hwanuk16/assn2-dpo-best
Text Generation • 1B • Updated • 12
prompt stringlengths 216 807 | chosen stringlengths 509 2.1k | rejected stringlengths 94 1.49k | answer stringclasses 181
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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: Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he hav... | To determine the total number of pets Frankie has, we need to break down the problem step by step.
1. Identify the number of dogs Frankie has:
\[
\text{Number of dogs} = 2
\]
2. Determine the number of pets with four legs. Since Frankie has 2 dogs and 6 pets with four legs in total, the number of cats must b... | Step 1: Define variables for the number of cats and dogs.
Let C be the number of cats. Let D be the number of dogs.
Step 2: Since Frankie has 6 more snakes than cats, the number of snakes is C + 6.
Step 3: Frankie has 1 less parrot than cats. So, the number of parrots is C - 1.
Step 4: The total number of pets that hav... | 19 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he hav... | To determine the total number of pets Frankie has, we need to break down the problem step by step.
1. Identify the number of dogs Frankie has:
\[
\text{Number of dogs} = 2
\]
2. Determine the number of pets with four legs. Since Frankie has 2 dogs and 6 pets with four legs in total, the number of cats must b... | Step 1: Let's denote the number of cats as C and the number of snakes as S. Then, the number of parrots would be P = C - 1.
Step 2: The total number of four-legged pets is S + 6, as six of his pets have four legs and we don't know the exact number of cats. Frankie has 2 dogs, so the number of four-legged pets, S + 6,... | 19 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Olaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars a... | To determine the total number of toy cars Olaf has after receiving gifts from his family, we need to calculate the number of toy cars each family member gave him and then sum them up.
1. **Determine the number of toy cars given by each family member:**
- Let's denote the number of toy cars given by the uncle as \( ... | Step 1: Let's denote the number of toy cars given by the uncle as U
Step 2: Grandpa gave 2U toy cars
Step 3: Mum gave 5 + 1 = 6 toy cars
Step 4: Auntie gave 6 + 1 = 7 toy cars
Step 5: Dad gave 10 - 5 = 5 toy cars
Step 6: Now, we will calculate the total number of toy cars Olaf has in his collection. To do this, we shou... | 196 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Olaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars a... | To determine the total number of toy cars Olaf has after receiving gifts from his family, we need to calculate the number of toy cars each family member gave him and then sum them up.
1. **Determine the number of toy cars given by each family member:**
- Let's denote the number of toy cars given by the uncle as \( ... | Let's denote the number of cars the uncle gave Olaf as x.
Grandpa gave Olaf twice as many cars as the uncle, which means he gave him 2x cars.
Dad gave Olaf 10 toy cars, 5 less than the Mum, so Mum gave him 15 toy cars.
Auntie gave Olaf 6 toy cars, 1 more than the uncle, which means the uncle gave him 5 toy cars.
We no... | 196 |
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... | To determine how many dollars remain in Emma's bank account after she withdraws as many $5 bills as possible, we can follow these steps:
1. **Calculate the total amount Emma spends in a week:**
Emma spends $8 each day, and there are 7 days in a week.
\[
8 \text{ dollars/day} \times 7 \text{ days} = 56 \text{ ... | Step 1: Emma's bank account had $100 in it initially. She spent $8 each day of the week, which is 7 days.
Step 2: She spent $8 each day for 7 days, so she spent a total of $8 * 7 = $56.
Step 3: The amount of money in her account after this is $100 - $56 = $44.
Step 4: She wants to give the bank as many $5 bills as pos... | 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... | To determine how many dollars remain in Emma's bank account after she withdraws as many $5 bills as possible, we can follow these steps:
1. **Calculate the total amount Emma spends in a week:**
Emma spends $8 each day, and there are 7 days in a week.
\[
8 \text{ dollars/day} \times 7 \text{ days} = 56 \text{ ... | Step 1: Calculate the amount spent by Emma each day
Total amount in the account = $100
Daily expenditure = $8
Daily amount spent = $8
Step 2: Determine the total amount spent by the end of the week
Total days in the week = 7
Daily amount spent = $8
Total amount spent by the end of the week = Daily amount spent × Total... | 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... | To determine how many kilometers Ezekiel had to hike on the third day, we need to break down the total distance he hiked over the three days and calculate the remaining distance after the first two days.
1. **Total distance of the hike:**
\[
50 \text{ kilometers}
\]
2. **Distance covered on the first day:**
... | Let’s represent Ezekiel’s hikes on the third day as x km.
From day 1 and day 2, Ezekiel covers a total of 10 + x km.
From day 1 to day 2, Ezekiel covered 50 – 10 = 40 km.
So, the equation for Ezekiel’s total hike is 40 + x = 50
Solving the equation, x = 10
Therefore, Ezekiel had to hike 10 km on the third day to finish... | 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... | To determine how many kilometers Ezekiel had to hike on the third day, we need to break down the total distance he hiked over the three days and calculate the remaining distance after the first two days.
1. **Total distance of the hike:**
\[
50 \text{ kilometers}
\]
2. **Distance covered on the first day:**
... | Step 1. Determine the total distance of the hike.
Step 2. Determine the distance covered on the first day.
Step 3. Determine the distance covered on the second day.
Step 4. Determine the distance remaining on the hike to be finished.
Step 5. Subtract the distance covered on the first and second days from the total dist... | 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... | ```
To determine the number of tins James collects each day for the rest of the week, we need to follow these steps:
1. Calculate the number of tins collected on the first three days.
2. Determine the total number of tins collected over the first three days.
3. Subtract the total number of tins collected over the firs... | #### 50 + 3(50) - 50 = 250
#### 250 + 2(250) = 750
#### 750 + 5(750) = 3750
#### 3750 + 10(3750) = 37500
#### 37500 + 15(3750) = 168750
#### 168750 + 21(168750) = 3561250
#### 3561250 + 28(3561250) = 1239322000
#### 1239322000. | 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... | ```
To determine the number of tins James collects each day for the rest of the week, we need to follow these steps:
1. Calculate the number of tins collected on the first three days.
2. Determine the total number of tins collected over the first three days.
3. Subtract the total number of tins collected over the firs... | Step 1: Identify the number of tins James collected each day in the first three days.
Day 1: 50 tins
Day 2: 50 × 3 = 150 tins
Day 3: 150 - 50 = 100 tins
Step 2: Calculate the number of days left for collecting tins. Since there are 5 days in a week, there are 7 - 3 = 4 days left.
