prompt stringlengths 197 793 | chosen stringlengths 123 13.2k | rejected stringlengths 18 16.9k | 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, let's figure out how many seashells Mimi picked up.
Since Mimi picked up 2 dozen seashells, and 1 dozen equals 12 seashells, Mimi picked up 2 * 12 = 24 seashells.
## Step 2: Now, let's calculate how many seashells Kyle found.
Kyle found twice as many shells as Mimi. Since Mimi picked up 24 seashells,... | ## Step 1: Determine the number of seashells Mimi picked up.
Mimi picked up 2 dozen seashells. Since 1 dozen equals 12, Mimi picked up 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 = 48 seas... | 16 |
Please answer the following math question.
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\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 ... | ## Step 1: Identify the information given about the number of pets Frankie has.
Frankie has six more snakes than cats, one less parrot than cats, six of his pets have four legs, and he has 2 dogs.
## Step 2: Determine the number of cats Frankie has based on the number of pets with four legs.
Since six of the pets have... | Question:
## Step 1: Identify the number of pets that have four legs
Six of Frankie's pets have four legs.
## Step 2: Calculate the number of cats
Since Frankie has 2 dogs and 6 pets with four legs, the remaining pets with four legs are cats. We know that Frankie has six more snakes than cats and one less parrot than... | 19 |
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 the total amount spent during the week
Emma spends $8 each day for 7 days in the week. The total amount spent is 8 * 7 = 56 dollars.
## Step 2: Calculate the remaining balance after the week
Emma starts with $100 and spends $56 during the week. The remaining balance is 100 - 56 = 44 dollars.
## S... | ## Step 1: Calculate the total amount Emma spent in a week
Emma's bank account had $100 initially. She spent $8 each day for a week, which has 7 days. So, the total amount she spent in a week is 8 * 7 = $56.
## Step 2: Determine how many $5 bills Emma can get
After the week, Emma's bank account will have 100 - 56 = $4... | 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 ... | ___________________
My attempt:
1. He covered 10 kilometers of steep mountainside.
2. He covered half of the full hike distance (50 km) on the second day, which is 25 kilometers.
3. To find the remaining distance to be hiked on the third day, subtract the distances covered on the first two days from the full ... | A) 10
B) 20
C) 20km
D) 30km
E) 40 km
Corrected Answer: This question requires the test-taker to see a pattern in the distance covered on each day.
\[ \begin{array}{l} \text{Day 1: } 10 \text{ km} \\ \text{Day 2: } 50 \text{ km} = 10 \times 5 \\ \text{Day 3: } \text{X km} = 50 \times \frac{1}{2} \\ \text{X km} = 25 \\ ... | 15 |
Please answer the following math question.
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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: Determine the number of tins James collected on the second day.
On the second day, James collected 3 times the number of tins he collected on the first day. Since the first day he collected 50 tins, the second day he collected 3 * 50 = 150 tins.
## Step 2: Calculate the number of tins James collected on the... | ## Step 1: Calculate the number of tins collected on the first day
James collects 50 tins on the first day.
## Step 2: Calculate the number of tins collected on the second day
James collects 3 times the number of tins he collected on the first day, so 3 * 50 = 150 tins.
## Step 3: Calculate the number of tins collect... | 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 points for the bullseye
The bullseye is worth 50 points.
## Step 2: Calculate the points for the second dart
Since the second dart completely missed the target, it received no points.
## Step 3: Calculate the points for the third dart
The third dart was worth half the points of the bullsey... | ADD THESE SCORES TOGETHER.
Don throws 3 darts and receives:
1) 50 points for a bullseye
2) No points for a miss
3) 25 points for a miss (half the points of the bullseye)
Final score = 50 + 0 + 25 = _______
Your turn! Take the final score and add it to the total. 6 points. Now you have a multiple of 50. _______
Pleas... | 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... | }.Test your problem-solving skills with a more challenging question.
## Step 1: Calculate the total splash width from pebbles
To calculate the total width of the splashes made by the pebbles, we need to multiply the number of pebbles by the width of each splash. There are 6 pebbles, and each one makes a splash that is... | ## Step 1: Calculate the width of the splashes made by the pebbles.
TreQuan throws 6 pebbles. Since each pebble makes a splash that is 1/4 meter wide, the total width of the splashes made by the pebbles is 6 * 1/4 = 1.5 meters.
## Step 2: Calculate the width of the splashes made by the rocks.
TreQuan throws 3 rocks. S... | 7 |
Please answer the following math question.
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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.
There are three dozen eggs, and since one dozen is equal to 12, three dozen eggs is 3 * 12 = 36 eggs.
## Step 2: Calculate the total number of omelets.
Each omelet requires 4 eggs, so the total number of omelets is 36 / 4 = 9 omelets.
