 3: Now, let's find out how many legos Simon has in relation t... | 72 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Layla is training for a bicycle race. She rode her bicycle slowly to the high school, rode four miles around the running track at her faster, race pace, and then rode back home, slowly, on the s... | ## Step 1: Let's denote the distance from Layla's house to the high school as x miles.
When Layla rode to the high school, she covered the distance x miles.
## Step 2: Layla rode four miles around the track at her faster race pace.
This means she covered an additional distance of 4 miles.
## Step 3: When Layla rode b... | ## Step 1: Define the variables for the problem.
Let x be the distance from Layla's house to the high school.
## Step 2: Use the information given in the problem to set up an equation.
We know that Layla rode her bicycle from home to the high school, then around the track and back home. The distance from home to the h... | 3 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Rebecca bought 22 items for her camping trip, including tent stakes, packets of drink mix, and bottles of water. She bought 3 times as many packets of drink mix as tent stakes. She also bought... | ## Step 1: Let's denote the number of tent stakes Rebecca bought as T.
The number of packets of drink mix Rebecca bought is 3 times the number of tent stakes, so it is 3T.
## Step 2: The number of bottles of water Rebecca bought is 2 more than the number of tent stakes, so it is T + 2.
## Step 3: We know that the tot... | ## Step 1: Let's denote the number of tent stakes as T, the number of packets of drink mix as D, and the number of bottles of water as W.
We know that T = 3D, W = T + 2, and D + W = 22.
## Step 2: We can substitute the expression for W from the third equation into the second equation to get W = T + 2 = 3D + 2.
## Ste... | 4 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Paolo has 14 coconuts, while Dante has thrice as many coconuts as Paolo. If Dante sold 10 of his coconuts, how many coconuts did he have left?
| Step-by-step reasoning flow:
Step 1: Find out how many coconuts Dante originally had
Dante had thrice as many coconuts as Paolo, so he had 3 x 14 coconuts = 42 coconuts.
Step 2: Subtract the number of coconuts Dante sold from the original number of coconuts
42 coconuts - 10 coconuts = 32 coconuts.
\boxed{32} | ## Step 1: First, we find out how many coconuts Dante had before selling any.
Since Dante has thrice as many coconuts as Paolo and Paolo has 14 coconuts, Dante has 3 * 14 = 42 coconuts.
## Step 2: Now we find out how many coconuts Dante had left after selling 10 coconuts.
If Dante had 42 coconuts and he sold 10, he ha... | 32 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
The mayor commissioned two artists to paint 50 murals around the city. Once the work was completed, Celina was paid $1,000 more than 4 times the amount Diego got. If the mayor paid the two a tot... | ## Step 1: Let's assign variables to the unknowns
Let's say the amount Diego got is x.
## Step 2: Set up the equation based on the information given
The amount Celina was paid is 4x + 1000. We know the mayor paid the two a total of $50,000, so we can write the equation 4x + 1000 + x = 50000.
## Step 3: Simplify the e... | \boxed{YOUR_ANSWER}
## Step 1: Let's define the variables for the payment to each artist.
Let C be the amount Diego got paid and D be the amount Celina got paid.
## Step 2: Set up the equation based on the information that Celina was paid $1,000 more than 4 times the amount Diego got.
D = 4C + 1000
## Step 3: Set up... | 9800 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Toby is making toast and adding peanut butter to it. He wants to make sure he has 500 calories for breakfast. A piece of bread has 100 calories. A serving of peanut butter has 200 calories. If h... | ## Step 1: Determine the total calories Toby wants to have.
Toby wants to have a total of 500 calories for breakfast.
## Step 2: Calculate the calories needed from the bread.
One piece of bread has 100 calories, so Toby needs 500 - 100 = 400 calories from the peanut butter.
## Step 3: Calculate how many servings of p... | \boxed{YOUR_ANSWER}.
## Step 1: Determine the total calories Toby needs to reach his goal
To calculate the total calories Toby needs, we need to multiply the number of calories he wants for breakfast (500) by the number of calories in one piece of bread (100). total_calories_needed = 500 * 100 = 50000.
## Step 2: Ca... | 2 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Sam has 3 German Shepherds and 4 French Bulldogs. Peter wants to buy 3 times as many German Shepherds as Sam has and 2 times as many French Bulldogs as Sam has. How many dogs does Peter want to ... | ## Step 1: Determine how many German Shepherds Peter wants to buy.
Peter wants to buy 3 times as many German Shepherds as Sam has, so 3 * 3 = 9 German Shepherds.