Step 3: Determine the number of tins J... | 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... | To determine Don's final score from the three dart throws, we need to calculate the points for each throw and then sum them up.
1. The first dart is a bullseye, which is worth 50 points.
2. The second dart completely missed the target, so it received 0 points.
3. The third dart was worth half the points of the bullsey... | Step 1: The bullseye is worth 50 points. So the missing dart is worth 0 points. The third dart is worth half the points of the bullseye. So the third dart is worth 25 points.
Step 2: The total points from the 3 darts are 50 + 0 + 25 = 75 points.
Step 3: The final answer is 75. | 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... | To determine Don's final score from throwing three darts, we need to calculate the points for each dart and then sum them up.
1. The first dart is a bullseye, which is worth 50 points.
2. The second dart completely missed the target, so it received 0 points.
3. The third dart was worth half the points of the bullseye.... | Step 1: The bullseye is worth 50 points. So the missing dart is worth 0 points. The third dart is worth half the points of the bullseye. So the third dart is worth 25 points.
Step 2: The total points from the 3 darts are 50 + 0 + 25 = 75 points.
Step 3: The final answer is 75. | 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... | To determine the total width of the splashes TreQuan makes, we need to calculate the width of the splashes for each type of rock and then sum them up.
First, let's calculate the total width of the splashes made by the pebbles:
- Each pebble makes a splash that is \(\frac{1}{4}\) meter wide.
- TreQuan tosses 6 pebbles.... | Step 1: We need to find the total width of the splashes.
Step 2: We know that each pebble makes a 1/4 meter wide splash, 3 rocks make a 1/2 meter wide splash, and 2 boulders make a 2-meter wide splash.
Step 3: We will first calculate the total width of the individual splashes.
Step 4: The number of pebbles is 6, so... | 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... | To determine the total width of the splashes TreQuan makes, we need to calculate the width of the splashes for each type of rock and then sum them up.
First, let's calculate the total width of the splashes made by the pebbles:
- Each pebble makes a splash that is \(\frac{1}{4}\) meter wide.
- TreQuan tosses 6 pebbles.... | Step 1: Calculate the total width of the splashes made by the pebbles.
The total width of the splashes made by the pebbles is equal to the number of pebbles multiplied by the width of the splash made by each pebble, i.e., 6 * 1/4 = 1.5 meters.
Step 2: Calculate the total width of the splashes made by the rocks.
The to... | 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... | To determine how many omelets each person gets, we need to follow these steps:
1. Calculate the total number of eggs Pauly has.
2. Determine how many omelets can be made with the total number of eggs.
3. Divide the total number of omelets by the number of people to find out how many omelets each person gets.
Let's st... | ## Step 1: Calculate the total number of eggs
First, we need to calculate the total number of eggs. Since there are three dozen eggs, we convert the dozen to individual eggs by multiplying 12 by 4 (since each dozen has 12 eggs and each egg requires 4 to make an omelet). Therefore, the total number of eggs is 3 * 12 * 4... | 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... | To determine how many omelets each person gets, we need to follow these steps:
1. **Calculate the total number of eggs Pauly has:**
Pauly has three dozen eggs. Since one dozen equals 12 eggs, we multiply:
\[
3 \times 12 = 36 \text{ eggs}
\]
2. **Determine how many omelets Pauly can make:**
Each omelet ... | ## Step 1: Calculate the total number of eggs
First, we need to calculate the total number of eggs. Since there are three dozen eggs, we convert the dozen to individual eggs by multiplying 12 by 4 (since each dozen has 12 eggs and each egg requires 4 to make an omelet). Therefore, the total number of eggs is 3 * 12 * 4... | 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... | Let's determine the height of each stack of wooden blocks step by step.
1. **First stack:**
- The first stack is 7 blocks tall.
\[
\text{Height of the first stack} = 7
\]
2. **Second stack:**
- The second stack is 3 blocks taller than the first stack.
\[
\text{Height of the second stack} = 7 + 3 ... | Let the number of blocks in the first stack be X.
Then the number of blocks in the second stack is X + 3.
Then the number of blocks in the third stack is (X + 3) - 6 = X - 3.
Then the number of blocks in the fourth stack is (X - 3) + 10 = X + 7.
Then the number of blocks in the fifth stack is 2(X + 3).
So the total num... | 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... | Let's determine the height of each stack of wooden blocks step by step.
1. **First stack:**
- The first stack is 7 blocks tall.
\[
\text{Height of the first stack} = 7
\]
2. **Second stack:**
- The second stack is 3 blocks taller than the first stack.
\[
\text{Height of the second stack} = 7 + 3 ... | Step 1:
Let's represent the number of blocks in the first stack by \(x\). The second stack will be \(x+3\), the third stack will be \((x+3)+6= x+9\), the fourth stack will be \((x+9)+10= x+19\), and the fifth stack will be \((x+19)\times 2 = 2x+38\).
Step 2:
We have to calculate the total number of blocks:
\(x + (x... | 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... | To determine the weight of each of Trace's shopping bags, we start by calculating the total weight of Gordon's two shopping bags. Gordon has one shopping bag that weighs 3 pounds and another that weighs 7 pounds. Therefore, the total weight of Gordon's shopping bags is:
\[ 3 + 7 = 10 \text{ pounds} \]
According to th... | Let x = weight of one of Trace’s shopping bags
Then, 5x = 2 * 7 = 14
x = 14/5
x = 2.8
#### 2.8 | 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... | To determine the weight of each of Trace's shopping bags, we start by calculating the total weight of Gordon's two shopping bags. Gordon has one shopping bag that weighs 3 pounds and another that weighs 7 pounds. Therefore, the total weight of Gordon's shopping bags is:
\[ 3 + 7 = 10 \text{ pounds} \]
According to th... | Step 1: Let x be the weight of one of Trace’s bags.
Step 2: Since Trace’s shopping bags all weigh the same amount, we can equate the weight of one of Trace’s bags to the weight of one of Gordon’s bags. So, we can set up the equation x = 3 + 7 = 10.
Step 3: Now we have the equation x = 10. We can solve for x by divid... | 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:
| To determine the total number of books in the library, we need to follow these steps:
1. **Understand the given information:**
- 35% of the books are intended for children.
- 104 books are intended for adults.
2. **Calculate the percentage of books intended for adults:**
Since the total percentage of all boo... | Step 1: Let's assume the number of books in the library is x.
Step 2: Calculate 35% of x as 0.35x. This is the number of books intended for children.