## Step 3: Calculate the number of o... | ## Step 1: Determine the total number of eggs
Pauly starts with three dozen eggs, and since a dozen equals 12, three dozen equals 36 eggs.
## Step 2: Calculate the total number of omelets needed
Since each omelet requires 4 eggs, we need to divide the total number of eggs by 4 to find out how many omelets Pauly will m... | 3 |
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: Define variables and establish relationships between bags
Let's denote the weight of one of Trace's shopping bags as \(x\) pounds. We know that three pounds and seven pounds are the weights of Gordon's shopping bags. Given that the five bags weighed the same, we can set up a relationship using the weights of... | ## Step 1: Let's denote the weight of one of Trace's shopping bags as "x" pounds.
## Step 2: Since Trace's five shopping bags weigh the same as Gordon's two shopping bags, we can set up the equation 5x = 2 * 3 + 2 * 7.
## Step 3: Simplify the equation: 5x = 6 + 14, 5x = 20.
## Step 4: Solve for x: x = 20 / 5.
The ... | 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: To find the total number of books in the library, we first need to identify what we are solving for.
## Step 2: We are looking for the total number of books in the library.
## Step 3: The problem mentions that 35% of the books are for children and 104 are for adults.
## Step 4: If we let x be the total n... | Let x be the number of books in the library. The solution to this problem can be expressed using a proportion.
## Step 1: Write an equation representing the proportion of books intended for children and adults.
The equation is: 35% of x = 104.
## Step 2: Convert the percentage to a decimal and rewrite the equation.
T... | 160 |
Please answer the following math question.
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\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: First, let's calculate the total value of the two cards Nicky is trading away.
2 cards * $8 per card = $16.
## Step 2: Then, let's calculate the value of the one card Nicky is receiving.
$21.
## Step 3: Now, let's calculate the profit by subtracting the value of the cards Nicky is giving up from the va... | 2. Tim has a class project where he has to calculate the total cost of materials for 20 different types of pens. If the total cost is $120, how much will Tim save by buying the pens at a 30% discount on bulk purchases?
3. A bookshelf is divided into 12 equal-sized shelves. If the total weight of the books on the shelve... | 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 ... | To do this problem, multiply the time each player has recorded in seconds by 1 minute, and then divide by the total number of players.
\boxed{YOUR_ANSWER}.
## Step 1: Calculate the total seconds of all players.
First, we need to add up the seconds of all the players to find the total seconds. Total seconds = 130 + 145... | Answer:
To solve this problem, first convert 130 and 180 seconds to minutes, and then find a common average (e.g., 180/3=60) for the average times. Then divide by 5, which is the number of players.
$\frac{180}{3}=60$
$\frac{130+145+85+60+180}{5}=\frac{600}{5}=120$
The center player gets the highest average time, which ... | 2 |
Please answer the following math question.
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\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, calculate the total cost of the meal.
Total cost = Julie's order + Letitia's order + Anton's order
Total cost = $10 + $20 + $30
Total cost = $60
## Step 2: Next, calculate the 20% tip for the total meal cost.
Tip = 20% of $60
Tip = 0.20 * $60
Tip = $12
... | A) $\boxed{25}$
B) A) $\boxed{25}$
C) D) $\boxed{30}$
D) E) $\boxed{45}$
E) F) $\boxed{65}$
Answer:
Let's solve it step-by-step.
Step 1: The total bill for the dinner is $10 + $20 + $30 = $60.
Step 2: The total tip for the dinner is $60 × 20% = $60 × 0.2 = $12.
Step 3: The total amount the three of them should pay is ... | 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 total cost of the 4 socks with 25% profit.
To find the profit from the first 4 socks, we need to calculate 25% of the cost of those socks. 25% of $2 is 0.25 * 2 = $0.5. So, the profit from these 4 socks is $0.5.
## Step 2: Calculate the cost of the other 5 socks with $0.2 profit each.
For the ... | ## Step 1: Calculate the total cost of the socks
First, we need to calculate the total cost of the socks. Niko bought 9 pairs of socks at $2 each. So, the total cost of the socks is 9 * 2 = $18.
## Step 2: Calculate the profit from the 4 pairs of socks with a 25% profit
For 4 pairs of socks, Niko wants to gain a 25% p... | 3 |
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 amount James paid for the coins before the value increases.
James buys 20 coins at $15 each, so the total amount he paid is 20 * 15 = $300.
## Step 2: Calculate the new value of each coin after the increase.
The value of each coin increases by 2/3 of its original value. 2/3 of $15 is 1... | ## Step 1: First, calculate the original value of James' investment in cryptocurrency.
James' original investment is $15 * 20 = $300.
## Step 2: Next, calculate the increase in the value of the coins after 2/3 of the increase.
The increase in value of the coins is $15 * (2/3) = $10.
## Step 3: Then, calculate the new... | 12 |
Please answer the following math question.
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\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
Lorelei picks 50% of the 12 red roses. 50% of 12 is calculated by 0.5 * 12 = 6.
