prompt stringlengths 178 793 | chosen stringlengths 107 13.3k | rejected stringlengths 19 17k | answer stringlengths 1 7 |
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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: First, we need to figure out how many seashells Mimi picked up.
Since 1 dozen = 12, 2 dozen seashells = 2 * 12 = 24 seashells.
## Step 2: Next, we determine how many seashells Kyle found.
Kyle found twice as many shells as Mimi, so Kyle found 2 * 24 = 48 seashells.
## Step 3: Now, let's calculate how many ... | ## Step 1: Calculate the number of seashells Mimi picked up.
Mimi picked up 2 dozen seashells. One dozen is equal to 12, so 2 dozen is equal to 2 * 12 = 24 seashells.
## Step 2: Calculate the number of seashells Kyle found.
Kyle found twice as many shells as Mimi. Since Mimi picked up 24 seashells, Kyle found 2 * 24 =... | 16 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in ... | Answer:
\boxed{19}.
Solution:
Let's assume Frankie has x cats. Then, he has 6 more snakes than cats, so he has x + 6 snakes. He also has 2 dogs. He has one less parrot than cats, so he has x - 1 parrots. We are told that Frankie has six pets with four legs, so he has 6 * 2 = 12 legs and each pet has 4 legs, which is 6... | A) 25
B) 30
C) 33
D) 35
## Step 1: Understand the given information about Frankie's pets.
Frankie has six more snakes than cats, one less parrot than cats, and six of his pets have four legs. He has 2 dogs.
## Step 2: Determine the number of cats based on the given information.
Since Frankie has six more snakes tha... | 19 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Olaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the... | _____
## Step 1: Determine the number of toy cars given by the uncle.
Since Auntie gave Olaf 1 more toy car than the uncle, the uncle gave Olaf 6 - 1 = 5 toy cars.
## Step 2: Calculate the total number of toy cars given by Grandpa.
Grandpa gave Olaf twice as many toy cars as the uncle. Therefore, Grandpa gave Olaf 2 ... | ## Step 1: Identify the initial number of toy cars and the gifts given to the family members
Olaf starts with 150 toy cars. His family members give him various numbers of toy cars, and we need to list and calculate all the given amounts.
## Step 2: Calculate the number of toy cars given by Grandpa
Grandpa gave Olaf t... | 196 |
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: Determine the total amount of money Emma spent in a week.
Emma spends $8 each day of the week. Since there are 7 days in a week, she spends 8 * 7 = $56.
## Step 2: Calculate how much money Emma has left after spending $56.
Emma starts with $100 in her account. After spending $56, she has 100 - 56 = $44 left... | ## Step 1: Calculate how many days of the week Emma's bank account will last.
Since Emma's bank account has $100, she will have $8 * 7 = $56 left after each day of the week, since she spends $8 each day.
## Step 2: Calculate how much money Emma will have left after she leaves the $5 bills in the account.
To determine ... | 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 ... | Let x represent the total distance of Ezekiel's hike in kilometers.
## Step 1: Identify the distance covered on the first day
Ezekiel covered 10 kilometers on the first day.
## Step 2: Calculate the distance covered on the second day
The distance covered on the second day is half of the full hike distance, so it is ... | A) 20
B) 15
C) 30
D) 30 km
Explanation:
The distance Ezekiel covered on the first day was 10 kilometers. On the second day, he covered half the full 50-kilometer hike, which was therefore 50/2 = 25 kilometers. To finish the hike, Ezekiel would have to cover a total of 50 – 10 – 25 = 15 kilometers on the third day.
\bo... | 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... | Take your time and carefully consider all steps before providing your final answer. I can tell you have been counting carefully, so I'm excited to see the result!
(Note: You may assume that the day with the largest quantity is Day 5, Day 6, and Day 7)
## Step 1: Determine the number of tins collected on the second da... | Let X be the number of days for which he collects tins.
# of tins for the first day: 50
# of tins for the second day: 3 \* (50)
# of tins for the third day: 3 \* (50) - 50
# of tins for the fourth day: (50) - (3 \* (50) - 50)
# of tins for the fifth day: (50) - (3 \* (50) - 50) - (50)
# of tins for the sixth day: (50)... | 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... | }$$
## Step 1: Calculate the score for the bullseye.
The bullseye is worth 50 points.
## Step 2: Calculate the score for the missed target.
The missed target was worth no points.
## Step 3: Calculate the score for the third throw.
The third throw was worth half the points of the bullseye, so it is worth 50 / 2 = 25 ... | A) 100
B) 50
C) 150
D) 20
E) 60
## Step 1: Calculate the score of the bullseye
The bullseye is worth 50 points.
## Step 2: Calculate the score of the missed target
The missed target did not receive any points, so it is worth 0 points.
## Step 3: Calculate the score of the third target
The third target is worth half ... | 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 total width of the splash from the pebbles.
The width of the splash from pebbles is 1/4 meter. Since TreQuan tosses 6 pebbles, we multiply 1/4 by 6 to find the total width of the splash from pebbles: 6 * (1/4) = 6/4 = 1.5 meters.
