prompt stringlengths 218 807 | chosen stringlengths 163 2.4k | rejected stringlengths 95 1.01k | answer stringclasses 179
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You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 seashell... | Step 1: Mimi picked up 2 dozen seashells. This is equal to 24 seashells.
Step 2: Kyle found twice as many shells as Mimi. This is equal to 2 x 24 = 48 seashells.
Step 3: Leigh grabbed one-third of the shells that Kyle found. This is equal to 1/3 x 48 = 16 seashells.
Step 4: The final answer is 16.
#### 16
```sql
```sq... | Step 1: Mimi picked up 2 dozen seashells. There are 12 seashells in a dozen. So, Mimi picked up 2 * 12 = 24 seashells.
Step 2: Kyle found twice as many shells as Mimi. This means Kyle found 2 * 24 = 48 seashells.
Step 3: Leigh grabbed one-third of the shells that Kyle found. So, Leigh grabbed 1/3 * 48 = 16 seashells... | 16 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 seashell... | Step 1: Mimi picked up 2 dozen seashells. This is equal to 24 seashells.
Step 2: Kyle found twice as many shells as Mimi. This is equal to 2 x 24 = 48 seashells.
Step 3: Leigh grabbed one-third of the shells that Kyle found. This is equal to 1/3 x 48 = 16 seashells.
Step 4: The final answer is 16.
#### 16
```sql
```sq... | Step 1: Find the number of shells Mimi found. Since she picked up 2 dozen shells, that is 2 * 12 = 24 shells.
Step 2: Find the number of shells Kyle found. Since he found twice as many shells as Mimi, he found 2 * 24 = 48 shells.
Step 3: Find the number of shells Leigh grabbed. Since she grabbed one-third of the she... | 16 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 t... | Step 1: Emma starts the week with $100.
Step 2: Each day of the week, she spends $8. The number of days in a week is 7. Therefore, the total amount she spends is 8 * 7 = 56 dollars.
Step 3: To find out how much money remains, we need to subtract the amount she spent from the initial amount in her account. She spent ... | Step 1: Divide $100 by $8, which gives 12.5, so there are 12 days and a half of $5 bills.
Step 2: Because $5 bills have to be whole, Emma gets 12 days of $5 bills, which has a total of $60.
Step 3: After this, Emma gets $5 for the remaining half of the week. This gives her a total of $65.
Step 4: At the end of the week... | 4 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 t... | Step 1: Emma starts the week with $100.
Step 2: Each day of the week, she spends $8. The number of days in a week is 7. Therefore, the total amount she spends is 8 * 7 = 56 dollars.
Step 3: To find out how much money remains, we need to subtract the amount she spent from the initial amount in her account. She spent ... | Step 1: Calculate the total amount spent by Emma in a week.
Step 2: Calculate the number of $5 bills Emma can get by dividing the remaining amount by $5.
Step 3: Output the final answer on a new line.
Step 1: Calculate the total amount spent by Emma in a week:
$8 per day for 7 days = $56 per week.
Step 2: Calculat... | 4 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: Identify the total distance of the hike.
Step 2: Identify the distance covered by Ezekiel on the first two days.
Step 3: Subtract the total distance covered in the first two days from the total distance to find the distance left to hike on the third day.
Step 4: Calculate the distance.
Step 5: Output the final ... | Day 1: 10 km
Day 2: 25 km
Remaining Distance: 50 km - 25 km = 25 km
Day 3: 25 km + the remaining distance to complete the hike, which is 25 km. Since he had hiked a total of 10 + 25 + 25 = 60 km, he must have hiked 25 + 25 = 50 km on the third day.
#### 50 | 15 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: Identify the total distance of the hike.
Step 2: Identify the distance covered by Ezekiel on the first two days.
Step 3: Subtract the total distance covered in the first two days from the total distance to find the distance left to hike on the third day.
Step 4: Calculate the distance.
Step 5: Output the final ... | Let's call the number of kilometers Ezekiel hikes on the third day 'x'. Since the second day he covers half of the hike distance, then he hikes 10 / 2 = 5 kilometers on the second day. So, the total distance he has to cover on the third day is 50 - 10 - 5 = 35 kilometers.
The final answer is: #35. | 15 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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, h... | Step 1: Determine the total number of tins James collected on the first two days.
On the first day, he collected 50 tins. On the second day, he collected 3 times that number, which is 3 x 50 = 150 tins.
Step 2: Calculate the total number of tins James collected on the first two days.
Total tins collected on the first ... | Day 1: 50 tins
Day 2: 150 tins
Day 3: 100 tins
Day 4: 50 tins
Day 5: 150 tins
Day 6: 100 tins
Day 7: 50 tins
#### 200. | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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, h... | Step 1: Determine the total number of tins James collected on the first two days.
On the first day, he collected 50 tins. On the second day, he collected 3 times that number, which is 3 x 50 = 150 tins.
Step 2: Calculate the total number of tins James collected on the first two days.
Total tins collected on the first ... | Step 1: Determine the number of tins James collected on each of the first three days
Day 1: 50 tins
Day 2: 3 x 50 = 150 tins
Day 3: 150 - 50 = 100 tins
Step 2: Calculate the total number of tins James collected for the first three days
50 + 150 + 100 = 300 tins
Step 3: Subtract the total collected in the first three ... | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 sco... | The bullseye, worth 50 points, is worth 2 times the points of a standard dart, which is 50 * 2 = 100 points.
The dart that completely missed the target, worth 0 points, is worth 50 points.
The dart that is worth half the points of the bullseye, worth 50 * 0.5 = 25 points.
Now, let's calculate the final score:
- The bul... | First, calculate the points from the bullseye. 3 * 50 = 150.
Next, add the points from the missed target. 150 + 0 = 150.
Finally, calculate the points from the third target. 150 / 2 = 75.
The final score is 150 + 75 = 225.
#### 225
Note: The scores were determined through a series of simple arithmetic calculations... | 75 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 sco... | The bullseye, worth 50 points, is worth 2 times the points of a standard dart, which is 50 * 2 = 100 points.
The dart that completely missed the target, worth 0 points, is worth 50 points.
The dart that is worth half the points of the bullseye, worth 50 * 0.5 = 25 points.
Now, let's calculate the final score:
- The bul... | Step 1: First, calculate the points for each throw separately.
Step 2: Bullseye is worth 50 points.
Step 3: The first dart is worth 0 points.
Step 4: The second dart is worth 0 points.
Step 5: The third dart is worth 25 points.
Step 6: Add up the points for each throw to get the final score.
Step 7: The final sc... | 75 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: Calculate the total number of pebbles that TreQuan will throw.
Step 2: Calculate the total number of rocks that TreQuan will throw.
Step 3: Calculate the total number of boulders that TreQuan will throw.
Step 4: Multiply the total number of each type of rock by its respective splash width.
Step 5: Add the ... | ## Step 1: First, calculate the total width of the splash from the pebbles.
6 pebbles * 1/4 meter = 6/4 = 1.5 meters
## Step 2: Next, calculate the total width of the splash from the rocks.
3 rocks * 1/2 meter = 3/2 = 1.5 meters
## Step 3: Finally, calculate the total width of the splash from the boulders.
2 boulders... | 7 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: Calculate the total number of pebbles that TreQuan will throw.
Step 2: Calculate the total number of rocks that TreQuan will throw.
Step 3: Calculate the total number of boulders that TreQuan will throw.
Step 4: Multiply the total number of each type of rock by its respective splash width.
Step 5: Add the ... | Step 1: Calculate the total width of the pebble splashes.
Step 2: Calculate the total width of the rock splashes.
Step 3: Calculate the total width of the boulder splashes.
Step 4: Add the total widths of the rock and boulder splashes to find the total width of the splashes made by TreQuan.
Step 5: Output the final ans... | 7 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 e... | Step 1: Convert three dozen eggs into individual eggs. There are 12 eggs in one dozen. Therefore, three dozen eggs is 3 × 12 = 36 eggs.
Step 2: Divide the total number of eggs by the number of eggs needed per omelet. So, 36 eggs / 4 eggs per omelet = 9 omelets.
Step 3: Divide the number of omelets by the number of peop... | Step 1: Convert 3 dozen to the number of eggs. Three dozen equals 3 * 12 = 36 eggs.