Step 3: The remaining books, which are not intended for children, are 104.
Step 4: The number of books not intended for children is 104, which is also 35% of x. This ... | 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:
| To determine the total number of books in the library, we need to follow these steps:
1. **Understand the given information:**
- 35% of the books are intended for children.
- 104 books are intended for adults.
2. **Calculate the percentage of books intended for adults:**
Since the total percentage of all boo... | Step 1: Let the total number of books in the library be x.
Step 2: We are given that 35% of the books are for children, which is equal to 0.35x.
Step 3: We are also given that 104 books are for adults. Since the total number of books is x, we can write the equation 0.35x + 104 = x.
Step 4: Subtract 0.35x from both ... | 160 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Nicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make?
Answer:
| To determine how much profit Nicky makes from the trade, we need to calculate the total value of the cards he gives away and the value of the card he receives, and then find the difference between these two values.
1. Calculate the total value of the cards Nicky gives away:
- Nicky trades two cards, each worth $8.
... | Step 1: First, calculate the total value of the two cards Nicky trades away.
Total value = 2 cards * $8 per card = $16.
Step 2: Calculate how much money Nicky makes by trading these cards.
Profit = Total value - value of the card he trades
= $16 - $21
= -$5.
The answer is: $-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: Nicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make?
Answer:
| To determine how much profit Nicky makes from the trade, we need to calculate the total value of the cards he gives away and the value of the card he receives, and then find the difference between these two values.
1. Calculate the total value of the cards Nicky gives away:
- Nicky trades two cards, each worth $8.
... | First, calculate the value of two cards that Nicky trades.
Two cards = 2 x 8 dollars = 16 dollars
Next, subtract the cost of the two cards from the total value of the cards Nicky gets.
Profit = Total value of cards Nicky gets - Cost of the two cards
Profit = 16 dollars - 8 dollars = 8 dollars
#### 8 | 5 |
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,... | To find the average number of minutes each player gets in Patricia's highlight film, we need to follow these steps:
1. **Calculate the total time of all the video clips:**
- Point guard: 130 seconds
- Shooting guard: 145 seconds
- Small forward: 85 seconds
- Power forward: 60 seconds
- Center: 180 secon... | Step 1: Add the time of all the players.
130 + 145 + 85 + 60 + 180 = 590 seconds
Step 2: Convert seconds to minutes
590 seconds / 60 = 9.8333 minutes
Final Answer: #### 9.8333 | 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,... | To find the average number of minutes each player gets in Patricia's highlight film, we need to follow these steps:
1. **Calculate the total time of all the video clips:**
- Point guard: 130 seconds
- Shooting guard: 145 seconds
- Small forward: 85 seconds
- Power forward: 60 seconds
- Center: 180 secon... | Step 1: Divide the total seconds by the number of players.
Total seconds = 130 + 145 + 85 + 60 + 180 = 600 seconds.
Number of players = 5.
Step 2: Calculate the average in minutes.
Average in minutes = Total seconds ÷ Number of players = 600 ÷ 5 = 120.
#### 120 minutes. | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Julie, Letitia and Anton decided to have dinner together at a nearby restaurant. Julie orders $10 worth of food, Letitia orders $20 worth of food, and Anton orders $30 worth of food. How ... | To determine how much each person should pay in tips, we need to follow these steps:
1. **Calculate the total cost of the meal:**
- Julie's order: $10
- Letitia's order: $20
- Anton's order: $30
Adding these amounts together:
\[
10 + 20 + 30 = 60
\]
2. **Determine the total tip amount:**
- Th... | Step 1: Calculate the total cost of the food
$10 + $20 + $30 = $60
Step 2: Calculate the amount each should pay for a 20% tip
20% of $60 is
(20/100)*60 = $12
Step 3: Calculate how much each should pay in tips
Julie: $12
Letitia: $12
Anton: $12
#### $36.00 | 4 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Julie, Letitia and Anton decided to have dinner together at a nearby restaurant. Julie orders $10 worth of food, Letitia orders $20 worth of food, and Anton orders $30 worth of food. How ... | To determine how much each person should pay in tips, we need to follow these steps:
1. **Calculate the total cost of the meal:**
- Julie's order: $10
- Letitia's order: $20
- Anton's order: $30
Adding these amounts together:
\[
10 + 20 + 30 = 60
\]
2. **Determine the total tip amount:**
- Th... | Step 1: Calculate the total amount of the meal.
Total amount = $10 + $20 + $30 = $60
Step 2: Calculate 20% of the total amount.
Tip amount = $60 * 20% = $60 * 0.20 = $12
Step 3: Calculate the amount each person should pay in tip.
Julie's tip = Total amount * 0.50 = $60 * 0.50 = $30
Letitia's tip = $30 * 0.50 = $15
An... | 4 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks.... | To determine Niko's total profit, we need to calculate the profit he makes from each type of socks separately and then sum these profits.
First, let's calculate the cost of the socks:
- Niko bought 9 pairs of socks.
- Each pair costs $2.
\[
\text{Total cost} = 9 \times 2 = 18 \text{ dollars}
\]
Next, let's calculate ... | Step 1: Calculate the profit from 4 pairs of socks.
Profit = 4 × 2 × 0.25 = $1
Step 2: Calculate the profit from 5 pairs of socks.
Profit = 5 × 2 × 0.2 = $1
Step 3: Calculate the total profit.
Total Profit = $1 + $1 = $2
#### $2 | 3 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks.... | To determine Niko's total profit, we need to calculate the profit he makes from each type of socks separately and then sum these profits.
First, let's calculate the cost of the socks:
- Niko bought 9 pairs of socks.
- Each pair costs $2.
\[
\text{Total cost} = 9 \times 2 = 18 \text{ dollars}
\]
Next, let's calculate ... | Step 1: Calculate the cost of the 9 pairs of socks.
9 pairs * $2/pair = $18
Step 2: Calculate the profit from the 4 pairs of socks that are going to be resold at a 25% profit.