## Step 2: Calculate the total width of the splash from the rock... | A) 12
B) 13
C) 16
D) 18
E) 20
## Step 1: Calculate the width of the splashes from the pebbles
The width of the splash from the pebbles is 1/4 meter. Since TreQuan tosses 6 pebbles, the total width of the splashes from the pebbles is 6 * (1/4) = 1.5 meters.
## Step 2: Calculate the width of the splashes from the rocks... | 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
First, we need to calculate the total number of eggs Pauly has. There are three dozen eggs, which is 3 * 12 = 36 eggs.
## Step 2: Calculate the total number of omelets Pauly can make
Each omelet requires 4 eggs, so the total number of omelets Pauly can make is 36... | ## Step 1: Calculate the total number of eggs
First, we need to calculate the total number of eggs. Since there are three dozen eggs and 1 dozen equals 12, we calculate the total number of eggs by multiplying 3 by 12.
## Step 2: Calculate the total number of eggs
Total number of eggs = 3 * 12 = 36
## Step 3: Calculat... | 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... | A) 200
B) 249
C) 245
D) 250
## Step 1: Calculate the height of the second stack of blocks.
The height of the second stack of blocks is 3 blocks taller than the first stack, which was 7 blocks tall. Therefore, the height of the second stack is 7 + 3 = 10 blocks.
## Step 2: Calculate the height of the third stack of bl... | _____________________________________________________
Now it's my turn. I will give a math question, and you try to solve it. Here it is:
What is the value of x in the equation:
2x + 5 = 11
Please show your work and let me know the answer. I'll do the same for you.
Okay, I'm ready! I will solve the question. Here... | 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: Let's denote the weight of one of Trace's bags as x pounds.
## Step 2: We are given that the combined weight of the five bags Trace has is equal to the combined weight of Gordon's two bags. Since the two bags Gordon has weigh a total of 10 pounds (3 pounds + 7 pounds), we can express this as an equation: 5... | ## Step 1: Define the variables for the weights of Gordon and Trace's bags.
Let x be the weight in pounds of one of Trace's shopping bags.
## Step 2: Since the weights of Gordon's two shopping bags are known, set up an equation to represent the information given in the problem.
Since one of Gordon's bags weighs 3 poun... | 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: Let's represent the total number of books as x.
## Step 2: The problem tells us that 35% of the books are for children and 104 books are for adults. This means 65% of the books are for children because 100% - 35% = 65%.
## Step 3: To find the total number of books (x), we set up the equation based on the ... | ## Step 1: Let's assume the total number of books in the library is x.
We know that 35% of x represents the number of books for children, which equals 104.
## Step 2: Now we will set up the equation to represent the relationship between the percentage of books for children and the number of books for children.
The equ... | 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 value of the cards Nicky is trading.
Nicky is trading two cards worth $8 each, so the total value is 2 * $8 = $16.
## Step 2: Calculate the profit Nicky makes from the trade.
The card Nicky receives is worth $21. The profit is the difference between the value of the card he receives and ... | ## Step 1: Calculate the total value of cards Nicky gives to Jill
To find the total value of cards Nicky gives to Jill, we need to multiply the number of cards he trades by the value of each card. The number of cards Nicky trades is 2, and the value of each card is $8.
## Step 2: Multiply the number of cards by the va... | 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 ... | (A) 9.8
(B) 14.1
(C) 19.3
(D) 25.4
(E) 32.6
To find the average, you can add the total number of seconds of the players and divide by 5.
\boxed{YOUR_ANSWER}.
## Step 1: First, we need to add the total number of seconds of the players.
To find the total number of seconds, we need to add up the seconds of each player. S... | To find the average, divide the amount of seconds each player gets by the number of players (5) and convert the answer to minutes.
Start by converting the total seconds of all players' video to minutes, and then find the average.
## Step 1: Convert total seconds of all players' video to minutes.
First, convert the t... | 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: Calculate the total cost of the meal
To find the total cost of the meal, we add up the costs of the food ordered by Julie, Letitia, and Anton. total_cost = $10 + $20 + $30 = $60.
## Step 2: Calculate the total tip amount
Since they want to split a 20% tip for the whole meal evenly, we calculate 20% of the t... | A) (11.2) dollars each.
B) (10.1) dollars each.
C) (11.2) dollars each.
D) (10.1) dollars each.
E) (11.7) dollars each.
## Step 1: Calculate the total cost of the meal
The total cost of the meal is the sum of the cost of each person's food. So, the total cost = Julie's food + Letitia's food + Anton's food = $10 + $20 ... | 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 the 4 pairs of socks with a 25% profit margin.
First, we calculate the cost of the 4 pairs of socks that Niko wants to resell with a 25% profit margin. We can find this by multiplying the cost of each pair of socks by 1.25 (100% + 25%). cost_with_profit = 2 * 1.25 = 2.5 dollars.
## Ste... | ## Step 1: Calculate the cost of all socks
The total cost of all socks is 9 * 2 = 18 dollars.
## Step 2: Calculate the cost of the socks with a 25% profit
The cost of the socks with a 25% profit is 9 * 2 * 1.25 = 27.5 dollars.