## Step 2: Calculate the number of pink roses
Lorelei picks 50% of the 18 pink roses. 50% of 18 is calculated by 0.5 * 18 = 9.
## Step 3: Calculate the number of yellow roses
Lorelei picks 25% ... | ## Step 1: Calculate the number of red roses picked
50% of the red roses from the first rose bush is 0.5 * 12 = 6 red roses.
## Step 2: Calculate the number of pink roses picked
50% of the pink roses from the second rose bush is 0.5 * 18 = 9 pink roses.
## Step 3: Calculate the number of yellow roses picked
25% of th... | 22 |
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\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 number of cups of small lemonade sold.
Tonya sold $11 worth of small lemonades, and each small cup costs $1. Therefore, the number of cups of small lemonade sold can be calculated by dividing the amount of money made from small lemonades ($11) by the cost of each small cup ($1). cups_small = 11... | ## Step 1: To start solving this problem, let's denote the number of cups of small lemonade, medium lemonade, and large lemonade as S, M, and L, respectively.
## Step 2: We know that Tonya made a total of $50. Therefore, we can express the total earnings from the cups of lemonade as $1S + $2M + $3L = $50.
## Step 3: ... | 5 |
Please answer the following math question.
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\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 it took Leo to finish the second part of the assignment
Since it took Leo twice as long to finish the second part of the assignment, we need to double the time it took him to finish the first part of the assignment. 2 * 25 = 50 minutes.
## Step 2: Calculate the total time Leo spent on the... | ## Step 1: Determine the time it took Leo to finish the first and second parts of the assignment.
Since Leo finished the first part in 25 minutes and the second part took twice as long, he took 25 * 2 = 50 minutes to finish the second part.
## Step 2: Calculate the total time Leo spent on the first two parts of the as... | 45 |
Please answer the following math question.
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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 for Connor and his date.
The tickets cost $10.00 each. Since there are two of them, the total cost for the tickets is 2 * $10.00 = $20.00.
## Step 2: Calculate the cost of the combo meal for the popcorn & 2 drinks.
The combo meal costs $11.00.
## Ste... | answers:
a) $22.00
b) $18.00
c) $22.50
d) $23.00
Correct answer:
$\boxed{18.00}$
Explanation:
First, add the cost of the tickets (2 x $10.00 = $20.00) and the combo meal (2 x $11.00 = $22.00) to get a total of $20.00 + $22.00 = $42.00.
Next, add the cost of the candy (2 x $2.50 = $5.00) to get a total of $42.00 +... | 36 |
Please answer the following math question.
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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: Find the total number of red beans.
## Step 1: Calculate the total number of red beans.
First, we need to calculate the total number of red beans. We know that one-fourth of the beans are red. So we can calculate the number of red beans as 572 * (1/4) = 143.
## Step 2: Find the number of remaining beans after... | ## Step 1: First, calculate the total number of red beans
To find the total number of red beans, we need to calculate one-fourth of 572.
## Step 2: Calculate one-fourth of 572
One-fourth of 572 is 572 / 4 = 143.
## Step 3: Calculate the total number of beans remaining after removing the red beans
After removing the 1... | 143 |
Please answer the following math question.
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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 spent in accounting-related jobs is 25 + 15 = 40.
## Step 2: Calculate the percentage of her life spent in an accounting-rel... | ## 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 she spent as an accountant and as an accounting manager. total_accounting_years = years_as_accountant + years_as_accounting_manager = 2... | 50 |
Please answer the following math question.
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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: First, let's determine the number of runners last year.
To do that, we'll subtract the number of people who didn't show up from the total number of people who signed up. runners_last_year = total_signed_up - didn't_show_up = 200 - 40 = 160.
## Step 2: Calculate the number of runners this year.
Since there w... | ## Step 1: Calculate the number of people who signed up last year.
The number of people who signed up last year is 200.
## Step 2: Calculate the number of people who did not show up to run last year.
The number of people who did not show up to run last year is 40.
## Step 3: Calculate the total number of runners last... | 320 |
Please answer the following math question.
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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 per tree
To find the total number of fruits per tree, we multiply the number of trees by the number of fruits per tree. 8 trees * 200 fruits/tree = 1600 fruits.
## Step 2: Calculate the total number of fruits picked from all trees
Dulce picks 2/5 of the oranges from each... | ## Step 1: Calculate the number of fruits Dulce picks from each tree
To find out how many fruits Dulce picks from each tree, we need to multiply the number of trees by the number of fruits on each tree and then multiply by 2/5.
So, (8 * 200) * 2/5 = 960 * 2/5 = 1920 / 5 = 384.