Step 2: Divide the number of eggs by the number of omelets per person. 36 / 4 = 9 omelets per person.
Step 3: Output the answer. 9
#### <answer> | 3 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 e... | Step 1: Convert three dozen eggs into individual eggs. There are 12 eggs in one dozen. Therefore, three dozen eggs is 3 × 12 = 36 eggs.
Step 2: Divide the total number of eggs by the number of eggs needed per omelet. So, 36 eggs / 4 eggs per omelet = 9 omelets.
Step 3: Divide the number of omelets by the number of peop... | Step 1: Convert the number of eggs into individual units, 3 dozen eggs equals 36 eggs. Then, 36 eggs / 4 eggs per omelet equals 9 omelets.
Step 2: There are 3 people, and each person gets 9 omelets. 9 omelets * 3 people equals 27 omelets.
#### 27 | 3 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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, an... | Step 1: The first stack is 7 blocks tall.
Step 2: The second stack is 3 blocks taller than the first stack, so it is 7+3 = 10 blocks tall.
Step 3: The third stack is 6 blocks shorter than the second stack, so it is 10-6 = 4 blocks tall.
Step 4: The fourth stack is 10 blocks taller than the third stack, so it is 4+10 = ... | Step 1: Let the number of blocks in the second stack be x.
Step 2: Then the number of blocks in the third stack is x-6.
Step 3: The number of blocks in the fourth stack is (x-6)+10 = x+4.
Step 4: The number of blocks in the fifth stack is 2(x-6).
Step 5: The total number of blocks Thomas used is: x + (x-6) + (x+4) + (2... | 55 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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, an... | Step 1: The first stack is 7 blocks tall.
Step 2: The second stack is 3 blocks taller than the first stack, so it is 7+3 = 10 blocks tall.
Step 3: The third stack is 6 blocks shorter than the second stack, so it is 10-6 = 4 blocks tall.
Step 4: The fourth stack is 10 blocks taller than the third stack, so it is 4+10 = ... | Step 1: Let x be the number of blocks in the second stack.
Step 2: The number of blocks in the first stack is 7.
Step 3: The number of blocks in the third stack is 3 + 6 = 9.
Step 4: The number of blocks in the fourth stack is 10 + x.
Step 5: The number of blocks in the fifth stack is 2x.
Step 6: The total number of bl... | 55 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 al... | Let a, b, c, d, and e represent the weight of Trace’s shopping bags. The given information can be written as the following system of equations:
Since the bags weigh the same amount, a = b, c = d, and e = e. Since one of Gordon’s bags weighs three pounds and the other weighs seven pounds, we can write the following equa... | Step 1: Let x be the weight of one of Trace’s shopping bags.
Step 2: Since the bags weigh the same amount, we can set up the equation: 3x + 7x = 14x.
Step 3: Solve the equation for x.
Step 4: 14x = 14x
Step 5: x = 1 pound
Therefore, one of Trace’s bags weighs 1 pound.
#### 1 pound | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 al... | Let a, b, c, d, and e represent the weight of Trace’s shopping bags. The given information can be written as the following system of equations:
Since the bags weigh the same amount, a = b, c = d, and e = e. Since one of Gordon’s bags weighs three pounds and the other weighs seven pounds, we can write the following equa... | Step 1: Assume that Trace's bags weigh x pounds each.
Step 2: Since five of Trace's bags weigh the same amount as Gordon's two bags, 5x = 2(3 + 7).
Step 3: 5x = 2(10) which simplifies to 5x = 20.
Step 4: Divide both sides of the equation by 5 to get x = 20/5 which simplifies to x = 4.
Step 5: The final answer is 4... | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: To find the number of books in the library, we must first determine the total number of books that are intended for children or adults. This will be the sum of the number of books intended for children and the number of books intended for adults.
Step 2: We can express this as an equation: 35% of the total n... | Step 1: Calculate the number of books intended for children. Since 35% of the books are for children, then 35% of 100 books is 0.35 x 100 = 35 books.
Step 2: Add the number of adult books to the number of child books to find the total number of books in the library. So 35 child books + 104 adult books = 139 books in to... | 160 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: To find the number of books in the library, we must first determine the total number of books that are intended for children or adults. This will be the sum of the number of books intended for children and the number of books intended for adults.
Step 2: We can express this as an equation: 35% of the total n... | Step 1: Let x be the total number of books in the library. Then 35% of x is the number of books for children.
Step 2: 35% of x can be expressed as 0.35x
Step 3: The number of books for adults is 104. This is 65% of the total number of books (100 - 35% = 65%)
Step 4: So, 0.65x = 104
Step 5: Divide both sides by 0.65: x... | 160 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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,... | Step 1: First, we need to find the total amount of time recorded by Patricia for each player. This is found by adding up the seconds recorded for each player.
Step 2: Then, we divide the total amount of time by the number of players to find the average amount of time each player gets.
Step 3: Let's calculate the total ... | Step 1: Calculate the total amount of video time for each player. 130 + 145 + 85 + 60 + 180 = 600
Step 2: Divide the total time for each player by the number of players (5) to find the average time per player. 600 / 5 = 120
Step 3: Express the final answer in the required format: 120
#### 120 | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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,... | Step 1: First, we need to find the total amount of time recorded by Patricia for each player. This is found by adding up the seconds recorded for each player.
Step 2: Then, we divide the total amount of time by the number of players to find the average amount of time each player gets.
Step 3: Let's calculate the total ... | Step 1: First, we add the total time all players will be recorded. 130 + 145 + 85 + 60 + 180 = 600.
Step 2: Next, we divide the total time by the number of players. There are 5 players. 600 ÷ 5 = 120.
Step 3: We convert 120 minutes to seconds. There are 60 seconds in a minute. 120 x 60 = 7200.
#### 7200 | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 av... | Step 1: Let H be the total number of students in the class.
Step 2: Let S be the number of students with average height. We are given that S = 2/5 of H, i.e., S = 2H/5.
Step 3: We also know that the total number of students is H, so we can write the equation S + 90 = H.
Step 4: Substitute S = 2H/5 into the equation... | Step 1: The number of short students is 2/5 * 400 = 160.
Step 2: The number of students with average height is 400 - 160 - 90 = 140.
#### 140 | 150 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 av... | Step 1: Let H be the total number of students in the class.
Step 2: Let S be the number of students with average height. We are given that S = 2/5 of H, i.e., S = 2H/5.
Step 3: We also know that the total number of students is H, so we can write the equation S + 90 = H.
Step 4: Substitute S = 2H/5 into the equation... | Step 1: Calculate the number of short students in the class
Short students = (2/5) × 400 = 160
Step 2: Calculate the number of students with average height
Average height students = 400 - Short students = 400 - 160 = 240
Final answer: #### 240 | 150 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Let's start by defining the variables for the flowers. Let r be the number of red roses, p be the number of pink roses, y be the number of yellow roses, and o be the number of orange roses.
Step 2: We know that the number of roses in each type is as follows:
- r = 12
- p = 18
- y = 20
- o = 8
Step 3: ... | Step 1: Determine which roses are picked for the vase by calculating 50% of the number of roses for each type.
50% of 12 is 6, 50% of 18 is 9, 50% of 20 is 10, and 50% of 8 is 4
Step 2: Add up the number of each type of rose picked for the vase.
6 + 9 + 10 + 4 = 29
The final answer is:#### 29 | 22 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Let's start by defining the variables for the flowers. Let r be the number of red roses, p be the number of pink roses, y be the number of yellow roses, and o be the number of orange roses.
Step 2: We know that the number of roses in each type is as follows:
- r = 12
- p = 18
- y = 20
- o = 8
Step 3: ... | Step 1: Calculate the number of red roses picked: 50% of 12 is 0.5 × 12 = 6.
Step 2: Calculate the number of pink roses picked: 50% of 18 is 0.5 × 18 = 9.
Step 3: Calculate the number of yellow roses picked: 25% of 20 is 0.25 × 20 = 5.
Step 4: Calculate the number of orange roses picked: 25% of 8 is 0.25 × 8 = 2.