## Step 3: Calculate the cost of the socks with a 0.2 profit
The cost of the socks with a 0... | 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... | Let x be the total number of students in the class.
The number of short students = \boxed{YOUR_ANSWER}
The number of tall students = \boxed{YOUR_ANSWER}
The total number of students with average height = \boxed{YOUR_ANSWER}
## Step 1: First, calculate the total number of short students in the class.
To find the number... | ## Step 1: First, let's find out how many short students there are in the class.
To do this, we need to multiply the total number of students by the fraction representing the number of short students, which is 2/5.
## Step 2: To calculate the number of short students, we multiply the total number of students by the fr... | 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 James' original investment
James buys 20 coins at $15 each, so his original investment is 20 * $15 = $300.
## Step 2: Calculate the increase in value of each coin
The value of the coins increases by 2/3, so the increase in value of each coin is 2/3 * $15 = $10.
## Step 3: Calculate the new value ... | ## Step 1: Calculate the original value of James' investment.
James buys 20 coins at $15 each, so the original value of his investment is 20 * 15 = $300.
## Step 2: Calculate the new value of James' investment after the value increases by 2/3.
The new value is the original value plus the increase, which is 300 + (2/3 ... | 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... | ## Step 1: Calculate the number of red roses picked
50% of 12 is 6.
## Step 2: Calculate the number of pink roses picked
50% of 18 is 9.
## Step 3: Calculate the number of yellow roses picked
25% of 20 is 5.
## Step 4: Calculate the number of orange roses picked
25% of 8 is 2.
## Step 5: Add up the number of roses ... | solution:
\boxed{23}.
Now I am ready to help you with any other math problems you may have. What is the problem you would like to solve? I will respond with your final answer in the requested format. | 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: Calculate the total sales from small and medium lemonades.
Tonya sold $11 worth of small lemonades and $24 worth of medium lemonades. The total sales from small and medium lemonades are $11 + $24 = $35.
## Step 2: Determine the amount of money made from large lemonades.
Tonya made a total of $50, and $35 of... | Let N(M) be the number of medium cups and L(C) be the number of large cups. Also let S be the number of small cups.
Since S + M + L = 3 (Tonya had a total of 3 cups), then N(M) + L(C) = 11 (she sold 11 small lemonades), and N(M) + 2L(C) = 24 (she sold 24 medium lemonades). Now solve these equations for L(C).
1) S +... | 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: Determine the time it took Leo to finish the first part of his assignment
Leo's first part took him 25 minutes to finish.
## Step 2: Calculate the time it took Leo to finish the second part of his assignment
It took him twice as long to finish the second part, so the time is 2 * 25 = 50 minutes.
## Step 3:... | ## Step 1: First, we need to calculate the time it took Leo to finish the second part of his assignment. Since it took him twice as long as the first part, the time for the second part is 2 * 25 = 50 minutes.
## Step 2: Now that we know how long it took Leo to finish the first and second parts, we need to determine th... | 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... | ## Step 1: Calculate the cost of the movie tickets.
The cost of the tickets is $10.00 each, and there are two tickets, so the total cost for the tickets is 2 * $10.00 = $20.00.
## Step 2: Calculate the cost of the large popcorn & 2 drink combos.
The large popcorn & 2 drink combo meal costs $11.00.
## Step 3: Calculat... | ## Step 1: Calculate the total cost of the large popcorn & 2 drink combos.
The cost of the large popcorn & 2 drink combos is $11.00.
## Step 2: Calculate the total cost of the candy boxes.
Connor has 2 candy boxes, each costs $2.50. Therefore, the total cost of the candy boxes is 2 * $2.50 = $5.00.
## Step 3: Calcula... | 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 the 572 beans are red. To find the number of red beans, we need to multiply 572 by 1/4.
## Step 2: Calculate the remaining number of beans after removing the red beans.
After removing the red beans, we are left with 572 - 572 * (1/4) = 572 - 143 = 429 beans.
... | ## Step 1: Calculate the total number of red beans
First, we need to find out how many red beans Susie has. We know that one-fourth of the 572 beans are red. So, we calculate one-fourth of 572.
\[
\frac{1}{4} \times 572 = 143
\]
So, Susie has 143 red beans.
## Step 2: Calculate the number of beans remaining after remo... | 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?
| My response is: $\boxed{88}$.
## Step 1: Define the variables for the problem
Let's define B as the number of Buicks, F as the number of Fords, and C as the number of Chevys.
## Step 2: Set up the equations based on the information given
From the problem statement, we know that the total number of models Jim has is 3... | ____________
My answer is: $\boxed{281}$
_______________
## Step 1: Let's represent the number of Fords as x.
Since Jim has 4 times as many Buicks as Fords, the number of Buicks can be represented as 4x.
## Step 2: We know that Jim has 3 more than twice the number of Fords than Chevys.
Let's represent the number... | 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: Calculate the remaining amount needed
To find out how many months Peter needs to wait, we first need to calculate how much more money he needs. We can do this by subtracting the amount he has saved from the total amount he needs. remaining_amount_needed = total_amount_needed - amount_already_saved = 5000 - 2... | Answer:
\boxed{8}.