## Step 2: Calculate the total number of ... | 960 |
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Question:
Jason is planning a parking garage that will have 12 floors. Every 3rd floor has a gate where drivers have to show ID, which takes two minutes. To get from one floor to the next, drivers have to... | Solution:
## Step 1: Calculate the total number of gates in the garage
First, we need to calculate how many gates are there in the garage. Since every 3rd floor has a gate, we divide the total number of floors by 3. total_floors = 12, gates = total_floors / 3 = 4.
## Step 2: Calculate the time it takes to drive from ... | (No need to add units, just the total time in seconds)
## Step 1: Calculate the time to drive from one floor to the next.
To find the time to drive from one floor to the next, we need to divide the distance driven by the speed of the car. The distance driven is 800 feet, and the speed of the car is 10 feet/second. So,... | 1440 |
Please answer the following math question.
You should provide your final answer in the format
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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?
| Your response should be in the format
\boxed{[NUMBER]}.
## Step 1: Calculate the number of deer with 8 antlers
First, we need to find out how many deer have 8 antlers. 10% of the total number of deer are with 8 antlers. So, we calculate 10% of 920.
## Step 2: Perform the calculation for the number of deer with 8 ant... | Let x be the number of deer with 8 antlers and y be the number of deer with albino fur.
## Step 1: Determine the total number of deer with 8 antlers
10% of the deer have 8 antlers. We need to calculate 10% of the total number of deer, which is 920.
## Step 2: Calculate 10% of 920
10% of 920 = 0.1 * 920 = 92 deer have... | 23 |
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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: Determine 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: Determine the number of glue sticks Allison bought.
Allison... | ## 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: Calculate how many packs of construction paper Allison bought.
Allison bought six times as many packs of construction paper as Mar... | 28 |
Please answer the following math question.
You should provide your final answer in the format
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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 amount of boring grinding hours
The game promises 100 hours of gameplay, but 80% of that is boring grinding. 80% of 100 is 0.8 * 100 = 80 hours of boring grinding.
## Step 2: Calculate the enjoyable hours from the original game
Enjoyable hours from the original game = Total hours - Boring grin... | ## Step 1: Calculate the total number of hours James spends playing the original game.
To find out how many hours James plays, we first need to calculate 100% of the hours in the game. 100% of the game is 100 hours.
## Step 2: Calculate 80% of the 100 hours of gameplay in the original game.
80% of 100 hours is calcu... | 50 |
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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: First, let's calculate how much money Monica and Michelle have together.
Monica brings $15 and Michelle brings $12, so together they have $15 + $12 = $27.
## Step 2: Now, let's calculate how much money they have left after buying the cake.
The cake costs $15, so after buying the cake, they have $27 - $15 = ... | Let x = number of times 12 servings of soda per bottle of soda.
\boxed{YOUR_ANSWER}.
## Step 1: Calculate the total amount of money Monica and Michelle have together.
Monica brings $15 and Michelle brings $12, so together they have $15 + $12 = $27.
## Step 2: Calculate the cost of the cake.
The cake costs $15.
## St... | 6 |
Please answer the following math question.
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\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 one small glass is $3, and Peter bought 8 of them, so the total cost of the small glasses is 3 * 8 = $24.
## Step 2: Calculate the amount Peter spent on large glasses.
The amount left after buying small glasses is $1. The total Peter spent is $50, s... | ## Step 1: Calculate the total amount spent on small glasses.
Peter bought 8 small glasses at $3 each, so the total cost for small glasses is 8 * 3 = 24 dollars.
## Step 2: Calculate the total amount spent on large glasses.
Peter was left with $1 after buying the small glasses, and he had $50 initially. Therefore, the... | 5 |
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You should provide your final answer in the format
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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 ... | $\boxed{YOUR_ANSWER}$
## Step 1: Calculate the total number of months in 20 years.
There are 12 months in a year, so there are 12 * 20 = 240 months in 20 years.
## Step 2: Calculate the monthly payment for the house.
To calculate the monthly payment for the house, we need to divide the cost of the house by the number... | Let x be the monthly payment on the house and y be the monthly payment on the trailer. We are given:
a) x + y = 4800
b) 480000x + 120000y = 84000000
c) x = 24000
d) y = 150000
## Step 1: Solve the system of equations to find the value of x
We have two equations: x + y = 4800 and 480000x + 120000y = 84000000. We can s... | 1500 |
Please answer the following math question.
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\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: First, let's determine how many seeds Oshea can plant in the large planters.
Oshea has 4 large planters that can hold 20 seeds each. So, he can plant 4 x 20 = 80 seeds in the large planters.
## Step 2: Next, we need to find out how many seeds are left for the small planters.
Oshea started with 200 seeds and... | Step 1: Calculate the number of seeds that can be planted in large planters.
200 seeds ÷ 20 seeds per planter = 10 planters
Step 2: Calculate the number of seeds that can be planted in large planters.