S... | 22 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 throug... | Step 1: Calculate the total amount of money earned from small and medium cups. money_s = 11 + 24 = $35
Step 2: Calculate the total amount of money earned from large cups. money_l = 50 - money_s = 50 - 35 = $15
Step 3: Calculate the number of large cups sold. cups_l = money_l / 3 = 15 / 3 = 5
Step 4: Output the final an... | Let $x$ be the number of cups sold in large lemonade, $y$ be the number of cups of small lemonade, and $z$ be the number of cups of medium lemonade. We have that $x + y + z = 50$, $y = 11$, and $z = 24$. We can substitute the second and third equations into the first to get
\begin{align*}
x + 11 + 24 & = 50\\
x + 35 ... | 5 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Find out how many minutes it took Leo to finish the second part. Since he finished the first part in 25 minutes and it took him twice as long to finish the second part, it took him 25 * 2 = 50 minutes to finish the second part.
Step 2: Find the total time Leo spent on his first two parts of the assignment. 25 +... | Step 1: Convert time from hours to minutes.
Step 2: Set up the equation. 25 + 2x = 120
Step 3: Solve for x. 2x = 120 - 25, 2x = 95, x = 47.5
Step 4: Find the number of minutes Leo finished the third part of the assignment. 47.5 + 75 = 122.5
#### 122.5 | 45 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Find out how many minutes it took Leo to finish the second part. Since he finished the first part in 25 minutes and it took him twice as long to finish the second part, it took him 25 * 2 = 50 minutes to finish the second part.
Step 2: Find the total time Leo spent on his first two parts of the assignment. 25 +... | Let \(x\) be the number of minutes it took Leo to finish the third part of the assignment. Then we can set up the following equation:
\(25 + 2x = 120\)
Subtract 25 from both sides of the equation:
\(2x = 95\)
Divide both sides by 2:
\(x = 47.5\)
Therefore, Leo finished the third part of the assignment in 47.5 minutes. | 45 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answe... | Step 1: First, we calculate the number of red beans. One-fourth of 572 is (1/4) * 572 = 143.
Step 2: Now we calculate the number of beans left after removing the red beans. 572 - 143 = 429.
Step 3: Next, we calculate the number of white beans. One-third of 429 is (1/3) * 429 = 143.
Step 4: We calculate the number of be... | First, find the number of red beans.
572 ÷ 4 = 143
Then, find the number of beans that are not red:
572 - 143 = 429
Next, find the number of white beans.
429 ÷ 3 = 143
So, there are 143 white beans.
Now, find the number of remaining beans.
143 + 143 = 286
Then, find the number of green beans.
286 ÷ 2 = 143
Therefore, t... | 143 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answe... | Step 1: First, we calculate the number of red beans. One-fourth of 572 is (1/4) * 572 = 143.
Step 2: Now we calculate the number of beans left after removing the red beans. 572 - 143 = 429.
Step 3: Next, we calculate the number of white beans. One-third of 429 is (1/3) * 429 = 143.
Step 4: We calculate the number of be... | Step 1: First, calculate the total number of red beans: 572 * (1/4) = 143
Step 2: Calculate the total number of beans after removing the red beans: 572 - 143 = 429
Step 3: Calculate the total number of white beans after removing the red beans: 429 * (1/3) = 143
Step 4: Calculate the total number of beans after removing... | 143 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answ... | Step 1: Find the total number of years Wendy spent in an accounting-related job.
Step 2: Find the number of years Wendy spent in an accounting-related job out of her total life.
Step 3: Calculate the percentage.
Step 4: Output the result as: '#### <answer>'
Step 5: Perform the steps.
Step 6: Output the result.
#### 300... | Step 1: Calculate the total number of years Wendy spent in an accounting-related job.
25 years (accountant) + 15 years (accounting manager) = 40 years
Step 2: Calculate the percentage of life spent in an accounting-related job.
40 years / 80 years = 0.5
0.5 * 100% = 50% | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answ... | Step 1: Find the total number of years Wendy spent in an accounting-related job.
Step 2: Find the number of years Wendy spent in an accounting-related job out of her total life.
Step 3: Calculate the percentage.
Step 4: Output the result as: '#### <answer>'
Step 5: Perform the steps.
Step 6: Output the result.
#### 300... | Step 1. Find the total number of years Wendy spent in accounting-related jobs.
Step 2. Calculate the percentage of her life spent in accounting-related jobs.
Step 3. Output the final answer.
Step 1: Total number of years Wendy spent in accounting-related jobs = 25 years (as an accountant) + 15 years (as an accounting ... | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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. Ho... | Step 1: To solve this problem, we first need to determine the number of runners last year. We know that 200 people signed up last year. Let's call the number of runners last year 'x'. Since 40 people did not show up, the total number of people who ran is 'x + 40'. We can set up the equation x + 40 = 200 to represent th... | Step 1: Let x represent the number of people who will run this year.
Step 2: Set up the equation: 200 + 40 = 2x.
Step 3: Solve for x: 240 = 2x, x = 120.
Step 4: The answer is 120.
#### 120 | 320 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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. Ho... | Step 1: To solve this problem, we first need to determine the number of runners last year. We know that 200 people signed up last year. Let's call the number of runners last year 'x'. Since 40 people did not show up, the total number of people who ran is 'x + 40'. We can set up the equation x + 40 = 200 to represent th... | Step 1: Let's say x is the number of runners this year.
Step 2: Since there were twice as many runners as last year, we can write the equation:
x = 2 * 200
Step 3: Now, let's solve the equation:
x = 2 * 200
x = 400
Step 4: So, the number of runners this year is 400. | 320 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 t... | #### 3200
Step-by-step solution:
Step 1: Calculate the total number of fruits on all the trees.
8 trees * 200 fruits = 1600 fruits
Step 2: Calculate the number of fruits picked from each tree.
2/5 * 200 fruits = 80 fruits
Step 3: Calculate the total number of fruits picked from all the trees.
8 trees * 80 fruits = 6... | Step 1: Calculate 2/5 of the number of fruits on each tree.
2/5 * 200 = 80
Step 2: Calculate the total number of fruits remaining in all the trees.
8 * 80 = 640
Therefore, there are 640 oranges remaining in all the trees.
#### 640 | 960 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 t... | #### 3200
Step-by-step solution:
Step 1: Calculate the total number of fruits on all the trees.
8 trees * 200 fruits = 1600 fruits
Step 2: Calculate the number of fruits picked from each tree.
2/5 * 200 fruits = 80 fruits
Step 3: Calculate the total number of fruits picked from all the trees.
8 trees * 80 fruits = 6... | #### 1600
Explanation:
1. First, calculate how many fruits are picked from each tree: 2/5 * 200 = 80.
2. Since each tree has 200 fruits, calculate the total fruits picked from all the trees: 80 * 8 = 640.
3. Calculate the remaining fruits: 2000 - 640 = 1600.
#### <answer> | 960 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: First, let's find the number of deer that have 8 antlers. 10% of 920 deer have 8 antlers. 10% is equal to 0.1. So 0.1 × 920 = 92 deer have 8 antlers.
Step 2: Now we need to find the number of the deer that also have albino fur. A quarter of the number of deer that have 8 antlers also have albino fur. Since 10%... | Step 1: Calculate 10% of 920.
10% of 920 = 0.10 * 920 = 92
Step 2: Calculate a quarter of 92.
A quarter of 92 is 92 / 4 = 23
Step 3: The number of albino 8-antlered deer is equal to the number of deer with 8 antlers.
The number of albino 8-antlered deer = 92
#### 92 | 23 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: First, let's find the number of deer that have 8 antlers. 10% of 920 deer have 8 antlers. 10% is equal to 0.1. So 0.1 × 920 = 92 deer have 8 antlers.
Step 2: Now we need to find the number of the deer that also have albino fur. A quarter of the number of deer that have 8 antlers also have albino fur. Since 10%... | Step 1: First, let's find the number of deer with 8 antlers. 10% of 920 is (10/100) * 920 = 92 deer.
Step 2: Now, let's find the number of deer that have both 8 antlers and albino fur. 1/4 of the number of deer with 8 antlers are albino. Therefore, (1/4) * 92 = 23 deer.