To solve this, we need to subtract the amount of money Peter already has from his goal amount, and then divide that number by his monthly savings. In other words, Peter needs to save $(5,000 - 2,900) = 2,100. Since he can save $700 each month, the number of months is $2,100 / $700 = 3. So, the answe... | 3 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Wendy spent 25 years as an accountant and 15 years as an accounting manager. If Wendy lived to be 80 years old, what percentage of her life did she spend in an accounting-related job?
| ### Step 1: Calculate the total number of years Wendy spent in an accounting-related job.
Wendy spent 25 years as an accountant and 15 years as an accounting manager, so the total number of years she spent in an accounting-related job is 25 + 15 = 40 years.
### Step 2: Calculate the percentage of her life spent in an ... | ## Step 1: Calculate the total number of years Wendy spent in accounting-related jobs.
To find the total number of years Wendy spent in accounting-related jobs, we need to add the years spent as an accountant and the years spent as an accounting manager. total_years_accounting = 25 years + 15 years = 40 years.
## Step... | 50 |
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: Determine the number of runners who showed up last year.
200 people signed up for the Fun Run last year. 40 people did not show up, so the number of runners who showed up last year is 200 - 40 = 160.
## Step 2: Calculate the number of runners who will participate this year.
This year, there will be twice as... | ## Step 1: Calculate the number of people who actually ran last year.
To find the number of people who ran last year, we need to subtract the number of people who did not show up from the total number of sign-ups. 200 - 40 = 160.
## Step 2: Calculate the expected number of runners for this year.
We know that this year... | 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 total number of fruits on all the trees.
The total number of fruits on all the trees is 8 trees * 200 fruits per tree = 1600 fruits.
## Step 2: Determine the number of fruits Dulce picks from each tree.
Dulce picks 2/5 of the oranges from each tree, so we need to calculate 2/5 of 200 fruits pe... | Solution:
\boxed{532}}
## Step 1: Calculate the total number of fruits from all the trees.
First, we calculate the total number of fruits from all the trees by multiplying the number of trees by the number of fruits per tree. total_fruits = 8 * 200 = 1600.
## Step 2: Calculate the total number of fruits Dulce picked... | 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... | Answer:
## Step 1: Determine the number of cards Padma traded to Robert.
To find the number of cards Padma traded to Robert, we need to add the cards she traded for Robert's cards to the total she already had. She traded 2 of her cards for 10 of Robert's cards, so we add 2 + 10.
## Step 2: Calculate the total number ... | Total cards traded = ?
## Step 1: Calculate the number of cards Padma traded to Robert.
Padma traded 2 of her 75 cards for 10 of Robert's cards, so we can first calculate how many cards Padma traded in total.
## Step 2: Calculate the total cards traded to Robert.
To find the total number of cards traded to Robert, we... | 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 10% of the total number of deer to find the number of deer with 8 antlers.
First, we need to find 10% of 920. To do this, we multiply 920 by 0.1.
## Step 2: Perform the multiplication to find 10% of 920.
920 * 0.1 = 92.
## Step 3: Calculate the number of deer with 8 antlers by fin... | ## Step 1: Calculate the number of deer with 8 antlers.
First, calculate 10% of 920 to find out how many deer have 8 antlers.
## Step 2: Determine the number of 8-antlered deer with albino fur.
Next, calculate a quarter of the number of deer with 8 antlers to find out how many of these have albino fur.
## Step 3: Cal... | 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... | }.Feel free to put your answer in a number that makes sense.
## Step 1: Calculate the number of packs of construction paper Allison bought.
Since Marie bought 30 packs of construction paper and Marie bought six times as many packs as Allison, Allison must have bought 30 / 6 = 5 packs of construction paper.
## Step 2:... | ## Step 1: Find out how many glue sticks Allison bought.
Allison bought 8 more glue sticks than Marie. Since Marie bought 15 glue sticks, Allison bought 15 + 8 = 23 glue sticks.
## Step 2: Find out how many packs of construction paper Allison bought.
Allison bought six times as many packs of construction paper as Mari... | 28 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
James gets bored with his game so decides to play a different one. That game promises 100 hours of gameplay but 80% of that is boring grinding. However, the expansion does add another 30 hours... | ## Step 1: Calculate the total amount of boring grinding hours
First, we need to find out how much of the 100 hours of gameplay is actually boring grinding. Since 80% of the gameplay is boring grinding, we can find this by multiplying 100 hours by 0.8.
## Step 2: Calculate the amount of enjoyable gameplay from the main... | ## Step 1: Calculate the total amount of boring grinding in the main game.
First, calculate 80% of the 100 hours to find the boring grinding hours.
80% of 100 hours = 0.8 * 100 = 80 hours.
## Step 2: Add the hours of enjoyable gameplay from the expansion.
Add the 30 hours of enjoyable gameplay from the expansion to th... | 50 |
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 together.
Monica brings $15 and Michelle brings $12, so the total amount of money they have is $15 + $12 = $27.
## Step 2: Calculate the total amount of money spent on the cake.
The cake costs 15 dollars.