Profit = 25% * $18 = 0.25 * $18 = $4.5
4 pairs * $4.5/pair = $18
Step 3: Calculate the profit from the 5 pairs of socks that are going to be... | 3 |
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... | To determine the total number of students with average height, we need to follow these steps:
1. **Calculate the number of short students:**
The number of short students is given as \(\frac{2}{5}\) of the total number of students. The total number of students in the class is 400.
\[
\text{Number of short stud... | Step 1: Calculate the number of short students. 2/5 * 400 = 160 short students
Step 2: Calculate the number of tall students. 90 tall students
Step 3: Calculate the number of average height students. 400 - 160 - 90 = 90 students
Step 4: Calculate the total number of students with average height. 90 students
#### 90 | 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... | To determine the total number of students with average height, we need to follow these steps:
1. **Calculate the number of short students:**
The number of short students is given as \(\frac{2}{5}\) of the total number of students. The total number of students in the class is 400.
\[
\text{Number of short stud... | ## Step 1: Calculate the total number of short students.
To find the number of short students, we multiply the total number of students by 2/5. total_students = 400, short_students = total_students * (2/5) = 400 * (2/5) = 160.
## Step 2: Calculate the total number of students with average height.
We know that there ar... | 150 |
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 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?
Answer:
| To determine how many coins James sold to recoup his original investment, we need to follow these steps:
1. Calculate James's original investment.
2. Determine the new value of each coin after the increase.
3. Calculate how many coins James needs to sell to recoup his original investment.
**Step 1: Calculate James's ... | Step 1: Calculate the increase in the value of the coins.
The increase in the value of the coins is $15 * (2/3) = $10.
Step 2: Determine the amount James recoups with the increase in the value of the coins.
The amount James recoups is $15 - $10 = $5.
Step 3: Divide the amount James recoups by the cost per coin to deter... | 12 |
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 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?
Answer:
| To determine how many coins James sold to recoup his original investment, we need to follow these steps:
1. Calculate James's original investment.
2. Determine the new value of each coin after the increase.
3. Calculate how many coins James needs to sell to recoup his original investment.
**Step 1: Calculate James's ... | First find the total original investment: 20 coins * $15/coin = $300.
The value of the coins increases by 2/3: 2/3 * $300 = $200.
Since James recoup his investment by selling the coins, his new total investment must equal his new total value: $200 = 20 coins * $15/coin.
Let y = the number of coins James sells. Then, t... | 12 |
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 ... | To determine the total number of roses Lorelei has in her vase, we need to calculate the number of flowers she picks from each rose bush and then sum these amounts.
1. **Red Roses:**
- The first rose bush has 12 red flowers.
- Lorelei picks 50% of the red roses.
- Calculation: \( 12 \times 0.50 = 6 \)
- Lo... | Step 1: The number of red roses is 50% of 12, which is 6
Step 2: The number of pink roses is 50% of 18, which is 9
Step 3: The number of yellow roses is 25% of 20, which is 5
Step 4: The number of orange roses is 25% of 8, which is 2
Step 5: Add all the roses: 6 + 9 + 5 + 2 = 22
The final answer is: 22 | 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 ... | To determine the total number of roses Lorelei has in her vase, we need to calculate the number of roses she picks from each bush and then sum them up.
1. **Red Roses:**
- The first rose bush has 12 red flowers.
- Lorelei picks 50% of the red roses.
- Number of red roses picked: \( 12 \times 0.50 = 6 \).
2. ... | Step 1: The number of red roses is 50% of 12, which is 6
Step 2: The number of pink roses is 50% of 18, which is 9
Step 3: The number of yellow roses is 25% of 20, which is 5
Step 4: The number of orange roses is 25% of 8, which is 2
Step 5: Add all the roses: 6 + 9 + 5 + 2 = 22
The final answer is: 22 | 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... | To determine how many cups of large lemonade Tonya sold, we need to follow these steps:
1. **Identify the total revenue and the revenue from small and medium lemonades:**
- Total revenue: $50
- Revenue from small lemonades: $11
- Revenue from medium lemonades: $24
2. **Calculate the revenue from large lemona... | Step 1: Define the variables
Let x be the number of cups of lemonade sold in small cups, y be the number of cups of lemonade sold in medium cups, and z be the number of cups of lemonade sold in large cups.
Step 2: Formulate the equation for the total number of cups sold
x + y + z = 50
Step 3: Formulate the equation f... | 5 |
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... | To determine how many cups of large lemonade Tonya sold, we need to follow these steps:
1. **Identify the total revenue and the revenue from small and medium lemonades:**
- Total revenue: $50
- Revenue from small lemonades: $11
- Revenue from medium lemonades: $24
2. **Calculate the revenue from large lemona... | Step 1: First, we need to determine the total number of cups sold for each type of lemonade. Since each small cup is $1, each medium cup is $2, and each large cup is $3, we can calculate the total revenue generated from each type of lemonade.
Step 2: Tonya made $50 in total. We know that she sold $11 worth of small l... | 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 ... | To determine how many minutes Leo finished the third part of his assignment, we need to follow these steps:
1. Identify the time taken for each part of the assignment.
2. Calculate the total time taken for the first and second parts.
3. Subtract the total time taken for the first and second parts from the total time t... | Step 1. Leo finished the first part of the assignment in 25 minutes. Leo finished the second part twice as long as the first part, so the time for the second part is 2 x 25 = 50 minutes.
Step 2. 50 minutes is 1/2 of the time that Leo took to finish the third part. Leo finished the entire assignment in 2 hours, which is... | 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 ... | To determine how many minutes Leo finished the third part of his assignment, we need to follow these steps:
1. Identify the time taken for each part of the assignment.
2. Calculate the total time taken for the first and second parts.
3. Subtract the total time taken for the first and second parts from the total time t... | Step 1: Let x represent the number of minutes Leo took to complete the third part of the assignment.
Step 2: We know that it took Leo 25 minutes to complete the first part, and twice as long to complete the second part, so it took him 50 minutes to complete the second part. Let's write an equation to represent the si... | 45 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Connor is taking his date to the movies. The tickets cost $10.00 each. They decided to get the large popcorn & 2 drink combo meal for $11.00 and each grab a box of candy for $2.50 each. ... | To determine how much Connor will spend on his date, we need to calculate the cost of each item and then sum them up. Let's break it down step by step.
1. **Cost of the movie tickets:**
- Each ticket costs $10.00.
- Connor and his date are going, so they need 2 tickets.
\[
2 \times 10.00 = 20.00
\]
2. ... | Step 1: Calculate the cost of the large popcorn & 2 drink combo meal
The cost of the large popcorn & 2 drink combo meal is $11.00.
Step 2: Calculate the cost of the candy
The cost of the candy is $2.50.
Step 3: Calculate the total cost
The total cost is $11.00 (popcorn & drink) + $2.50 (candy) = $13.50.