10 planters × 20 seeds per planter = 200 seeds
Step 3: Calculate the number of seeds that can be planted in small pla... | 30 |
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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?... | Eric can evenly distribute the pencils into the five containers. Let's find the new total number of pencils Eric has. First, let's add the initial number of pencils he already had and the pencils the teacher brought him. 150 + 30 = 180.
Now we need to divide the new total number of pencils by the number of containers.... | What is the value of E's last remainder?
## Step 1: Determine the total number of pencils after receiving the additional pencils.
First, we need to calculate the total number of pencils Eric has after receiving the additional 30 pencils. total_pencils = 150 + 30 = 180.
## Step 2: Divide the total number of pencils ... | 36 |
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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: First, let's figure out the initial number of women at the event.
The event has 80 guests, with 40 men. So, the number of women can be found by subtracting the number of men from the total number of guests: women = total_guests - men = 80 - 40 = 40.
## Step 2: We are told that the number of children is ha... | A) 10
B) 20
C) 30
D) 40
E) 50
## Step 1: Determine the number of women and children
Oleg has 80 guests in total, with 40 of them being men. This means that the number of women can be found by subtracting the number of men from the total number of guests. women = total_guests - men = 80 - 40 = 40. Since half the number... | 30 |
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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.
First, we need to find the total number of stamps on the first 10 pages. There are 5 rows with 30 stamps in each row, so the total number of stamps in the first 10 pages is 5 * 30 * 10 = 1500 stamps.
## Step 2: Calculate the number of stamps on the... | ## Step 1: First, let's calculate the total number of stamps in the first 10 pages.
There are 5 rows of 30 stamps in each page, so there are 5 x 30 = 150 stamps in each of the first 10 pages.
## Step 2: Calculate the total number of stamps in the first 10 pages.
The total number of stamps in the first 10 pages is 10 x... | 3500 |
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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 of $100, which is $100 / 2 = $50.
## Step 3: Calculate the total cost for the first 200 channels
Total cost = $100 + $50 = $150.
## Step 4: ... | $85, $130, or $200?
## 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, so they cost $100 / 2 = $50.
## Step 3: Calculate the total cost of all the channels.
Total... | 75 |
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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... | A) 130 minutes
B) 160 minutes
C) 120 minutes
D) 150 minutes
## Step 1: Calculate the time from the first station to work.
To find out how long it takes for Mr. Langsley to get to his workplace after picking him up, we first need to calculate the total time taken from the time he is picked up until his workplace is rea... | A) 150
B) 180
C) 240
D) 330
## Step 1: Calculate the time taken from the bus pickup to Mr. Langsley's workplace.
Mr. Langsley's bus is supposed to pick him up at 6:00 a.m., but he arrives at work at 9:00 a.m., which means it takes him 3 hours to reach his workplace.
## Step 2: Calculate the total time spent in the bu... | 140 |
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\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... | final Answer: $\boxed{67}$.
## Step 1: Calculate the total number of cards Janessa had initially.
Janessa initially had 4 cards in addition to the 13 cards given by her father, making it 4 + 13 = 17 cards.
## Step 2: Calculate the total number of cards after receiving the order from eBay.
Janessa received 36 cards fr... | ## Step 1: Calculate the initial number of cards Janessa has in total.
Janessa starts with 4 cards from her father and 13 cards from herself, making a total of 4 + 13 = 17 cards.
## Step 2: Calculate the number of cards after receiving the eBay order and throwing some away.
Janessa received 36 cards from eBay and thre... | 20 |
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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?
| Solution:
## Step 1: Calculate the total cost of the barbells.
The total cost of the barbells can be found by subtracting the change from the amount John gave. total_cost = $850 - $40 = $810.
## Step 2: Determine the cost of each barbell.
To find the cost of each barbell, we need to divide the total cost of the barbel... | ## Step 1: Determine the total amount John paid
John paid a total of $850 + $40 = $890 for the barbells.
## Step 2: Calculate the cost of each barbell
To find out how much each barbell cost, we need to divide the total amount John paid ($890) by the number of barbells he bought (3).
## Step 3: Calculate the final cos... | 270 |
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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... | ## Step 1: Define the variables
Let's define the variable x as the amount of money Mike received from his first job.
## Step 2: Write an equation based on the total wages received
The total wages received is the sum of the wages from the first job and the wages from the second job. We know that the second job pays $9 ... | Let $x$ be the total amount of money Mike earned from his first job and $y$ be the total amount he received from his second job. We know that Mike receives $160 in total for the week.
## Step 1: Let's represent the amount Mike earned from his first job as x dollars.
## Step 2: Mike works 12 hours a week, and $x$ is the... | 52 |
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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... | There are 5 problems. I'll only answer one here.
## Step 1: Determine the number of times Wilson sleds down the tall hills.
Wilson sleds down the 2 tall hills 4 times each, so the total number of times he sleds down the tall hills is 2 * 4 = 8.
## Step 2: Calculate the number of times Wilson sleds down the small hill... | ## Step 1: Determine the number of times Wilson sleds down the tall hills.