Step 3: The final answer is 23.#### | 23 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Since Allison bought 8 more glue sticks than Marie, we can find out how many glue sticks Allison bought by adding 8 to the number of glue sticks Marie bought.
15 (glue sticks Marie bought) + 8 = 23 (glue sticks Allison bought)
Step 2: Since Marie bought 30 packs of construction paper, we can find out how ... | Step 1: Calculate the number of packs of construction paper Allison bought. 30 packs * 6 = 180 packs. 180 packs + 15 glue sticks = 195.
Step 2: Calculate the number of glue sticks Allison bought. 8 glue sticks + 15 glue sticks = 23.
Step 3: Calculate the total number of craft supply items Allison bought. 23 glue sti... | 28 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Since Allison bought 8 more glue sticks than Marie, we can find out how many glue sticks Allison bought by adding 8 to the number of glue sticks Marie bought.
15 (glue sticks Marie bought) + 8 = 23 (glue sticks Allison bought)
Step 2: Since Marie bought 30 packs of construction paper, we can find out how ... | 1. Calculate the number of glue sticks Allison bought. Since Allison bought 8 more glue sticks than Marie, and Marie bought 15 glue sticks, Allison bought 15 + 8 = 23 glue sticks.
2. Calculate the number of packs of construction paper Allison bought. Since Marie bought 30 packs of construction paper and Allison bought ... | 28 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: First, determine the amount of boring gameplay that is in the main game. If 100 hours is the total and 80% of that is boring, 80% of 100 = 80 hours of boring gameplay.
Step 2: Calculate the amount of enjoyable gameplay from the main game by subtracting the boring gameplay from the main game. Enjoyable gamepla... | Step 1: Calculate 80% of 100 hours to find out how many hours James has to spend grinding.
80% of 100 = 0.80 * 100 = 80 hours.
Step 2: Calculate 30 hours out of the 100 hours to find out how much enjoyable gameplay James gets.
30 / 100 = 0.30
Step 3: The answer is the enjoyable gameplay, which is 30 hours.
#### 3... | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: First, determine the amount of boring gameplay that is in the main game. If 100 hours is the total and 80% of that is boring, 80% of 100 = 80 hours of boring gameplay.
Step 2: Calculate the amount of enjoyable gameplay from the main game by subtracting the boring gameplay from the main game. Enjoyable gamepla... | Step 1: Find the number of hours of boring grinding.
100 hours - 80% of 100 hours = 20 hours
Step 2: Find the number of hours of enjoyable gameplay in the expansion.
Since 100 hours is the full 100% of the game, and the full 100 hours are boring grinding, the 30 hours of enjoyment is 20 hours
30 hours = 20 hours
###... | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Calculate Mara's pink crayons
Mara's 40 crayons are 10 percent pink, so her 40 crayons * 0.10 = 4 pink crayons.
Step 2: Calculate Mara's total crayons
Mara has 40 crayons and 4 of them are pink, so her 40 crayons - 4 pink crayons = 36 crayons.
Step 3: Calculate Luna's pink crayons
Luna's 50 crayons are 20 per... | Step 1: Calculate the number of pink crayons Mara has. 10 percent of 40 crayons is 0.10 x 40 = 4 crayons.
Step 2: Calculate the number of pink crayons Luna has. 20 percent of 50 crayons is 0.20 x 50 = 10 crayons.
Step 3: Add the number of pink crayons Mara and Luna have to get the total. 4 + 10 = 14
#### <14> | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Calculate Mara's pink crayons
Mara's 40 crayons are 10 percent pink, so her 40 crayons * 0.10 = 4 pink crayons.
Step 2: Calculate Mara's total crayons
Mara has 40 crayons and 4 of them are pink, so her 40 crayons - 4 pink crayons = 36 crayons.
Step 3: Calculate Luna's pink crayons
Luna's 50 crayons are 20 per... | First, find out how many pink crayons Mara has. 10 percent of 40 crayons is (10/100)*40 = 4.
Mara has 4 pink crayons.
Next, find out how many pink crayons Luna has. 20 percent of 50 crayons is (20/100)*50 = 10.
Luna has 10 pink crayons.
Finally, find the total number of pink crayons. 4 (Mara) + 10 (Luna) = 14.
#### <14... | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 mor... | Step 1: Calculate the total amount paid over the 20-year period.
The total amount paid on the house is $480,000 + $120,000 = $600,000.
The total amount paid on the trailer is $120,000 + $120,000 = $240,000.
Step 2: Calculate the number of monthly payments.
Since the house costs $480,000 and is paid over 20 years, t... | Step 1: Calculate the total number of months in 20 years.
20 years * 12 months/year = 240 months
Step 2: Calculate the total monthly payment on the house. Divide the cost of the house by the number of months.
$480,000 / 240 months = $2,000 per month
Step 3: Calculate the total monthly payment on the trailer. Divide t... | 1500 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 mor... | Step 1: Calculate the total amount paid over the 20-year period.
The total amount paid on the house is $480,000 + $120,000 = $600,000.
The total amount paid on the trailer is $120,000 + $120,000 = $240,000.
Step 2: Calculate the number of monthly payments.
Since the house costs $480,000 and is paid over 20 years, t... | Step 1: Convert the number of years to months
20 years = 20 x 12 months/year = 240 months
Step 2: Determine the monthly payment for the house
Divide the cost of the house by the number of months to find the monthly payment
$480,000 / 240 months = $2,000 per month
Step 3: Determine the monthly payment for the trailer
Di... | 1500 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Clare's mother gave her $47 to go to the store. Clare bought 4 loaves of bread and 2 cartons of milk. Each loaf of bread cost $2 and each carton of milk cost $2. How much money does Clare h... | Step 1: Calculate the cost of the bread
4 loaves of bread × $2/loaf = $8
Step 2: Calculate the cost of the milk
2 cartons of milk × $2/carton = $4
Step 3: Calculate the total cost of the items
$8 (bread) + $4 (milk) = $12
Step 4: Calculate the amount of money Clare has left
$47 (initial money) - $12 (cost of items) = $... | Step 1: Calculate the cost of the bread. 4 loaves of bread * $2 = $8.
Step 2: Calculate the cost of the milk. 2 cartons of milk * $2 = $4.
Step 3: Calculate the total cost of the items bought. $8 + $4 = $12.
Step 4: Calculate the remaining money by subtracting the cost of items bought from the initial amount. $47 - $12... | 35 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Clare's mother gave her $47 to go to the store. Clare bought 4 loaves of bread and 2 cartons of milk. Each loaf of bread cost $2 and each carton of milk cost $2. How much money does Clare h... | Step 1: Calculate the cost of the bread
4 loaves of bread × $2/loaf = $8
Step 2: Calculate the cost of the milk
2 cartons of milk × $2/carton = $4
Step 3: Calculate the total cost of the items
$8 (bread) + $4 (milk) = $12
Step 4: Calculate the amount of money Clare has left
$47 (initial money) - $12 (cost of items) = $... | Step 1: Calculate the total amount spent on bread.
The total cost of bread = 4 * $2 = $8
Step 2: Calculate the total amount spent on milk.
The total cost of milk = 2 * $2 = $4
Step 3: Calculate the total amount spent.
The total cost = $8 + $4 = $12
Step 4: Calculate how much money Clare has left.
The remaining amount =... | 35 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Calculate the number of seeds that can be planted in the large planters.
20 seeds/planter * 4 planters = 80 seeds
Step 2: Calculate the number of seeds that can be planted in the small planters.
200 seeds - 80 seeds = 120 seeds
Step 3: Calculate the number of small planters needed.
120 seeds / 4 seeds/planter... | Step 1: Count the number of seeds the large planters can hold: 4 planters * 20 seeds/planter = 80 seeds
Step 2: Count the number of seeds the small planters can hold: 200 seeds - 80 seeds = 120 seeds
Step 3: Calculate how many small planters Oshea will need: 120 seeds / 4 seeds/planter = 30 planters
Step 4: Output the ... | 30 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Calculate the number of seeds that can be planted in the large planters.
20 seeds/planter * 4 planters = 80 seeds
Step 2: Calculate the number of seeds that can be planted in the small planters.
200 seeds - 80 seeds = 120 seeds
Step 3: Calculate the number of small planters needed.