## Step 2: Determine how many French Bulldogs Peter wants to buy.
Peter wants to buy 2 times as many French Bulldogs as Sam has, so 2 * 4 = 8 French Bulldogs... | ## Step 1: Calculate the number of German Shepherds Peter wants to buy
Peter wants to buy 3 times as many German Shepherds as Sam has, and Sam has 3 German Shepherds. So Peter wants to buy 3 * 3 = 9 German Shepherds.
## Step 2: Calculate the number of French Bulldogs Peter wants to buy
Peter wants to buy 2 times as ma... | 17 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mark has 3 tanks for pregnant fish. Each tank has 4 pregnant fish and each fish gives birth to 20 young. How many young fish does he have at the end?
| ## Step 1: Calculate the total number of fish in the 3 tanks.
Mark has 3 tanks, each with 4 pregnant fish, so the total number of fish is 3 * 4 = 12.
## Step 2: Calculate the total number of young fish.
Each pregnant fish gives birth to 20 young fish, so the total number of young fish is 12 * 20 = 240.
The final answ... | ## Step 1: Calculate the total number of fish in all tanks
Mark has 3 tanks with 4 pregnant fish in each tank, so the total number of fish is 3 * 4 = 12.
## Step 2: Calculate the total number of young fish born
Each fish gives birth to 20 young fish, so the total number of young fish is 12 * 20 = 240.
## Step 3: Calc... | 240 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Madeline spends 18 hours a week in class. She spends 4 hours per day working on homework. She spends 8 hours per day sleeping. She works part-time 20 hours per week. How many hours left over doe... | ## Step 1: First, calculate how many hours Madeline spends on homework in a week.
Madeline spends 4 hours per day working on homework, and there are 7 days in a week, so the total number of hours she spends on homework in a week is 4 * 7 = 28 hours.
## Step 2: Next, calculate how many hours Madeline spends sleeping in... | ## Step 1: Calculate the total number of hours in a week.
There are 7 days in a week and Madeline spends 4 hours per day working on homework, so 7 * 4 = 28 hours per week on homework.
## Step 2: Calculate the total number of hours in a week that Madeline spends sleeping and working on homework.
Madeline spends 8 hours ... | 46 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
George and Amelia are picking oranges and apples at an orchard. George picks 45 oranges and 5 more apples than Amelia. Amelia picks 18 fewer oranges than George and 15 apples. How many fruits do... | \boxed{YOUR_ANSWER}
## Step 1: Determine the number of oranges George picks.
George picks 45 oranges.
## Step 2: Determine the number of oranges Amelia picks.
Amelia picks 18 fewer oranges than George, so Amelia picks 45 - 18 = 27 oranges.
## Step 3: Determine the number of apples Amelia picks.
Amelia picks 15 apple... | \boxed{YOUR_ANSWER}
## Step 1: Determine how many oranges George and Amelia picked in total.
George picked 45 oranges. Amelia picked 18 fewer oranges than George, so she picked 45 - 18 = 27 oranges.
## Step 2: Determine how many apples George and Amelia picked in total.
George picked 5 more apples than Amelia, so h... | 107 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
The total number of whales in the sea this year is double what it was last year. If the World Animals Organization predicts that there will be 800 more whales in the sea next year, and the numbe... | ## Step 1: Calculate the number of whales in the sea this year.
This year's number of whales is double last year's number, which is 2 * 4000 = 8000.
## Step 2: Calculate the total number of whales in the sea next year.
The number of whales predicted for next year is 800 more than the number this year, so it is 8000 + ... | \boxed{YOUR_ANSWER}.
## Step 1: Determine the number of whales in the sea this year.
This year's total number of whales is double the number from last year, which was 4000, so 2 * 4000 = 8000 whales.
## Step 2: Calculate the predicted number of whales in the sea next year.
The World Animals Organization predicts tha... | 8800 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Nancy earns $28 for working 4 hours. How many hours does she have to work to earn $70?
| \boxed{YOUR_ANSWER}
## Step 1: Determine the rate at which Nancy earns money
Nancy earns $28 for working 4 hours, so her rate of earning money per hour is $28 / 4 = $7 per hour.
## Step 2: Calculate the number of hours Nancy needs to work to earn $70
To find the number of hours Nancy needs to work to earn $70, we div... | ## Step 1: Calculate Nancy's hourly wage by dividing her earnings by the number of hours worked.
To find out how much Nancy earns per hour, we divide her total earnings of $28 by the number of hours she worked, which is 4.
## Step 2: Calculate the number of hours Nancy needs to work to earn $70.
To find out how many h... | 10 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mr. Johnson has a prescription with enough pills for 30 days. After four-fifths of the days, he has 12 pills left. How many pills is Mr. Johnson supposed to take a day if he takes the same dose ... | ## Step 1: Calculate the number of days Mr. Johnson has taken the pills
Since Mr. Johnson has the prescription for 30 days and he has taken four-fifths of the days, he has taken the pills for 30 * (4/5) = 24 days.