Connor will ... | 36 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Connor is taking his date to the movies. The tickets cost $10.00 each. They decided to get the large popcorn & 2 drink combo meal for $11.00 and each grab a box of candy for $2.50 each. ... | To determine how much Connor will spend on his date, we need to calculate the cost of each item and then sum them up. Let's break it down step by step.
1. **Cost of the movie tickets:**
- Each ticket costs $10.00.
- Connor and his date are going, so they need 2 tickets.
\[
2 \times 10.00 = 20.00
\]
2. ... | Step 1: First, find the total cost of the movie tickets, which is 2 x $10.00.
Step 2: Next, find the cost of the combo meal, which is $11.00.
Step 3: Find the total cost of the candy, which is 2 x $2.50.
Step 4: Now, add up the cost of the tickets, the combo meal, and the candy. $10 + $11 + $2.50 = $23.50
Step 5: ... | 36 |
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... | To determine the number of green beans in the jar, we will follow these steps:
1. Calculate the number of red beans.
2. Determine the number of remaining beans after removing the red beans.
3. Calculate the number of white beans.
4. Determine the number of remaining beans after removing the white beans.
5. Calculate t... | Step 1: Find the number of beans that are red. 572 / 4 = 143
Step 2: Find the number of beans that are not red. 572 - 143 = 429
Step 3: Find the number of white beans. 429 / 3 = 143
Step 4: Find the number of beans that are not white. 429 - 143 = 286
Step 5: Find the number of green beans. 286 / 2 = 143
#### <ans... | 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... | To determine the number of green beans in the jar, we will follow these steps:
1. Calculate the number of red beans.
2. Determine the number of remaining beans after removing the red beans.
3. Calculate the number of white beans.
4. Determine the number of remaining beans after removing the white beans.
5. Calculate t... | Step 1: Let's assume the total number of beans in the jar is 100x. This makes it easier to work with fractions. Susie has 572 beans initially.
Step 2: One-fourth of the beans are red, which is (1/4) x 572 = 143 red beans.
Step 3: One-third of the remaining beans are white, which is (1/3) (572 - 143) = (1/3) x 429 = 143... | 143 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Jim collects model cars, and he has 301 models total. Jim has 4 times as many Buicks as Fords, and 3 more than twice the number of Fords than Chevys. How many Buicks does Jim have?
Answe... | To determine how many Buicks Jim has, we need to set up equations based on the information given and solve them step by step.
Let's define the variables:
- \( C \) represents the number of Chevys.
- \( F \) represents the number of Fords.
- \( B \) represents the number of Buicks.
From the problem, we have the follow... | Step 1. Define variables to represent the number of each type of car.
Let F = number of Fords
Let B = number of Buicks
Step 2. Write equations representing the given information.
F + B = 301
B = 2F + 3
Step 3. Substitute the expression for B into the first equation and solve for F.
F + (2F + 3) = 301
3F + 3 = 301
3F = ... | 220 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Jim collects model cars, and he has 301 models total. Jim has 4 times as many Buicks as Fords, and 3 more than twice the number of Fords than Chevys. How many Buicks does Jim have?
Answe... | To determine how many Buicks Jim has, we need to set up equations based on the information given and solve them step by step.
Let's define the variables:
- \( C \) represents the number of Chevys.
- \( F \) represents the number of Fords.
- \( B \) represents the number of Buicks.
From the problem, we have the follow... | Step 1: Let B = the number of Buicks, F = the number of Fords, and C = the number of Chevys. The problem states that Jim has 4 times as many Buicks as Fords, so B = 4F.
Step 2: The problem states that Jim has 3 more than twice the number of Fords than Chevys, so F = 2C + 3.
Step 3: Substitute the expression for F into... | 220 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each m... | To determine how many months Peter needs to wait to reach his goal of $5,000, we can follow these steps:
1. **Calculate the remaining amount Peter needs:**
Peter's goal is $5,000, and he currently has $2,900 in savings.
\[
\text{Remaining amount} = 5000 - 2900 = 2100
\]
2. **Determine how much Peter saves... | Step 1: Calculate the total amount of money Peter needs to save. $5,000 (goal) - $2,900 (savings) = $2,100.
Step 2: Calculate the number of months Peter needs to save. $2,100 (total savings) ÷ $700 (monthly savings) = 3.
Final answer is: 3. | 3 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each m... | To determine how many months Peter needs to wait to reach his goal of $5,000, we can follow these steps:
1. **Calculate the remaining amount Peter needs:**
Peter's goal is $5,000, and he currently has $2,900 in savings.
\[
\text{Remaining amount} = 5000 - 2900 = 2100
\]
2. **Determine how much Peter saves... | Step 1. First, let's find out how much money Peter has in total. He has $2,900 in savings and needs $5,000 to cover all the spending for the travel. Let's call the number of months he needs to wait "x". The equation will be 2900 + 700x = 5000.
Step 2. We can solve this equation by adding 700x to both sides. This will g... | 3 |
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... | To determine the percentage of Wendy's life that she spent in an accounting-related job, we need to follow these steps:
1. Calculate the total number of years Wendy spent in an accounting-related job.
2. Determine the total number of years Wendy lived.
3. Calculate the percentage of her life spent in an accounting-rel... | Step 1: Calculate the total number of years Wendy spent in accounting-related jobs. 15 years (accounting manager) + 25 years (accountant) = 40 years.
Step 2: Calculate the percentage of her life spent in accounting-related jobs. 40 years / 80 years = 0.5 = 50% = #### <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... | To determine the percentage of Wendy's life that she spent in an accounting-related job, we need to follow these steps:
1. Calculate the total number of years Wendy spent in an accounting-related job.
2. Determine the total number of years Wendy lived.
3. Calculate the percentage of her life spent in an accounting-rel... | Step 1: The total number of years Wendy spent in accounting-related jobs is 25 + 15 = 40 years.
Step 2: The total number of years Wendy lived is 80 years.
Step 3: The percentage of her life spent in accounting-related jobs is (40/80) * 100 = 50%.
Step 4: Therefore, 50% of Wendy's life was spent in an accounting-rel... | 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... | To determine how many people will run this year, we need to follow these steps:
1. Calculate the number of people who actually ran last year.
2. Determine the number of people who will run this year based on the information given.
**Step 1: Calculate the number of people who actually ran last year.**
Last year, 200 ... | Step 1: Let's start by letting 'n' be the number of people who will run this year.
Step 2: Since there will be twice as many runners this year as last year, the number of people who will run this year is 2n.