120 seeds / 4 seeds/planter... | Step 1: Find the total number of seeds that can be planted in the large planters. 4 large planters can hold 4 x 20 = 80 seeds.
Step 2: Find the number of seeds left to be planted after the large planters are filled. 200 - 80 = 120 seeds left.
Step 3: Find the number of small planters that can be filled with 120 seeds. ... | 30 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: Calculate how many pencils Eric can distribute evenly into 5 containers without any leftovers. To do this, we need to divide the total number of pencils by the number of containers. Let's calculate the number of pencils Eric can evenly distribute into 5 containers.
Step 2: Calculate the number of pencils Eric ... | Step 1: First, let's add the number of pencils Eric has now.
150 + 30 = 180
Step 2: Now, let's divide the total number of pencils by 5.
180 ÷ 5 = 36
The final answer is: #36 | 36 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: Calculate how many pencils Eric can distribute evenly into 5 containers without any leftovers. To do this, we need to divide the total number of pencils by the number of containers. Let's calculate the number of pencils Eric can evenly distribute into 5 containers.
Step 2: Calculate the number of pencils Eric ... | First, let's calculate the total number of pencils Eric has now. We have 150 (initial pencils) + 30 (additional pencils) = 180 pencils.
To find the number of pencils each container can hold, we divide the total number of pencils by the number of containers. 180 / 5 = 36.
The answer is: #36 | 36 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 gu... | Step 1: Determine the number of children originally at the event.
Step 2: Determine the number of children added to the guest list.
Step 3: Calculate the number of children at the event after adding 10 more.
Step 4: Output the final answer as requested.
Step 1: Determine the number of children originally at the event... | Step 1: Calculate the number of women
Number of men = 40
Number of women = 40 / 2 = 20
Step 2: Calculate the total number of guests
Total number of guests = 80 + 40 = 120
Step 3: Calculate the number of children
Number of children = Total number of guests - Number of men - Number of women
Number of children = 120 - 4... | 30 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 gu... | Step 1: Determine the number of children originally at the event.
Step 2: Determine the number of children added to the guest list.
Step 3: Calculate the number of children at the event after adding 10 more.
Step 4: Output the final answer as requested.
Step 1: Determine the number of children originally at the event... | Step 1: Calculate the number of children originally at the event. Since there are 80 guests and 40 of them are men, the number of women is 80 - 40 = 40. Half of 40 is 20, so the number of children originally is 80 - 20 = 60.
Step 2: Add 10 children to the original number of children at the event. The number of children... | 30 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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. H... | Step 1: To find the total number of stamps in Stella's album, we need to calculate the total number of stamps in the pages she has collected.
Step 2: Let's start by finding the number of stamps in the first 10 pages. There are 5 rows of 30 stamps in each of the first 10 pages, so the number of stamps in each of the f... | Step 1. Let x be the number of the pages in the rest of the album.
Step 2. The total number of pages in the first 10 pages is 5 x 10 = 50.
Step 3. The total number of stamps in the first 10 pages is 5(30)x.
Step 4. The total number of stamps in the rest of the album is 50 - 10 = 40.
Step 5. Therefore, 5(30)x + 40 = 50x... | 3500 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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. H... | Step 1: To find the total number of stamps in Stella's album, we need to calculate the total number of stamps in the pages she has collected.
Step 2: Let's start by finding the number of stamps in the first 10 pages. There are 5 rows of 30 stamps in each of the first 10 pages, so the number of stamps in each of the f... | Step 1: Determine the number of stamps in the first 10 pages. Since each page has 5 rows of 30 stamps, the number of stamps in these pages is 5 * 30 = 150.
Step 2: Calculate the number of stamps on the remaining pages. There are 40 remaining pages (50 - 10 = 40). Since each of these pages has 50 stamps, the number of s... | 3500 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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. H... | Step 1: Let x be the number of days that the sprinkler system operates. Then the water is used for 2x minutes in the morning and 2x minutes in the evening.
Step 2: We can express the total time in minutes that the sprinkler system operates as 2x + 2x = 4x, which is equal to 240 minutes per day.
Step 3: We can express t... | Step 1: Let x = number of days to use 50 liters of water
Step 2: The amount of water used by the sprinkler system is 4 x + 6 x, which is equal to 10 x
Step 3: The amount of water used by the sprinkler system per day is 10 x / 2 = 5 x
Step 4: We can write an equation 5x = 50
Step 5: Solving for x, we get x = 50 / 5... | 5 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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. H... | Step 1: Let x be the number of days that the sprinkler system operates. Then the water is used for 2x minutes in the morning and 2x minutes in the evening.
Step 2: We can express the total time in minutes that the sprinkler system operates as 2x + 2x = 4x, which is equal to 240 minutes per day.
Step 3: We can express t... | Step 1: Convert the morning and evening water usage from liters to liters/day.
Morning water usage: 4 liters / 2 days = 2 liters/day
Evening water usage: 6 liters / 1 day = 6 liters/day
Step 2: Calculate the net water usage in the garden per day.
Net water usage = Morning water usage + Evening water usage = 2 liters/da... | 5 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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'... | Step 1: The bus picks Mr. Langsley up at 6:00 a.m. and takes forty minutes to arrive at the first station. This means that Mr. Langsley gets on the bus at 6:00 a.m. and the bus departs at 6:40 a.m.
Step 2: Mr. Langsley arrives at work at 9:00 a.m. 9 - 6 = 3 hours = 180 minutes.
Step 3: Since Mr. Langsley got on the bus... | Step 1: Let's convert 6:00 a.m. to minutes past midnight: 6 hours × 60 minutes/hour = 360 minutes. Step 2: Subtract the time taken to get from home to the first station: 360 - 40 = 320 minutes. Step 3: Now let's add the time taken for Mr. Langsley to get to the workplace: 320 + 9 = 329 minutes.
#### 329 | 140 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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'... | Step 1: The bus picks Mr. Langsley up at 6:00 a.m. and takes forty minutes to arrive at the first station. This means that Mr. Langsley gets on the bus at 6:00 a.m. and the bus departs at 6:40 a.m.
Step 2: Mr. Langsley arrives at work at 9:00 a.m. 9 - 6 = 3 hours = 180 minutes.
Step 3: Since Mr. Langsley got on the bus... | Step 1: Convert 6:00 a.m. to minutes
6 hours * 60 minutes/hour = 360 minutes
6:00 a.m. to 9:00 a.m. = 3 hours * 60 minutes/hour = 180 minutes
Step 2: Calculate the time taken to travel from the first station to work
40 minutes + 180 minutes = 220 minutes
Step 3: Calculate the total time taken from the first station t... | 140 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Calculate the initial total number of cards.
Initial total cards = 4 (cards Janessa has) + 13 (cards given by her father) = 17
Step 2: Calculate the total number of cards after eBay and the bad cards are considered.
Total cards after eBay and bad cards = 17 + 36 - 4 = 49
Step 3: Calculate the total number of ... | Step 1: Add the number of cards Janessa currently has to the number of cards her father gave her. 4 + 13 = 17.
Step 2: Subtract the number of cards Janessa threw away from the total number of cards she had. 17 - 4 = 13.
Step 3: Subtract the number of cards Dexter received from the number of cards Janessa kept. 13 - 29 ... | 20 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Calculate the initial total number of cards.
Initial total cards = 4 (cards Janessa has) + 13 (cards given by her father) = 17
Step 2: Calculate the total number of cards after eBay and the bad cards are considered.
Total cards after eBay and bad cards = 17 + 36 - 4 = 49
Step 3: Calculate the total number of ... | Step 1: First, let's calculate the total number of cards Janessa had initially.
4 (cards she kept for herself) + 13 (cards her father gave her) = 17 cards
Step 2: Next, let's calculate the total number of cards after Janessa ordered more cards from eBay.
17 (cards she had) + 36 (cards she ordered) = 53 cards
Step 3: No... | 20 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: John buys 3 barbells and gives $850 and gets $40 in change. How much did each barbell cost?
Answer:
| Step 1: Let's say the cost of each barbell is x.
Step 2: John buys 3 barbells, so the total cost of the barbells is 3x.
Step 3: John gives $850 and gets $40 in change, so the total cost of the barbells is equal to the amount of money he gave - the change he received.