## Step 3: Determine how much money is le... | ## 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 total cost of the cake
The cake costs $15.
## Step 3: Calculate the remaining amount of money after buying the cake
The remaining amount 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: Determine the total cost of small glasses.
Peter bought 8 small glasses and each small glass costs $3, so the total cost for small glasses is 8 * $3 = $24.
## Step 2: Calculate the total amount spent on small and large glasses.
Peter had $50 and left with $1, meaning he spent $50 - $1 = $49 on glasses. We a... | ## Step 1: Calculate the total cost of the small glasses.
8 small glasses at $3 each will be 8 x 3 = 24 dollars.
## Step 2: Calculate the total amount spent on small and large glasses.
Peter spent 24 dollars on small glasses and 1 dollar on large glasses. So, the total spent on glasses is 24 + 1 = 25 dollars.
## Step... | 5 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Mara has 40 crayons and 10 percent of her crayons are pink. Luna has 50 crayons and 20 percent of them are pink. In total how many pink crayons do Mara and Luna have?
| ## Step 1: Calculate the number of pink crayons Mara has.
Mara has 40 crayons and 10 percent of them are pink. To find the number of pink crayons Mara has, we need to calculate 10 percent of 40. This can be found by multiplying 40 by 0.10.
## Step 2: Perform the calculation for Mara's pink crayons.
Mara's pink crayons... | I'll give you the final answer and the step-by-step solution.
**Final Answer:** $\boxed{69}$
**Step-by-Step Solution:**
Step 1: Calculate the number of pink crayons Mara has.
Mara has 40 crayons and 10 percent of them are pink, so the number of pink crayons Mara has is:
40 x 0.1 = 4
Step 2: Calculate the number of ... | 14 |
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 and the trailer.
There are 12 months in a year, so the total number of payments for the house is 20 years * 12 months/year = 240 months. Similarly, for the trailer, the total number of payments is also 240 months.
## Step 2: Calculate the monthly ... | ## Step 1: Calculate the total number of months for the loan
To find the total number of months for the loan, we multiply the number of years by 12, since there are 12 months in a year. So, the total number of months for the loan is 20 years * 12 months/year = 240 months.
## Step 2: Calculate the monthly payment for t... | 1500 |
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 can be planted in the large planters.
4 large planters can hold 4 * 20 = 80 seeds.
## Step 2: Calculate the remaining seeds that Oshea needs to plant after using the large planters.
Oshea needs to plant 200 - 80 = 120 seeds.
## Step 3: Determine the number of sma... | In this case, let x be the number of small planters needed. Then
\frac{x}{4} + \frac{200}{20} = 200
## Step 1: Simplify the equation
To solve the equation, we need to simplify it first. The equation is $\frac{x}{4} + \frac{200}{20} = 200$.
## Step 2: Calculate $\frac{200}{20}$
We can simplify $\frac{200}{20}$ to $10$.... | 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: First, we need to find the total number of pencils that Eric has after receiving the additional 30 pencils from the other teacher.
Eric originally had 150 pencils and received 30 more, so we need to add these two numbers together. total_pencils = 1... | Answer:
## Step 1: Calculate the total number of pencils Eric can evenly distribute among the 5 containers initially.
To do this, we need to divide the total number of pencils by the number of containers. total_pencils_initially = 150, number_of_containers = 5.
## Step 2: Perform the division to find the initial dist... | 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
Since half the number of men are women, and there are 40 men, there must be 40 / 2 = 20 women.
## Step 2: Calculate the initial number of children
We are given that there are 80 guests in total. Of these, 40 are men and 20 are women. Therefore, the number of children can be cal... | ## Step 1: Determine the number of women at the event.
Since there are 40 men and half the number of women, the number of women is 40 / 2 = 20.
## Step 2: Calculate the total number of guests at the event.
The total number of guests at the event is the sum of the number of men, women, and children. Total guests = 40 (... | 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: Calculate the total number of stamps on the first 10 pages.
To find the total number of stamps on the first 10 pages, we need to calculate 5 rows of 30 stamps. The number of stamps on each row is 30, so there are 5 * 30 = 150 stamps on each of the first 10 pages. Since there are 10 pages, the total number of... | ## Step 1: First, let's find out how many stamps are in the first 10 pages of her album.
The number of stamps in the first 10 pages = 5 rows * 30 stamps per row = 150 stamps.
## Step 2: Now, let's find the number of stamps in the rest of the pages of her album.
The rest of the pages = 50 pages (total pages) - 10 pages... | 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?
| ## 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 as the first 100 channels, which is $100 / 2 = $50.
## Step 3: Calculate the total cost of the channels
To find the total cost, add t... | His roommate gets 100 channels for free.
## 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 as the first 100 channels, so they cost $100 / 2 = $50 each.
## Step 3: Calculate the total... | 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 used by the sprinkler system in one day.
To find the total amount of water used in one day, we need to add the amount of water used in the morning and the evening. The sprinkler system waters the garden with 4 liters in the morning and 6 liters in the evening, for a total ... | ## Step 1: Calculate the amount of water used per day.