Step 3: The number of people who did not show up this year is 40.
Step 4: The total number of runners this year ... | 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... | To determine how many people will run this year, we need to follow these steps:
1. Calculate the number of people who actually ran last year.
2. Determine the number of people who will run this year based on the information given.
**Step 1: Calculate the number of people who actually ran last year.**
Last year, 200 ... | Step 1. Let x represent the number of runners this year. The number of people who did not show up is 200 – x. Since there will be twice as many runners this year as last year, the number of people who will run this year is 2x.
Step 2. The number of people who will run this year is the sum of those who signed up and tho... | 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... | To determine the total number of fruits remaining in all the trees after Dulce picks some, we can follow these steps:
1. Calculate the total number of fruits on all the trees before Dulce picks any.
2. Determine how many fruits Dulce picks from each tree.
3. Calculate the number of fruits remaining on each tree after ... | #### 2,400
Step-by-step reasoning:
Firstly, 8 trees will have a total of 8 * 200 = 1,600 fruits.
Secondly, 2/5 * 1,600 = 800 is the number of fruits picked by Dulce from each tree.
Thirdly, 800 * 8 = 6,400 is the number of fruits picked by Dulce from all the trees. The number of fruits remaining will be 8 * 200 - 6,400... | 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... | To determine the total number of fruits remaining in all the trees after Dulce picks some, we can follow these steps:
1. Calculate the total number of fruits on all the trees before Dulce picks any.
2. Determine how many fruits Dulce picks from each tree.
3. Calculate the number of fruits remaining on each tree after ... | Step 1: Calculate the total number of fruits on all trees.
Total number of fruits on all trees = 8 trees * 200 fruits/tree = 1600 fruits.
Step 2: Calculate the number of fruits Dulce picks from all trees.
Fruits picked by Dulce = (2/5) * 8 trees = 16 trees.
Step 3: Calculate the total number of fruits remaining in all ... | 960 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of h... | To determine the total number of cards traded between Padma and Robert, we need to consider each trade separately and then sum up the total number of cards exchanged.
1. **First Trade:**
- Padma trades 2 of her valuable cards for 10 of Robert's cards.
- Number of cards traded by Padma: 2
- Number of cards tra... | Let x be the number of cards traded from Padma to Robert.
Let y be the number of cards traded from Robert to Padma.
We have the following equations:
x = 2
y = 8
75 + x = 88 + y
Substituting x = 2, we get
75 + 2 = 88 + y
77 = 88 + y
77 - 88 = y
y = -11
#### <answer> | 35 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of h... | To determine the total number of cards traded between Padma and Robert, we need to consider each trade separately and then sum up the total number of cards exchanged.
1. **First Trade:**
- Padma trades 2 of her valuable cards for 10 of Robert's cards.
- Number of cards traded by Padma: 2
- Number of cards tra... | Step 1: Let P and R represent the number of cards Padma and Robert traded, respectively. Then, according to the problem, P + R = 75 and R + 2 = 88.
Step 2: Solve the equation R + 2 = 88 for R. Subtract 2 from both sides: R = 88 - 2
Step 3: Evaluate the expression 88 - 2
88 - 2 = 86
Step 4: Substitute the value of R int... | 35 |
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:
| To determine the number of albino 8-antlered deer in the park, we can follow these steps:
1. Calculate the number of deer that have 8 antlers.
2. Determine how many of those deer also have albino fur.
**Step 1: Calculate the number of deer that have 8 antlers.**
There are 920 deer in the park, and 10% of them have 8... | Step 1: Calculate 10% of the total number of deer to find out how many deer have 8 antlers.
10% of 920 = 0.1 * 920 = 92 deer
Step 2: Calculate a quarter of the number of deer with 8 antlers to find out how many deer have albino fur.
A quarter of 92 = 0.25 * 92 = 23 deer
Therefore, there are 23 albino 8-antlered dee... | 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:
| To determine the number of albino 8-antlered deer in the park, we can follow these steps:
1. Calculate the number of deer that have 8 antlers.
2. Determine how many of those deer also have albino fur.
**Step 1: Calculate the number of deer that have 8 antlers.**
There are 920 deer in the park, and 10% of them have 8... | Step 1: First, let's find the number of deer with 8 antlers. 10% of 920 deer have 8 antlers, which is 0.1(920) = 92 deer.
Step 2: Next, we need to find the number of deer with 8 antlers and albino fur. This is a quarter of the number of deer with 8 antlers, which is 0.25(92) = 23 deer.
Step 3: Now, we need to find... | 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 ... | To determine the total number of craft supply items Allison bought, we need to follow these steps:
1. **Calculate the number of glue sticks Allison bought:**
- Marie bought 15 glue sticks.
- Allison bought 8 more glue sticks than Marie.
- Therefore, the number of glue sticks Allison bought is:
\[
15... | Let's denote the number of glue sticks Allison bought as A and the number of construction paper packs Allison bought as C.
Marie bought 15 glue sticks and 30 packs of construction paper.
Since Allison bought 8 more glue sticks than Marie, then A = 15 + 8 = 23 glue sticks.
Since Marie bought six times as many packs of c... | 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 ... | To determine the total number of craft supply items Allison bought, we need to follow these steps:
1. **Calculate the number of glue sticks Allison bought:**
- Marie bought 15 glue sticks.
- Allison bought 8 more glue sticks than Marie.
- Therefore, the number of glue sticks Allison bought is:
\[
15... | Step 1: Allison bought 8 more glue sticks than Marie. This means she bought (15 + 8) glue sticks.
Step 2: Allison bought six times as many packs of construction paper as Marie. This means she bought (30 * 6) packs of construction paper.
Step 3: Allison bought 15 glue sticks and 30 packs of construction paper. Add the g... | 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 ... | To determine how much enjoyable gameplay James gets, we need to follow these steps:
1. Calculate the amount of boring grinding in the original game.
2. Calculate the amount of enjoyable gameplay in the original game.
3. Add the amount of enjoyable gameplay from the expansion.
4. Sum up the enjoyable gameplay from both... | Step 1: First, let's find out the total amount of grinding that James gets. 100 x .8 = 80 hours.
Step 2: Now, let's add the amount of enjoyable gameplay that James gets from the expansion. 80 + 30 = 110 hours.
Step 3: Therefore, James gets 110 hours of enjoyable gameplay.