3x = 850 - 40
Step 4: Simplifying the equation, we g... | Step 1: Calculate the total amount spent by John on barbells.
$850 (initial money) - $40 (change) = $810
Step 2: Calculate the cost of each barbell.
Total cost / Total number of barbells = Cost of each barbell
$810 / 3 = $270
#### $270 | 270 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: John buys 3 barbells and gives $850 and gets $40 in change. How much did each barbell cost?
Answer:
| Step 1: Let's say the cost of each barbell is x.
Step 2: John buys 3 barbells, so the total cost of the barbells is 3x.
Step 3: John gives $850 and gets $40 in change, so the total cost of the barbells is equal to the amount of money he gave - the change he received.
3x = 850 - 40
Step 4: Simplifying the equation, we g... | Step 1: Calculate the total amount John spent.
$850 (given) + $40 (change) = $890.
Step 2: Divide the total amount John spent by the number of barbells to find the cost of each barbell.
$890 / 3 barbells = $297 per barbell.
#### <answer> | 270 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1. Let x = the number of cherry sodas.
Step 2. Since there are twice as many cans of orange pop as there are of cherry soda, the number of orange sodas is 2x.
Step 3. The total number of cans is 24, which means x + 2x = 24.
Step 4. Combine like terms, we get 3x = 24.
Step 5. Divide both sides by 3, we get x = 8.
S... | Let C = number of cherry sodas
Let O = number of orange pop
Given that there are twice as many cans of orange pop as there are of cherry soda, so
O = 2C
The total number of cans is 24, so
C + O = 24
Substituting O = 2C into the first equation, we get
C + 2C = 24
3C = 24
C = 8
The number of cherry sodas is C = 8
#### <8... | 8 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1. Let x = the number of cherry sodas.
Step 2. Since there are twice as many cans of orange pop as there are of cherry soda, the number of orange sodas is 2x.
Step 3. The total number of cans is 24, which means x + 2x = 24.
Step 4. Combine like terms, we get 3x = 24.
Step 5. Divide both sides by 3, we get x = 8.
S... | Step 1: Define the number of cans of cherry soda as x and the number of cans of orange pop as 2x
Step 2: Set up an equation to represent the total number of cans of soda, which is x + 2x = 24
Step 3: Combine the terms on the left-hand side, resulting in 3x = 24
Step 4: Divide both sides by 3, yielding x = 8
Step 5:... | 8 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Convert the study time of Kwame and Connor to minutes. Kwame = 2.5 hours * 60 minutes/hour = 150 minutes. Connor = 1.5 hours * 60 minutes/hour = 90 minutes.
Step 2: Find the total study time of Kwame and Connor. Total study time = Kwame's study time + Connor's study time = 150 minutes + 90 minutes = 240 minutes... | Step 1: Convert all study times to minutes.
Kwame = 2.5 hours × 60 minutes/hour = 150 minutes
Connor = 1.5 hours × 60 minutes/hour = 90 minutes
Lexia = 97 minutes
Step 2: Calculate the difference in study times between Kwame and Connor and Lexia.
Kwame - Lexia = 150 - 97 = 53 minutes
Connor - Lexia = 90 - 97 = -7 minut... | 143 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Convert the study time of Kwame and Connor to minutes. Kwame = 2.5 hours * 60 minutes/hour = 150 minutes. Connor = 1.5 hours * 60 minutes/hour = 90 minutes.
Step 2: Find the total study time of Kwame and Connor. Total study time = Kwame's study time + Connor's study time = 150 minutes + 90 minutes = 240 minutes... | ## Step 1: Convert all study times to the same units
Kwame studied for 2.5 hours, Connor studied for 1.5 hours, and Lexia studied for 97 minutes.
## Step 2: Convert the study time of Kwame and Connor to minutes
Kwame studied for 2.5 * 60 minutes = 150 minutes.
Connor studied for 1.5 * 60 minutes = 90 minutes.
## Step... | 143 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 lef... | Step 1: Find the total amount of milk collected today.
Step 2: Add the leftover milk from yesterday to the total amount of milk collected today.
Step 3: Subtract the amount of milk sold from the total amount collected today to find the amount of milk left.
Step 1: Find the total amount of milk collected today.
365... | First, find the total number of milk gallons Aunt May got today. 365 + 380 = 745 gallons. 745 - 612 = 133 gallons.
She had 15 gallons left over, so subtract that from 133 to get 118 gallons.
#### <118> | 148 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 lef... | Step 1: Find the total amount of milk collected today.
Step 2: Add the leftover milk from yesterday to the total amount of milk collected today.
Step 3: Subtract the amount of milk sold from the total amount collected today to find the amount of milk left.
Step 1: Find the total amount of milk collected today.
365... | Step 1: Start by adding up the amount of milk Aunt May got in the morning and the evening: 365 + 380 = 745.
Step 2: Subtract the amount of milk she sold from the total: 745 - 612 = 133.
Step 3: Add the leftover amount from yesterday to the new total: 133 + 15 = 148.
#### <148> | 148 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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?
Answer:
| Step 1: Let's assign the variables. Mehki's age = M, Jordyn's age = J, Zrinka's age = Z.
Step 2: We have two given equations. First, Mehki is 10 years older than Jordyn, so M = J + 10. Second, Jordyn's age is double Zrinka's age, so J = 2Z. Step 3: We can substitute J = 2Z into the first equation M = J + 10 to get M = ... | First, find Jordyn's age.
Jordyn's age = 2 * Zrinka's age
Jordyn's age = 2 * 6
Jordyn's age = 12 years old
Next, find Mehki's age.
Mehki's age = Zrinka's age + 10
Mehki's age = 6 + 10
Mehki's age = 16 years old.
#### 16 | 22 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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?
Answer:
| Step 1: Let's assign the variables. Mehki's age = M, Jordyn's age = J, Zrinka's age = Z.
Step 2: We have two given equations. First, Mehki is 10 years older than Jordyn, so M = J + 10. Second, Jordyn's age is double Zrinka's age, so J = 2Z. Step 3: We can substitute J = 2Z into the first equation M = J + 10 to get M = ... | ## Step 1: Determine Zrinka's age
Zrinka is 6 years old.
## Step 2: Determine Jordyn's age
Jordyn's age is double Zrinka's age. Jordyn's age is 2 * Zrinka's age = 2 * 6 = 12 years old.
## Step 3: Determine Mehki's age
Mehki is 10 years older than Jordyn. Mehki's age is Jordyn's age + 10 years = 12 + 10 = 22 years old... | 22 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Let's start by determining the number of passengers a train with 16 cars can carry. If each car can carry 60 passengers, then the total number of passengers the train can carry is 16 * 60 = 960.
Step 2: Next, let's calculate the number of passengers 2 airplanes can carry. Since each airplane can carry 366 p... | Step 1: Calculate the number of passengers a 747 airplane can carry. 2 * 366 = 732 passengers.
Step 2: Calculate the number of passengers a train with 16 cars can carry. 16 * 60 = 960 passengers.
Step 3: Calculate the difference between the number of passengers the train can carry and the number of passengers the 2 air... | 228 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Let's start by determining the number of passengers a train with 16 cars can carry. If each car can carry 60 passengers, then the total number of passengers the train can carry is 16 * 60 = 960.
Step 2: Next, let's calculate the number of passengers 2 airplanes can carry. Since each airplane can carry 366 p... | Step 1: Calculate the total number of passengers that a 16-car train can carry. We multiply the number of passengers per train car by the number of cars: 60 passengers/car * 16 cars = 960 passengers.
Step 2: Calculate the total number of passengers that 2 airplanes can carry. We multiply the number of passengers per ai... | 228 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Calculate the total number of students Adam teaches over 9 years, excluding the first year.
Total students over 9 years = 50 students/year * 9 years = 450 students
Step 2: Calculate the number of students Adam teaches in the first year.
Total students in the first year = 40 students
Step 3: Add the number of st... | Step 1: Calculate how many students Adam teaches each year on average.
Step 2: Calculate the number of students Adam will teach in 10 years.
Step 3: Calculate the total number of students Adam will teach in 10 years.
Step 4: Output the final answer.