Wilson sleds down the 2 tall hills 4 times each, so he sleds down the tall hills 2 * 4 = 8 times.
## Step 2: Calculate the number of times Wilson sleds down the small hills.
Wilson sleds down the 3 small hills half as often as the tall hills, w... | 14 |
Please answer the following math question.
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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: Let's denote the number of cherry sodas as C and the number of orange pops as O.
## Step 2: We know that C + O = 24 (since there are 24 cans in total).
## Step 3: We are also told that O = 2C (since there are twice as many cans of orange pop as there are of cherry soda).
## Step 4: Substitute O = 2C into the... | Let x be the number of cherry sodas.
## Step 1: Let's denote the number of cherry sodas as x.
We know that the number of orange pops is twice the number of cherry sodas. So, the number of orange pops is 2x.
## Step 2: Calculate the total number of items in the cooler.
The total number of items is the sum of cherry so... | 8 |
Please answer the following math question.
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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... | Let x be the weight of the items that Daryl can't leave out of the crates.
Then the total weight of items Daryl can put in the crates equals 15 times the weight limit (20 x 15), which equals 300 kg. Each of the bags of nails weighs 5 kg. So the total weight of nails is 4 times 5, which is 20 kg. The total weight of ham... | ## Step 1: Calculate the total weight of the nails
To find the total weight of the nails, we need to multiply the number of bags of nails by the weight of each bag. total_weight_nails = 4 * 5 = 20kg.
## Step 2: Calculate the total weight of the hammers
To find the total weight of the hammers, we need to multiply the n... | 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?
| Write your response in the format \boxed{YOUR_ANSWER}.
## Step 1: Convert Kwame's study time to minutes
Since Kwame studied for 2.5 hours, we need to convert this to minutes. There are 60 minutes in 1 hour, so 2.5 hours is equal to 2.5 * 60 = 150 minutes.
## Step 2: Calculate the total minutes studied by Kwame and Con... | ------------------------
## Step 1: Convert Kwame's study time from hours to minutes
To compare the study times of Kwame, Connor, and Lexia, we need to convert Kwame's study time from hours to minutes. Since there are 60 minutes in an hour, Kwame studied for 2.5 * 60 = 150 minutes.
## Step 2: Convert Connor's study t... | 143 |
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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... | ## Step 1: Calculate the total amount of milk collected over the two milking days.
To find this, we need to add the gallons of milk collected this morning to the gallons collected this evening. This will give us the total amount of milk collected over the two milking days.
## Step 2: Calculate the total amount of milk... | 8. In a rectangular prism, the length of the base is 7 cm and the height is 5 cm. The width of the prism is 2 cm. Find the volume of the prism. In a circle, what is the area of the sector of a circle with radius 8 cm if it cuts off a 30-45-90 triangle? Calculate the length of the base of the triangle.
9. A die is r... | 148 |
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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: Determine the amount of iced tea in one drink.
The amount of iced tea in one drink is 1/4 of a cup.
## Step 2: Determine the amount of lemonade in one drink.
The amount of lemonade in one drink is 1 and 1/4 of a cup, which is the same as 5/4 of a cup.
## Step 3: Calculate the total amount of one drink.
The... | Let x be the number of cups of lemonade in the pitcher.
## Step 1: Determine the amount of iced tea in one drink
The amount of iced tea in one drink is 1/4 of a cup.
## Step 2: Determine the amount of lemonade in one drink
The amount of lemonade in one drink is 1 and 1/4 of a cup, which is 5/4 of a cup.
## Step 3: C... | 15 |
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Question:
Mehki is 10 years older than Jordyn. Jordyn's age is double Zrinka's age. If Zrinka is 6 years old, how many years old is Mehki?
| ## Step 1: Identify Zrinka's age
Zrinka is 6 years old.
## Step 2: Calculate Jordyn's age
Jordyn's age is double Zrinka's age, so Jordyn's age is 2 * 6 = 12 years old.
## Step 3: Calculate Mehki's age
Mehki is 10 years older than Jordyn, so Mehki's age is 12 + 10 = 22 years old.
The final answer is: $\boxed{22}$ | \boxed{YOUR_ANSWER}
Step 1: Calculate Jordyn's age
Jordyn is 2 years younger than Zrinka. Since Zrinka is 6 years old, Jordyn's age is 6 - 2 = 4 years old.
Step 2: Calculate Mehki's age
Mehki is 10 years older than Jordyn. Since Jordyn is 4 years old, Mehki's age is 4 + 10 = 14 years old.
The final answer is: $\boxe... | 22 |
Please answer the following math question.
You should provide your final answer in the format
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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 per cookie
First, let's calculate the amount of milk needed per cookie. We know that Juan needs 10 half-gallons of milk for 40 cookies. So, we can find the amount of milk needed per cookie by dividing 10 half-gallons by 40 cookies.