#### 110. | 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 ... | To determine how much enjoyable gameplay James gets, we need to follow these steps:
1. Calculate the amount of boring grinding in the original game.
2. Calculate the amount of enjoyable gameplay in the original game.
3. Add the amount of enjoyable gameplay from the expansion.
4. Sum up the enjoyable gameplay from both... | Step 1: Calculate 100 - 80% of 100 to determine the hours of boring grinding.
80% of 100 = 0.8 x 100 = 80 hours of boring grinding.
80 - 80 = 0 hours of enjoyable gameplay.
Step 2: Add the hours of enjoyable gameplay from the expansion to the hours of enjoyable gameplay from the game.
0 hours + 30 hours = 30 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: Monica and Michelle are combining their money to throw a party. Monica brings $15. Michelle brings $12. The cake costs 15 dollars, and soda is $3 a bottle. Each bottle of soda has 12 servin... | To determine how many servings of soda each guest gets, we need to follow these steps:
1. **Calculate the total amount of money Monica and Michelle have:**
Monica brings $15.
Michelle brings $12.
Total money = $15 + $12 = $27.
2. **Subtract the cost of the cake from the total money:**
The cake costs $15.
... | Step 1: Calculate the total amount of money Monica and Michelle have.
Monica has $15 and Michelle has $12, for a total of $15 + $12 = $27.
Step 2: Calculate how many bottles of soda they can buy. Divide the number of guests by the number of servings per bottle.
Soda = guests ÷ servings per bottle = 8 ÷ 12 = 0.6667 bo... | 6 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Monica and Michelle are combining their money to throw a party. Monica brings $15. Michelle brings $12. The cake costs 15 dollars, and soda is $3 a bottle. Each bottle of soda has 12 servin... | To determine how many servings of soda each guest gets, we need to follow these steps:
1. **Calculate the total amount of money Monica and Michelle have:**
Monica brings $15.
Michelle brings $12.
Total money = $15 + $12 = $27.
2. **Subtract the cost of the cake from the total money:**
The cake costs $15.
... | Step 1: Calculate Monica and Michelle's total amount of money. $15 + $12 = $27.
Step 2: Since Monica is bringing the most money, she has the most money to spend on soda. She spends $15 on the cake, leaving her with $12. Michelle can spend $12 on soda, leaving her with $3.
Step 3: Monica buys 4 bottles of soda. Each bot... | 6 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Peter is buying a set of glasses. They cost $3 for small glasses and $5 for large ones. He has $50. If he buys 8 small ones and leaves with $1 in change, how many large ones did he buy?
A... | To determine how many large glasses Peter bought, we need to follow these steps:
1. Calculate the total cost of the small glasses.
2. Determine how much money Peter spent on large glasses.
3. Calculate the number of large glasses based on the cost per large glass.
First, let's calculate the total cost of the small gl... | Step 1: Peter buys 8 small glasses. 8 * 3 = 24
Step 2: The total cost of 8 small glasses is 24 dollars. So, 50 - 24 = 26
Step 3: Since Peter has $1 in change, Peter spent 26 - 1 = 25 dollars
Step 4: He bought 8 small glasses. To find the number of large glasses he bought, we divide the amount he spent by the cost o... | 5 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Peter is buying a set of glasses. They cost $3 for small glasses and $5 for large ones. He has $50. If he buys 8 small ones and leaves with $1 in change, how many large ones did he buy?
A... | To determine how many large glasses Peter bought, we need to follow these steps:
1. Calculate the total cost of the small glasses.
2. Determine how much money Peter spent on large glasses.
3. Calculate the number of large glasses based on the cost per large glass.
First, let's calculate the total cost of the small gl... | Step 1: Let's denote the number of large glasses Peter bought as x.
Step 2: The total cost of 8 small glasses is 8 x = 3 x = 8.
Step 3: The total cost of x large glasses is 5x.
Step 4: The total cost is 3x + 5x = 8x.
Step 5: Since Peter had $50 initially, the total cost of his glasses must equal the amount he had ... | 5 |
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... | To determine how much more the monthly payment on the house is compared to the trailer, we need to calculate the monthly payments for each option and then find the difference.
First, let's calculate the monthly payment for the house:
1. The cost of the house is $480,000.
2. The loan is to be paid over 20 years.
3. The... | Step 1: Convert the number of years into months for both the house and the trailer.
20 years * 12 months/year = 240 months
Step 2: Calculate the monthly payment for the house.
$480,000 / 240 months = $2,000 per month
Step 3: Calculate the monthly payment for the trailer.
$120,000 / 240 months = $500 per month
St... | 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... | To determine how much more the monthly payment on the house is compared to the trailer, we need to calculate the monthly payments for each option and then find the difference.
First, let's calculate the monthly payment for the house:
1. The cost of the house is $480,000.
2. The loan is to be paid over 20 years.
3. The... | First, let's calculate the total amount paid over the loan period for each option:
House: $480,000
Trailer: $120,000
Total payment for 20 years = $480,000 + $120,000 = $600,000
Now, let's calculate the monthly payment for each option:
House: $480,000 / 20 years = $24,000 per month
Trailer: $120,000 / 20 years = $6,000 ... | 1500 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Mia is buying Christmas gifts for her family. She has spent $30 on each of her 3 siblings, and the rest of her spending was for her parents. If Mia spent a total of $150 on Christmas gifts ... | To determine how much money Mia spent on each parent's gift, we need to follow these steps:
1. Calculate the total amount of money Mia spent on her siblings.
2. Subtract the amount spent on her siblings from the total amount spent to find out how much she spent on her parents.
3. Divide the amount spent on her parents... | Step 1: First, Mia spent $30 on each of her 3 siblings, so the total amount spent on these gifts is 3 × 30 = 90 dollars.
Step 2: The remaining amount spent was on gifts for her parents. This amount is 150 − 90 = 60 dollars.
Step 3: Since each of her parents received gifts of equal value, Mia spent a total of 60 doll... | 30 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Mia is buying Christmas gifts for her family. She has spent $30 on each of her 3 siblings, and the rest of her spending was for her parents. If Mia spent a total of $150 on Christmas gifts ... | To determine how much money Mia spent on each parent's gift, we need to follow these steps:
1. Calculate the total amount of money Mia spent on her siblings.
2. Subtract the amount spent on her siblings from the total amount spent to find out how much she spent on her parents.
3. Divide the amount spent on her parents... | Step 1. To solve this problem, we must determine the amount spent on each parent’s gift.
Step 2. Mia bought 3 gifts for each of her 3 siblings, which are the $30 gifts for each sibling.