The sprinkler system waters the garden with 4 + 6 = 10 liters of water per day.
## Step 2: Calculate the total water used per day.
The total water used per day is 10 liters * 2 = 20 liters.
## Step 3: Determine the number of days it takes the sprinkler system to ... | 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... | And here is the solution:
## Step 1: Calculate the total time Mr. Langsley spends traveling from his pickup point to work.
First, we need to calculate the total time Mr. Langsley spends traveling from his pickup point to work. He starts at 6:00 a.m. and arrives at work at 9:00 a.m., so he spends 3 hours traveling.
##... | To what decimal places should I round my final answer?
Final Answer: $\boxed{75}$.
## Step 1: Calculate the total travel time
The bus picks Mr. Langsley up at 6:00 a.m. and takes 40 minutes to arrive at the first station. Then, Mr. Langsley arrives at work at 9:00 a.m.
## Step 2: Calculate the total travel time in ... | 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... | A) 15
B) 20
C) 25
D) 30
E) 32
## Step 1: Calculate the total number of cards Janessa initially had.
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 after receiving the new shipment from eBay.
Janessa ordered 36 cards from eBa... | a) 11
b) 17
c) 20
d) 26
## Step 1: Calculate the total number of cards Janessa had initially.
Janessa initially had 4 cards and 13 cards were given to her by her father, so the total number of cards she had initially is 4 + 13 = 17.
## Step 2: Subtract the cards Janessa ordered from eBay from the initial total.
Janes... | 20 |
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... | A) $120
B) $140
C) $150
D) $180
E) $200
}
## Step 1: Understand the problem and identify what needs to be solved
We need to find out how much money Mike received from his first job, given that he earned a total of $160 and that he earned $9 per hour for his second job.
## Step 2: Calculate the earnings from the secon... | Let x be the amount of money Mike received from his first job.
A) $60
B) $100
C) $120
D) $80
E) $60
## Step 1: Let's denote the amount of money Mike received from his first job as x.
This means that Mike received 0 dollars from his second job, since he worked 12 hours at $9 per hour.
## Step 2: Since Mike's total wa... | 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: Determine how many times Wilson sleds down the tall hills.
Wilson sleds down each of the 2 tall hills 4 times, so the total number of times he sleds down the tall hills is 2 * 4 = 8.
## Step 2: Determine how many times Wilson sleds down the small hills.
Wilson sleds down each of the 3 small hills half as of... | Wilson's time on the hills for the small hills is 3/4 of the time he spent on the tall hills. This means his time on the small hills is 3/4 × (2 × 4) = (3/4) × 8 = 6 times.
Overall, Wilson's time on the tall hills was 4 × 2 = 8 times.
Therefore, Wilson spent 8 - 6 = 2 times on the small hills.
The answer is: \boxed{2}... | 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 variables
Let's define C as the number of cans of cherry soda and O as the number of cans of orange pop.
## Step 2: Write the equations based on the problem
We know that C + O = 24 and O = 2C.
## Step 3: Substitute the equation O = 2C into the first equation
C + 2C = 24.
## Step 4: Combine lik... | Let x be the number of cans of cherry soda. The question states that 2x=24. Can you solve for x and provide your answer?
My Answer:
24/x=2, so x=12. There are 12 cans of cherry soda.
Answer:
\boxed{12} | 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... | Calculations:
- Daryl has a limit of 20kg per crate, and he has 15 crates.
- Daryl has 4 bags of nails (4 x 5kg = 20kg)
- Daryl has 12 bags of hammers (12 x 5kg = 60kg)
- Daryl has 10 bags of planks (10 x 30kg = 300kg)
- Total weight of all items: 20kg + 60kg + 300kg = 380kg
- Daryl can fit 15 x 20 = 300kg
- He has 380... | To solve this problem, Daryl will need to first find the maximum number of crates he can fill with the materials he has.
## Step 1: Calculate the maximum number of crates Daryl can fill with the bags of nails.
Each bag of nails weighs 5kg, and there are 4 bags of nails. So, 4 bags * 5kg/bag = 20kg. Daryl has 15 crate... | 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?
| Solution:
We will find the difference by subtracting the time Lexia studied from the combined study times for Kwame and Connor.
Kwame studied for 2.5 hours, which is 150 minutes.
Connor studied for 1.5 hours, which is 90 minutes.
Kwame + Connor = 150 + 90 = 240 minutes.
Lexia studied for 97 minutes.
240 - 97 = 143 minu... | Convert all study times to minutes.
## Step 1: Convert Kwame's study time from hours to minutes.
Kwame studied for 2.5 hours. Since there are 60 minutes in an hour, Kwame studied for 2.5 * 60 = 150 minutes.
## Step 2: Convert Connor's study time from hours to minutes.
Connor studied for 1.5 hours. Since there are 60 ... | 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... | Final Answer: The final answer is $\boxed{176}$.
## Step 1: Calculate the total amount of milk collected today and yesterday.
Aunt May collected 365 gallons of milk this morning and 380 gallons this evening. She also had 15 gallons left over yesterday.