## Step 2: Calculate the number of days Mr. Johnson needs to take his pills
Since Mr. Johnson has 12 pill... | \boxed{YOUR_ANSWER}.
## Step 1: First, we need to find out how many days Mr. Johnson has used the pills for.
Since he has enough pills for 30 days and he has 12 pills left after four-fifths of the days, he has used 30 * (4/5) = 24 days.
## Step 2: Next, we need to determine the number of pills he takes per day.
We ca... | 2 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
James is trying to decide which trail is faster to hike. One trail is 20 miles and mostly downhill, so James can cover it at 5 miles per hour. The other trail is 12 miles, but it's mostly uphill... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the time it takes for the downhill trail
To find the time it takes for the downhill trail, we divide the distance by the speed. Time = Distance / Speed = 20 miles / 5 miles per hour = 4 hours.
## Step 2: Calculate the time it takes for the uphill trail
To find the time it take... | ## Step 1: Calculate James' speed on the downhill trail.
James' speed on the downhill trail is 5 miles per hour.
## Step 2: Calculate James' speed on the uphill trail.
James' speed on the uphill trail is 3 miles per hour.
## Step 3: Calculate the time it takes James to hike the downhill trail.
Time = Distance / Speed... | 1 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
On the first day of the journey, the Skipper sailed his ship halfway to the destination by traveling due east for 20 hours at a speed of 30 kilometers per hour, and then turned the ship's engine... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the distance the Skipper traveled on the first day of the journey.
Distance = Speed x Time = 30 km/h x 20 h = 600 km.
## Step 2: Calculate the distance from the beginning of the journey to where the Skipper was after the storm.
Since the Skipper was one-third of the way to his... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the distance the Skipper traveled due east
The Skipper traveled for 20 hours at a speed of 30 kilometers per hour, so the distance traveled due east is 20 * 30 = 600 kilometers.
## Step 2: Calculate the distance the ship was from the destination after the wind storm
The Skippe... | 200 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Jaden had 14 toy cars. Then he bought 28 cars from the toy store and got 12 cars for his birthday. Jaden gave 8 of the toy cars to his sister and 3 to his friend Vinnie. How many toy cars does J... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total number of cars Jaden received from the toy store and his birthday.
Jaden received 28 cars from the toy store and 12 cars for his birthday, for a total of 28 + 12 = 40 cars.
## Step 2: Calculate the total number of cars Jaden gave away to his sister and friend Vinnie.... | \boxed{YOUR_ANSWER}
## Step 1: Calculate the total number of toy cars Jaden received from the toy store and his birthday.
Jaden bought 28 cars and got 12 cars for his birthday, so the total number of cars he received is 28 + 12 = 40.
## Step 2: Calculate the total number of toy cars Jaden has after giving some to his... | 43 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Dylan's mother is throwing a baby shower for her best friend. She is expecting 40 guests, of whom she has cleared the parking lot to park in to, leaving only her car and her husband's jeep in th... | ## Step 1: Calculate the number of car wheels from the guests' cars
There are 10 cars that the guests parked in the parking lot, and each car has 4 wheels. So the number of car wheels from the guests' cars is 10 * 4 = 40.
## Step 2: Add the car wheels from Dylan's parent's car
Dylan's mother and father's car has 2 car... | \boxed{YOUR_ANSWER}.
## Step 1: Calculate the total number of cars parked in the parking lot
There are 10 cars parked in the parking lot and 2 cars (Dylan's and his parents') that are not parked, leaving 10 - 2 = 8 cars.
## Step 2: Calculate the total number of wheels on the 8 cars
Each car has 4 wheels, so the tota... | 48 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Alexander was 50 inches on his 8th birthday. If he grows 1/2 a foot a year, how many inches tall will he be on his 12th birthday?
| ## Step 1: Convert 1/2 foot to inches
1 foot = 12 inches, so 1/2 foot = (1/2) * 12 = 6 inches.
## Step 2: Calculate the number of inches Alexander will grow in 4 years
Since Alexander grows 1/2 foot (6 inches) a year, in 4 years he will grow 4 * 6 = 24 inches.
## Step 3: Calculate Alexander's height on his 12th birth... | \boxed{YOUR_ANSWER}
## Step 1: Convert 1 foot to inches
There are 12 inches in a foot, so 1 foot is equal to 12 inches.
## Step 2: Calculate the total inches Alexander grew from the age of 8 to 12
From the age of 8 to 12, he grew 4 years. Since he grew 1/2 a foot a year, he grew 4 x 1/2 = 2 inches.
## Step 3: Calcul... | 74 |
End of preview. Expand in Data Studio
No dataset card yet
- Downloads last month
- 7