Step 1:
Number of students taught each year = 50 - 40 = 10
Step 2:
Nu... | 490 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Calculate the total number of students Adam teaches over 9 years, excluding the first year.
Total students over 9 years = 50 students/year * 9 years = 450 students
Step 2: Calculate the number of students Adam teaches in the first year.
Total students in the first year = 40 students
Step 3: Add the number of st... | ## Step 1: Calculate the change in the number of students per year.
Adam originally teaches 50 students, but in the first year, he teaches only 40 students. Therefore, the change in the number of students per year is 50 - 40 = 10.
## Step 2: Determine the number of years for which the change in students per year remai... | 490 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: To solve this problem, let's assign variables to each of the unknowns. We'll call the tallest tree "T," the middle sized tree "M," and the smallest tree "S".
Step 2: We know that the tallest tree is 108 feet. So, T = 108.
Step 3: The middle sized tree is 6 feet less than half the height of the tallest tree... | Step 1: Let x represent the height of the middle-sized tree. The height of the tallest tree is 108. The height of the middle-sized tree is half the height of the tallest tree, or 108/2 = 54. The height of the smallest tree is 1/4 the height of the middle-sized tree, or 54/4 = 13.5 feet.
Step 2: Since the problem as... | 12 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: To solve this problem, let's assign variables to each of the unknowns. We'll call the tallest tree "T," the middle sized tree "M," and the smallest tree "S".
Step 2: We know that the tallest tree is 108 feet. So, T = 108.
Step 3: The middle sized tree is 6 feet less than half the height of the tallest tree... | Step 1: Let the height of the tallest tree be x.
Step 2: The height of the middle tree is (x/2) - 6.
Step 3: The height of the smallest tree is (x/4) - 1.
Step 4: Substitute (x/2) - 6 for the middle tree height into the equation for the smallest tree height: (x/4) - 1 = (x/2) - 6
Step 5: Multiply both sides of the equa... | 12 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: First, we need to convert the time into minutes. One hour is equal to 60 minutes.
Step 2: Let's calculate how many towels each person can fold in one hour.
Step 3: Jane can fold 3 towels in 5 minutes, so she can fold 3/5 = 0.6 towels in one minute.
Step 4: In one hour (60 minutes), Jane can fold 0.6 * 60 = 36... | Step 1: Jane's time = 5 minutes
Step 2: Kyla's time = 10 minutes
Step 3: Anthony's time = 20 minutes
Step 4: Total time = 5 + 10 + 20 = 35 minutes
Step 5: Each person's time per hour = 35 minutes / 60 minutes
Step 6: Each person can fold 7 / 60 = 1/8 of a towel per hour
Step 7: Total number of towels folded in a... | 87 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: First, we need to convert the time into minutes. One hour is equal to 60 minutes.
Step 2: Let's calculate how many towels each person can fold in one hour.
Step 3: Jane can fold 3 towels in 5 minutes, so she can fold 3/5 = 0.6 towels in one minute.
Step 4: In one hour (60 minutes), Jane can fold 0.6 * 60 = 36... | Step 1: Let's first determine how many towels each person can fold in one hour.
Step 2: Since they all fold towels together, we'll add the number of towels each person can fold in one hour.
Step 3: Jane can fold 3 towels in 5 minutes, so in one hour she can fold 3 * 60 = 180 towels.
Step 4: Kyla can fold 5 towels... | 87 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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-shirt... | Step 1: Determine the number of white T-shirts Dave bought.
Since Dave bought 3 packs of white T-shirts and each pack contains 6 T-shirts, he bought 3 * 6 = 18 white T-shirts.
Step 2: Determine the number of blue T-shirts Dave bought.
Since Dave bought 2 packs of blue T-shirts and each pack contains 4 T-shirts, he bou... | Step 1: First, calculate the number of white T-shirts: 3 packs * 6 T-shirts per pack = 18 T-shirts.
Step 2: Then, calculate the number of blue T-shirts: 2 packs * 4 T-shirts per pack = 8 T-shirts.
Step 3: Finally, add the total number of white and blue T-shirts: 18 + 8 = 26 T-shirts. The final answer is 26. | 26 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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-shirt... | Step 1: Determine the number of white T-shirts Dave bought.
Since Dave bought 3 packs of white T-shirts and each pack contains 6 T-shirts, he bought 3 * 6 = 18 white T-shirts.
Step 2: Determine the number of blue T-shirts Dave bought.
Since Dave bought 2 packs of blue T-shirts and each pack contains 4 T-shirts, he bou... | Step 1: Identify the number of each type of T-shirt purchased: 3 packs of white T-shirts and 2 packs of blue T-shirts.
Step 2: Determine the number of T-shirts in each pack: 3 packs of white T-shirts have 3 x 6 = 18 white T-shirts, and 2 packs of blue T-shirts have 2 x 4 = 8 blue T-shirts.
Step 3: Calculate the total n... | 26 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: First, we need to identify the given information.
- Total number of fish caught = 36
- Kyle caught the same number of fish as Tasha
- Carla caught 8 fish
Step 2: Since Kyle and Tasha caught the same number of fish, we can denote the number of fish caught by both of them as 'x'.
Step 3: Therefore, the equatio... | Step 1: Let's assign variables to the unknowns. Let x be the number of fish that Kyle caught.
Step 2: Since Carla caught 8 fish, and Kyle and Tasha caught the same number of fish, we know that x + x = 36 - 8.
Step 3: The equation can be simplified to 2x = 28.
Step 4: To solve for x, divide both sides of the equation by... | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: First, we need to identify the given information.
- Total number of fish caught = 36
- Kyle caught the same number of fish as Tasha
- Carla caught 8 fish
Step 2: Since Kyle and Tasha caught the same number of fish, we can denote the number of fish caught by both of them as 'x'.
Step 3: Therefore, the equatio... | Step 1: Since Kyle and Tasha caught the same number of fish, let's assume that Tasha caught y fish.
Step 2: We know that Carla caught 8 fish, so together Kyle and Tasha caught 36 - 8 = 28 fish.
Step 3: Since they caught the same number of fish, we can set up the equation y = 28.
Step 4: To find the value of y, we c... | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: First, let's find the number of pallets of paper towels. Half of the 20 pallets are paper towels, so paper towels = 20 / 2 = 10 pallets.
Step 2: Next, let's find the number of pallets of tissues. A quarter of the 20 pallets are tissues, so tissues = 20 / 4 = 5 pallets.
Step 3: Next, let's find the number of pal... | Step 1: Calculate the total number of pallets of paper products.
20 pallets * 3 types = 60 pallets
Step 2: Calculate the number of pallets of each type.
Paper towels: 20 pallets * 0.5 = 10 pallets
Tissues: 20 pallets * 0.25 = 5 pallets
Paper plates: 20 pallets * 0.2 = 4 pallets
Step 3: Calculate the total number of p... | 1 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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... | Step 1: First, let's find the number of pallets of paper towels. Half of the 20 pallets are paper towels, so paper towels = 20 / 2 = 10 pallets.
Step 2: Next, let's find the number of pallets of tissues. A quarter of the 20 pallets are tissues, so tissues = 20 / 4 = 5 pallets.
Step 3: Next, let's find the number of pal... | Step 1: Calculate the number of pallets of paper products other than paper cups. Half the pallets were paper towels and a quarter were tissues. Half is 1/2 = 0.5 and a quarter is 1/4 = 0.25. Therefore, 0.5 + 0.25 = 0.75 of the pallets are paper towels and tissues.
Step 2: Calculate the number of pallets of paper p... | 1 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Calculate the total number of popsicle sticks given to the groups.
15 popsicle sticks per group × 10 groups = 150 popsicle sticks
Step 2: Subtract the total number of popsicle sticks given to the groups from the total number of popsicle sticks Miss Davis had initially.
170 popsicle sticks - 150 popsicle sticks ... | Step 1: Count the total number of popsicle sticks given away to the 10 groups. 15 sticks/group x 10 groups = 150 sticks.
Step 2: Subtract the number of sticks given away from the original number of sticks. 170 sticks - 150 sticks = 20 sticks.
The final answer is: #20 | 20 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: Calculate the total number of popsicle sticks given to the groups.