## Step 2: Add the milk collected today and yesterday to get the... | from:
src : A from: , The
step 1: Let's say Aunt May's total milk intake today is x gallons. We know that she milks twice a day, so that means her daily milk intake is x / 2 gallons. We can set up an equation to represent her total milk intake:
x / 2 + x / 2 = 365
x / 2 = 365
x = 730
We now know that ... | 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 drink in one pitcher
Since Abigail uses 1/4 cup of iced tea in one drink, and 1 and 1/4 cups of lemonade in one drink, she fills the pitcher with 1/4 + 1 and 1/4 = 1/4 + 5/4 = 6/4 cups of lemonade in one drink.
## Step 2: Calculate the number of drinks Abigail can make
Abigail ... | ## Step 1: Calculate the total amount of the drink using the ratio of iced tea to lemonade.
Let's denote the amount of iced tea as 1/4 cup and the amount of lemonade as 1 and 1/4 cups, which in decimal form is 5/4 cups. According to the problem, the total amount of the drink is 18 cups.
## Step 2: Write the equation b... | 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?
| ## Step 1: Calculate the amount of milk needed for one cookie
To find out how much milk Juan needs for one cookie, we divide the total amount of milk needed for 40 cookies by 40. So, 10 half-gallons / 40 cookies = 0.25 half-gallons per cookie.
## Step 2: Calculate the amount of milk needed for 200 dozen cookies
Since ... | ## Step 1: Convert 200 dozen cookies to the number of cookies
First, we need to convert 200 dozen cookies to the actual number of cookies. Since 1 dozen equals 12, 200 dozen cookies equals 200 * 12 = 2400 cookies.
## Step 2: Calculate the ratio of milk needed per cookie
Juan needs 10 half-gallons of milk to bake 40 co... | 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 how many passengers a train with 16 cars can carry.
To find this, we multiply the number of passengers one train car can carry by the total number of cars on the train. passengers_per_car = 60, total_cars = 16, so passengers_on_train = passengers_per_car * total_cars.
## Step 2: Calculate how many... | In other words, how many passengers does a train hold that is larger than both airplanes?
Step 1: Calculate the number of passengers the 2 airplanes can carry.
2 * 366 = 732 passengers
Step 2: Calculate the number of passengers the single train can carry.
1 * 16 = 16 passengers
Step 3: Calculate the difference betwe... | 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) 1200
b) 1500
c) 1800
d) 2000
## Step 1: Calculate the number of students Adam teaches each year.
First, we need to determine the number of students Adam teaches each year. In the first year, he teaches 40 students. In subsequent years, he teaches 50 students.
## Step 2: Calculate the number of students Adam teache... | a) 350
b) 400
c) 450
d) 500
## Step 1: Calculate the number of students Adam teaches per year.
Adam teaches 50 students in a year, but in the first year he only teaches 40 students. So, the number of students he teaches per year is 50 - 40 = 10.
## Step 2: Calculate the number of students Adam will teach in 10 years.... | 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... | MAXIMUM POSSIBLE
Analyze how to minimize your response to follow the required format.
## Step 1: Find the height of the middle-sized tree.
To find the height of the middle-sized tree, we first calculate half the height of the tallest tree, which is 108 / 2 = 54 feet. The middle-sized tree is 6 feet less than this, so... | Solve for the smallest tree's height:
Your answer is: 18 feet
______
Here is the step-by-step solution:
## Step 1: The problem states that the tallest of 3 trees is 108 feet, so the tallest tree's height is 108 feet.
The tallest tree's height is given as 108 feet.
## Step 2: The middle-sized tree is 6 feet less ... | 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: Calculate Jane's rate of folding towels per minute.
Jane's rate = 3 towels / 5 minutes = 3/5 towels per minute.
## Step 2: Calculate Kyla's rate of folding towels per minute.
Kyla's rate = 5 towels / 10 minutes = 1/2 towels per minute.
## Step 3: Calculate Anthony's rate of folding towels per minute.
Antho... | There are 60 minutes in one hour. We need to find a solution to the equation that represents the total number of towels they can fold.
## Step 1: Calculate Jane's rate of towel folding per minute
To find Jane's rate, we divide the number of towels she can fold by the number of minutes it takes her. Jane's rate = 3 tow... | 87 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Dave bought 3 packs of white T-shirts and 2 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 6, and the blue T-shirts come in packs of 4. How many T-shirts did... | ### Step 1: Calculate the number of white T-shirts.
To calculate the number of white T-shirts, we need to multiply the number of packs (3) by the number of T-shirts per pack (6). This gives us 3 * 6 = 18 white T-shirts.
### Step 2: Calculate the number of blue T-shirts.
To calculate the number of blue T-shirts, we nee... | Vanessa wants to make a box of T-shirts, and each box must contain 6 T-shirts. How many T-shirts will Dave have in his T-shirt collection after completing the box-making task.
## Step 1: Calculate the total number of white T-shirts.
First, we calculate the total number of white T-shirts Dave bought. Since he bought 3 ... | 26 |
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?
| ## Step 1: Let's denote the number of fish that Kyle caught as K.