## Step 2: Calculate the amount of milk ... | First, we need to find how many half-gallons of milk per cookieJuan needs. We divide the total amount of milk needed by the number of cookies baked. $\frac{10 \text{ half-gallons}}{40 \text{ cookies}}=\frac{2 \text{ half-gallons}}{1 \text{ cookie}}$
2. How many half-gallons of milk does Juan need for 200 dozen cookies... | 50 |
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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?
| Answer:
## Step 1: Calculate the total number of passengers the train can carry.
The train has 16 cars and can carry 60 passengers per car. So, the total number of passengers the train can carry is 16 * 60 = 960.
## Step 2: Calculate the total number of passengers 2 airplanes can carry.
A single airplane can carry 36... | First, determine how many passengers the 2 airplanes can carry.
2 airplanes can carry 2 x 366 = 732 passengers.
Now, determine how many passengers the train can carry.
The train can carry 16 x 60 = 960 passengers.
Now, subtract the number of passengers the airplanes can carry from the number of passengers the train c... | 228 |
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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) 600
b) 1000
c) 1100
d) 1200
## Step 1: Calculate the total number of students Adam will teach in 10 years.
To find the total number of students Adam will teach in 10 years, we need to multiply the number of students he teaches per year by the number of years.
## Step 2: Calculate the total number of students Adam ... | a) 0
b) 20
c) 30
d) 50
## Step 1: Calculate the number of students Adam teaches in each subsequent year after the first year.
Adam teaches 40 students in the first year, so in each subsequent year, he teaches 50 students (the same number as the previous year).
## Step 2: Determine the number of years in which Adam te... | 490 |
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\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... | +---------------------------+
| | |
| 1/4 middle | |
| tree | |
+---------------------------+
| | |
| 1/4 smallest | ... | ==============
## Step 1: Find the height of the middle-sized tree.
The height of the middle-sized tree is 6 feet less than half the height of the tallest tree, which is 108 feet. So, the height of the middle-sized tree is 108 / 2 - 6 = 54 feet.
## Step 2: Find the height of the smallest tree.
The smallest tree ... | 12 |
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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 how many towels Jane can fold in one hour
There are 60 minutes in an hour. Since Jane can fold 3 towels in 5 minutes, we first need to find out how many sets of 5 minutes are in 60 minutes. This is calculated as 60 / 5 = 12. Now, we multiply the number of sets of 5 minutes by the number of towels J... | ## Step 1: Determine the rate of work for each person
To find out how many towels each person can fold in one hour, we first need to determine their individual rates of work. This can be calculated by determining how many towels they can fold in one minute and then multiplying that by the number of minutes in an hour.
... | 87 |
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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
Dave bought 3 packs of white T-shirts. Each pack contains 6 T-shirts. So, the total number of white T-shirts is 3 * 6 = 18.
## Step 2: Calculate the number of blue T-shirts
Dave bought 2 packs of blue T-shirts. Each pack contains 4 T-shirts. So, the total number of ... | Tom has $200 to spend on T-shirts and wants to buy only the blue T-shirts for his basketball team. If each blue T-shirt costs $40, and Tom can only spend the money he has, how many blue T-shirts will Tom buy?
## Step 1: Calculate the total number of white T-shirts Dave bought.
Dave bought 3 packs of white T-shirts, an... | 26 |
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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: We are given that Carla caught 8 fish, and we know that Kyle and Tasha caught the same number of fish.
## Step 2: Since the total number of fish caught is 36, and Carla caught 8, we can find the combined number of fish caught by Kyle and Tasha by subtracting Carla's share from the total.
## Step 3: The co... | Let x be the number of fish Kyle caught.
## Step 1: Write down the information given in the problem
Carla caught 36 fish in total.
Kyle caught x fish, and Tasha caught y fish.
We are given that x = 8 and y = x.
## Step 2: Use the given information to write an equation
Since Kyle and Tasha caught the same number of fi... | 14 |
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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: Calculate the number of paper towels pallets
The store received 20 pallets. Half of the pallets were paper towels. Half of 20 is 10, so the store received 10 pallets of paper towels.
## Step 2: Calculate the number of tissues pallets
A quarter of the pallets were tissues. A quarter of 20 is 5, so the store ... | ## Step 1: Determine the fraction of pallets that were paper towels, tissues, and paper plates.
First, we find the fractions that represent the quantities of each type of paper product: half of the pallets were paper towels, a quarter were tissues, and a fifth were paper plates. This can be represented as 1/2 + 1/4 + 1... | 1 |
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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?
| A) 335
B) 335
C) 205
D) 115
## Step 1: Calculate the total number of popsicle sticks given to the groups.
To find the total number of popsicle sticks given to the groups, multiply the number of groups by the number of popsicle sticks per group. total_given = 10 groups * 15 sticks/group = 150 sticks.