15 popsicle sticks per group × 10 groups = 150 popsicle sticks
Step 2: Subtract the total number of popsicle sticks given to the groups from the total number of popsicle sticks Miss Davis had initially.
170 popsicle sticks - 150 popsicle sticks ... | Step 1: Calculate the total number of popsicle sticks given to the groups. 10 groups * 15 sticks per group = 150
Step 2: Determine how many popsicle sticks Miss Davis has left by subtracting the number of sticks given to the groups from the total number of sticks she had. 170 - 150 = 20
#### <20> | 20 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | First, find the number of seashells Ali had left after giving 40 seashells to his friends. Ali had 180 seashells initially. After giving 40 seashells, he had 180 - 40 = 140 seashells left. He gave 30 seashells to his brothers, so he had 140 - 30 = 110 seashells left.
If he sold half of the remaining seashells, he sold ... | Step 1: Calculate the total number of seashells Ali gave away.
40 + 30 = 70 seashells given away.
Step 2: Calculate the number of seashells Ali had left after giving away the seashells.
180 - 70 = 110 seashells left.
Step 3: Calculate the number of seashells Ali sold.
110 / 2 = 55 seashells sold.
Step 4: Calculat... | 55 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | First, find the number of seashells Ali had left after giving 40 seashells to his friends. Ali had 180 seashells initially. After giving 40 seashells, he had 180 - 40 = 140 seashells left. He gave 30 seashells to his brothers, so he had 140 - 30 = 110 seashells left.
If he sold half of the remaining seashells, he sold ... | Step 1: Start with the initial number of seashells: 180
Step 2: Calculate the number of seashells given away: 40 (to friends) + 30 (to brothers) = 70 seashells
Step 3: Subtract the number of seashells given away from the initial number: 180 - 70 = 110 seashells
Step 4: Calculate the number of seashells sold: 110 / 2 = ... | 55 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: James buys 6 t-shirts for 50% off. They each cost $20. How much did he pay?
Answer:
| Step 1: Calculate the total cost of the t-shirts before the discount.
Total cost = number of t-shirts * cost per t-shirt
= 6 * 20
= 120
Step 2: Calculate the discount amount.
Discount = total cost * discount percentage
= 120 * 50%
= 120 * 0.5
= 60
Step 3: Calculate the final amount James paid.
Amount paid = total cos... | Step 1: Find 50% of $20
= $20 * 0.5
= $10
Step 2: Subtract 50% of the cost from the original cost
= $20 - $10
= $10
Therefore, James paid $10. | 60 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: James buys 6 t-shirts for 50% off. They each cost $20. How much did he pay?
Answer:
| Step 1: Calculate the total cost of the t-shirts before the discount.
Total cost = number of t-shirts * cost per t-shirt
= 6 * 20
= 120
Step 2: Calculate the discount amount.
Discount = total cost * discount percentage
= 120 * 50%
= 120 * 0.5
= 60
Step 3: Calculate the final amount James paid.
Amount paid = total cos... | Step 1: Find the discount on the shirts. 50% of 6 is 3. So the shirts cost 6-3 = $3 each.
Step 2: Find the total cost of the shirts. 6 shirts at $3 each is 6 x $3 = $18.
Step 3: Find the final cost. 6 shirts at $3 each is $18.
Step 4: Output the final answer. # $18. | 60 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Let x represent the cost of each art book. We can set up an equation based on the information given.
Step 2: The cost of math books is 2 × 3 = $6. The cost of art books is 3x. The cost of science books is 6 × 3 = $18. We can set up an equation representing the total cost of the books: 6 + 3x + 18 = 30.
Step 3... | Let's use algebra. Let $a$ be the cost of each art book. Alicia bought 3 art books, so the total cost is $3a(3) = 9a$. Since this is equal to $30, we have
$$9a = 30 \Rightarrow \frac{30}{9} = a$$
Substituting this expression for $a$ into the equation $2m + 3a = 6$, we get
$$2m + 3 \left( \frac{30}{9} \right) = 6$$
$$2m... | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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 ... | Step 1: Let x represent the cost of each art book. We can set up an equation based on the information given.
Step 2: The cost of math books is 2 × 3 = $6. The cost of art books is 3x. The cost of science books is 6 × 3 = $18. We can set up an equation representing the total cost of the books: 6 + 3x + 18 = 30.
Step 3... | Step 1: Let's use the variable x to represent the cost of each art book.
Step 2: Alicia bought 3 art books, so the total amount of money she spent on art books is 3x.
Step 3: Alicia bought 2 math books and 6 science books, for a total of $30. Therefore, 2x + 6(3) = 30.
Step 4: Simplify the equation. 2x + 18 = 30.
Step ... | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: First, we need to find the total number of pens initially in the jar. To do this, we add the number of blue pens, black pens, and red pens.
Total pens initially = 9 (blue pens) + 21 (black pens) + 6 (red pens) = 36 pens
Step 2: Next, we calculate the number of pens left after four blue pens are removed.
... | Step 1: The number of blue pens remaining in the jar is 9 - 4 = 5
Step 2: The number of black pens remaining in the jar is 21 - 7 = 14
Step 3: The number of red pens remaining in the jar is 6
Final Answer: #### 5. | 25 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <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?
Answer:
| Step 1: First, we need to find the total number of pens initially in the jar. To do this, we add the number of blue pens, black pens, and red pens.
Total pens initially = 9 (blue pens) + 21 (black pens) + 6 (red pens) = 36 pens
Step 2: Next, we calculate the number of pens left after four blue pens are removed.
... | First, we calculate the initial number of pens in the jar: 9 blue + 21 black + 6 red = 36 pens.
Then, we subtract the number of blue pens removed: 9 blue - 4 blue = 5 blue.
Next, we subtract the number of black pens removed: 21 black - 7 black = 14 black.
Finally, we subtract the number of remaining blue and black p... | 25 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Three siblings are born 5 years apart, each. If the eldest child is 20 years old now, what's the total of the ages of the three siblings 10 years from now?
Answer:
| Step 1: Calculate the current ages of the three siblings.
Step 2: Calculate the ages of the three siblings 10 years from now.
Step 3: Add the ages of the three siblings 10 years from now.
Step 4: Output the total age.
Current ages of the siblings:
- Eldest child: 20 years
- Middle child: 20 - 5 = 15 years
- Youngest c... | Step 1: The eldest child is 20 years old now, and the second eldest is 5 years younger than the eldest.
So, the second eldest is 20 - 5 = 15 years old now.
Step 2: The youngest is 5 years younger than the second eldest.
So, the youngest is 15 - 5 = 10 years old now.
Step 3: Ten years from now, the eldest wil... | 75 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Three siblings are born 5 years apart, each. If the eldest child is 20 years old now, what's the total of the ages of the three siblings 10 years from now?
Answer:
| Step 1: Calculate the current ages of the three siblings.
Step 2: Calculate the ages of the three siblings 10 years from now.
Step 3: Add the ages of the three siblings 10 years from now.
Step 4: Output the total age.
Current ages of the siblings:
- Eldest child: 20 years
- Middle child: 20 - 5 = 15 years
- Youngest c... | Step 1: Find the age of the middle child. Since the eldest child is 20 years old, and the three siblings are born 5 years apart, the middle child is 20 + 5 = 25 years old.
Step 2: Find the age of the youngest child. Since the middle child is 25 years old, and the three siblings are born 5 years apart, the youngest chil... | 75 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Michael saved 5 of his cookies to give Sarah, who saved a third of her 9 cupcakes to give to Michael. How many desserts does Sarah end up with?
Answer:
| Step 1: First, let's figure out how many cookies Sarah saved for Michael. Since she saved a third of her 9 cupcakes to give to Michael, and a third is 3, she saved 3 cookies for Michael.
Step 2: Next, we determine how many cupcakes Sarah has left after giving Michael 3 cookies. Since there were originally 9 cupcakes,... | Step 1: Let x represent the number of cupcakes that Michael has.
Step 2: Sarah has a third of her 9 cupcakes, so she has 9(1/3) = 3 cupcakes.
Step 3: Michael saves 5 of his cookies for Sarah.
Step 4: The number of desserts that Sarah ends up with is her original 9 cupcakes plus her 3 cupcakes plus the 5 cookies, which ... | 11 |
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