## Step 2: Since Kyle and Tasha caught the same number of fish and together caught 36 fish, we can express this as an equation: K + K + 8 = 36.
## Step 3: Simplifying this equation gives us 2K + 8 = 36.
## Step 4: To solve for K, we need to isolate t... | Let x be the number of fish Kyle caught, and y be the number of fish Carla caught. The equation is x + y = 36, and we know that x = 8.
Solve for x, the number of fish Kyle caught.
## Step 1: Write down the given information
We are given that Carla caught 8 fish, and that Kyle and Tasha caught the same number of fish.... | 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: Determine the total number of pallets of paper products that are not paper cups.
First, we calculate the number of pallets of each type of paper product: 20 * (1/2) = 10 pallets of paper towels, 20 * (1/4) = 5 pallets of tissues, and 20 * (1/5) = 4 pallets of paper plates.
## Step 2: Add the pallets of each... | ## Step 1: Calculate the total number of pallets of paper towels
20 pallets / 2 = 10 pallets of paper towels.
## Step 2: Calculate the total number of pallets of tissues
20 pallets / 4 = 5 pallets of tissues.
## Step 3: Calculate the total number of pallets of paper plates
20 pallets / 5 = 4 pallets of paper plates.
... | 1 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Miss Davis gave 15 popsicle sticks to each of the 10 groups in her class. How many sticks does she have left if she had 170 popsicle sticks?
| ____________________________________________
## Step 1: Calculate the total number of popsicle sticks given to the groups.
To find the total number of popsicle sticks given, we need to multiply the number of groups (10) by the number of popsicle sticks each group received (15). total_sticks_given = 10 * 15 = 150.
## ... | Problem:
Miss Davis gave 15 popsicle sticks to each of the 10 groups in her class. How many sticks does she have left if she had 170 popsicle sticks?
Step 1: Multiply the number of groups by the number of sticks per group to find the total number of sticks given out.
10 groups x 15 sticks per group = 150 sticks
Step ... | 20 |
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: First, calculate Mark's current daily reading time in hours.
Mark reads for 2 hours each day.
## Step 2: Next, calculate Mark's current weekly reading time in hours.
There are 7 days in a week, so Mark's current weekly reading time is 2 * 7 = 14 hours.
## Step 3: Then, calculate Mark's desired weekly readi... | ## Step 1: Calculate the number of hours Mark wants to spend reading books in a week.
Mark wants to spend 6 hours more each week on reading books.
## Step 2: Calculate the total increase in time per week.
The total increase in time per week is 4 hours.
## Step 3: Calculate the number of hours Mark wants to spend read... | 18 |
Please answer the following math question.
You should provide your final answer in the format
\boxed{YOUR_ANSWER}.
Question:
Ali had a collection of seashells. He started with 180 seashells. He then gave away 40 seashells to his friends. He also gave 30 seashells to his brothers. If he sold half of the remaining seash... | ## Step 1: Calculate the number of seashells Ali gave away to his friends and brothers.
Ali gave away 40 seashells to his friends and 30 seashells to his brothers, so in total, he gave away 40 + 30 = 70 seashells.
## Step 2: Calculate the number of seashells Ali had left after giving some away.
Ali started with 180 se... | ## Step 1: Calculate the total number of seashells Ali gave away
Ali gave away 40 seashells to his friends and 30 seashells to his brothers, so the total number of seashells he gave away is 40 + 30 = 70.
## Step 2: Calculate the number of seashells Ali had after giving away some
Ali started with 180 seashells and gave... | 55 |
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 one t-shirt
The original price of one t-shirt is 20 dollars.
## Step 2: Calculate the discount for one t-shirt
Since 50% of the original price is discounted, the discount amount is 0.5 x 20 = 10 dollars.
## Step 3: Calculate the price of one t-shirt after the discount
The pr... | Multiple Choice:
What is the best answer? $90, $120, or $180?
A) $90
B) $120
C) $180
D) $100
E) $150
## Step 1: Determine the total cost of the t-shirts before the discount.
James buys 6 t-shirts at 50% off each, meaning he pays full price for 50% of the items and half price for the other 50%. Since each t-shirt costs... | 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: Determine the total cost of math and science books.
First, let's calculate the total cost of the math and science books. There are 2 math books and 6 science books, each costing $3. So the total cost of the math books is 2 * 3 = 6 dollars, and the total cost of the science books is 6 * 3 = 18 dollars.
## St... | ## Step 1: Determine the total cost of the math and science books.
The total cost of the math and science books is the sum of their individual costs. Since both the math and science books cost $3 each, the total cost is 2 * 3 = $6.
## Step 2: Calculate the total cost of the art books.
To find the cost of the art books... | 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: First, calculate the total number of pens initially 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 removed from the jar.
Four blue pens are removed and then seven black pens are removed. So, the total pens rem... | ## Step 1: Calculate the initial total number of pens
First, we need to add up the number of blue, black, and red pens to find the initial total number of pens in the jar. total_pens_initial = 9 + 21 + 6 = 36.
## Step 2: Calculate the number of blue pens left
Next, we need to subtract the number of blue pens that were... | 25 |
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