## Step 2: Subtra... | a) 55
b) 85
c) 95
d) 115
To determine the total number of sticks Miss Davis gave out, we multiply the number of groups by the number of sticks each group got. 10 x 15 = 150. To find the number of sticks Miss Davis has left, we subtract 150 from 170. So, 170 - 150 = 20. The correct answer is (d) 115.
## Step 1: Calcul... | 20 |
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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 number of hours Mark reads per week
Mark reads 2 hours per day. There are 7 days in a week. So, Mark reads 2 * 7 = 14 hours per week.
## Step 2: Calculate the additional hours Mark wants to spend reading per week
Mark wants to increase his time spent reading by 4 hours per week.
## Step 3: Ca... | ## Step 1: Calculate the number of days in a week
There are 7 days in a week.
## Step 2: Calculate the number of hours Mark wants to spend reading books per week
Mark initially reads 2 hours each day. If he increases this time by 4 hours each week, then the total hours spent reading books per week will be 2 + 4 = 6 ho... | 18 |
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Question:
James buys 6 t-shirts for 50% off. They each cost $20. How much did he pay?
| ## Step 1: First, we need to find the original price of one t-shirt.
To do this, we'll determine the discount and then divide by 6 since there are 6 t-shirts.
## Step 2: Now we need to find the amount of discount on each t-shirt.
Since James buys them at 50% off, the discount is $20 * 0.5 = $10.
## Step 3: Calculate ... | ## Step 1: Calculate the discounted price of one t-shirt
First, we need to find out how much one t-shirt costs after the discount. Since the t-shirts are on sale for 50% off and they originally cost $20, we calculate the discounted price by subtracting 50% of the original price from the original price. The calculation ... | 60 |
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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... | L.
## Step 1: Determine the cost of the math and science books
First, we need to calculate the total cost of the math and science books. The math books cost $3 each and there are 2 of them, so they cost 2 * 3 = $6. The science books cost $3 each and there are 6 of them, so they cost 6 * 3 = $18.
## Step 2: Calculate ... | ## Step 1: Let's denote the cost of each art book as "x".
## Step 2: Alicia buys 2 math books for $3 each, so the total cost of the math books is 2 * $3 = $6.
## Step 3: Alicia buys 6 science books for $3 each, so the total cost of the science books is 6 * $3 = $18.
## Step 4: The total cost of all the books combin... | 2 |
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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: Calculate the initial number of pens in the jar.
The jar initially contains 9 blue pens, 21 black pens, and 6 red pens.
## Step 2: Determine the number of blue pens left after removing four.
The number of blue pens left after removing 4 blue pens is 9 - 4 = 5.
## Step 3: Determine the number of black pens ... | Please provide your final answer in the specified format.
## Step 1: First, let's calculate the total number of pens initially in the jar.
The total number of pens is the sum of blue, black, and red pens. total_pens = 9 + 21 + 6 = 36.
## Step 2: Calculate the number of pens left after removing 4 blue pens.
blue_pens_... | 25 |
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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: Calculate the current ages of the siblings.
The eldest child is currently 20 years old. Since they are 5 years old now, we subtract 5 from 20 to find their current age.
The eldest child's current age is 20 - 5 = 15.
## Step 2: Calculate the ages of the other siblings 10 years from now.
To find the ages of th... | ## Step 1: Calculate the current ages of the siblings.
The eldest child is currently 20 years old.
## Step 2: Calculate the ages of the siblings 10 years from now.
To calculate the ages of the siblings 10 years from now, we need to add 10 years to their current ages.
## Step 3: Determine the age of the middle child.
... | 75 |
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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... | You may assume that 1 inch represents one year of growth.
## Step 1: Determine the initial growth of the tree.
The tree initially was 24 inches tall and grows twice as fast as the boy. The boy grows 1 inch per year, so the tree grows twice as fast as the boy, which is 2 inches per year.
## Step 2: Calculate the gro... | a) 48
b) 54
c) 56
d) 60
Step 1: To solve this problem, let's denote the time that the boy grows as "t" years. The growth rate of the tree can be denoted as "r" which is twice the growth rate of the boy.
Step 2: Given that the boy is 24 inches tall on the day the tree is planted, we know that the initial height of t... | 40 |
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\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: Calculate the time Mike spends watching TV in a week.
Since Mike watches TV for 4 hours every day, the total time he spends watching TV in a week is 4 * 7 = 28 hours.
## Step 2: Calculate the time Mike spends playing video games on a typical day.
On the days he plays video games, Mike plays for half as long... | ## Step 1: Calculate the time spent watching TV per week
Mike watches TV for 4 hours every day. Since he plays video games 3 days a week, he spends 4 hours/day * 3 days/week = 12 hours/week watching TV.
## Step 2: Calculate the time spent playing video games per week
On the days he plays video games, he spends half as... | 34 |
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