Step 3. So, the total amount spent on these 3 gifts is $30 x 3 = $90.
Step 4. Subtracting this from the total amount spent on Chri... | 30 |
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... | To determine how much money Clare has left after her purchases, we need to follow these steps:
1. Calculate the total cost of the bread.
2. Calculate the total cost of the milk.
3. Add the total costs of the bread and milk to find the total amount spent.
4. Subtract the total amount spent from the initial amount of mo... | Step 1: Calculate the total cost of the items.
Total cost = (4 * $2) + (2 * $2) = $8 + $4 = $12
Step 2: Subtract the total cost from the initial amount of money.
$47 - $12 = $35
#### <answer> | 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... | To determine how much money Clare has left after her purchases, we need to follow these steps:
1. Calculate the total cost of the bread.
2. Calculate the total cost of the milk.
3. Add the total costs of the bread and milk to find the total amount spent.
4. Subtract the total amount spent from the initial amount of mo... | Step 1: Calculate the cost of bread
4 loaves of bread cost $2 per loaf, so the cost of bread is 4 x $2 = $8.
Step 2: Calculate the cost of milk
2 cartons of milk cost $2 per carton, so the cost of milk is 2 x $2 = $4.
Step 3: Calculate the total cost
$8 for bread + $4 for milk = $12 total.
Step 4: Calculate the rema... | 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 ... | To determine how many small planters Oshea will need, we start by calculating the total number of seeds that can be planted in the large planters. Each large planter can hold 20 seeds, and Oshea has 4 large planters. Therefore, the total number of seeds that can be planted in the large planters is:
\[ 4 \text{ planter... | Step 1: Calculate the total number of seeds that Oshea can plant in the large planters. 4 large planters * 20 seeds per large planter = 80 seeds.
Step 2: Calculate the remaining number of seeds after planting in the large planters. 200 seeds - 80 seeds = 120 seeds.
Step 3: Calculate the number of small planters needed ... | 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 ... | To determine how many small planters Oshea will need, we start by calculating the total number of seeds that can be planted in the large planters. Each large planter can hold 20 seeds, and Oshea has 4 large planters. Therefore, the total number of seeds that can be planted in the large planters is:
\[ 4 \text{ planter... | Step 1: Find the maximum number of seeds that can be planted in a large planter.
200 seeds / 20 seeds per planter = 10 large planters
Step 2: Determine how many seeds will be left after filling the large planters.
200 seeds - 10 large planters = 190 seeds
Step 3: Find out how many small planters are needed to hold ... | 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... | To determine how many pencils Eric can evenly distribute between the five containers after receiving additional pencils, we can follow these steps:
1. Calculate the initial number of pencils in each container.
Eric originally sorted 150 pencils into 5 containers. So, we divide 150 by 5:
\[
150 \div 5 = 30
... | Step 1: First, let’s find the total number of pencils Eric has now. We know that 150 pencils were already sorted, and 30 more were added. The total number of pencils is 150 + 30 = 180.
Step 2: Since we need to know how many pencils he can evenly distribute between 5 containers, we need to divide the total number of p... | 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... | To determine how many pencils Eric can evenly distribute between the five containers, we need to follow these steps:
1. **Initial Distribution:**
Eric initially sorted 150 colored pencils into 5 containers. Therefore, each container initially contains:
\[
\frac{150}{5} = 30 \text{ pencils}
\]
2. **Additio... | Step 1: First, let’s find the total number of pencils Eric has now. We know that 150 pencils were already sorted, and 30 more were added. The total number of pencils is 150 + 30 = 180.
Step 2: Since we need to know how many pencils he can evenly distribute between 5 containers, we need to divide the total number of p... | 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... | To determine the number of children at the event after Oleg adds 10 children, we need to follow these steps:
1. Identify the number of men at the event.
2. Determine the number of women at the event.
3. Calculate the number of children at the event before adding more.
4. Add the additional children to the initial numb... | Step 1: Calculate the number of women, using the fact that the number of women is half the number of men.
Number of women = Number of men / 2 = 40 / 2 = 20
Step 2: Calculate the total number of guests, using the fact that the total number of guests is the sum of the number of men, women, and children.
Number of guests... | 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... | To determine the number of children at the event after Oleg adds 10 children, we need to follow these steps:
1. Identify the number of men at the event.
2. Determine the number of women at the event.
3. Calculate the number of children at the event before adding more.
4. Add the additional children to the initial numb... | Step 1: Let the number of children be c. Since there are half as many women as men, the number of women will be c/2. Since there are 80 guests in total, the number of men plus the number of women plus the number of children equals 80. So the equation is: 40 + c/2 + c = 80.
Step 2: Multiply the equation by 2 to simplify... | 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... | To determine the total number of stamps in Stella's album, we need to break down the problem into two parts: calculating the number of stamps on the first 10 pages and then calculating the number of stamps on the remaining pages.
First, let's calculate the number of stamps on the first 10 pages:
- Each of the first 10... | Step 1: Determine the number of stamps on the first 10 pages
The first 10 pages contain 5 * 30 = 150 stamps.
Step 2: Calculate the total number of stamps on the rest of the pages
There are 50 - 10 = 40 pages remaining.
Step 3: Determine the number of stamps per page
The remaining 40 pages have 50 stamps each, so each... | 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... | To determine the total number of stamps in Stella's album, we need to break down the problem into two parts: calculating the number of stamps on the first 10 pages and then calculating the number of stamps on the remaining pages.
First, let's calculate the number of stamps on the first 10 pages:
- Each of the first 10... | Step 1: Find the total number of stamps in the first 10 pages. There are 5 rows of 30 stamps per page. So, there are 5*30 = 150 stamps per page. Since there are 10 pages, there are 150*10 = 1500 stamps in the first 10 pages.
Step 2: Find the total number of stamps in the remaining pages. There are 50-10 = 40 pages rema... | 3500 |
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 a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay?
Answer:
| To determine how much James paid for the cable program, we need to follow these steps:
1. Calculate the total cost of the cable program.
2. Determine how much James pays by splitting the total cost evenly with his roommate.
**Step 1: Calculate the total cost of the cable program.**
- The first 100 channels cost $100... | Step 1: The cost of the first 100 channels is $100. The cost of the next 100 channels is $100 * 1/2 = $50. In total, the cost of the 200 channels is 100 + 50 = $150.
Step 2: James splits the cost of the 200 channels evenly with his roommate, so each one pays 150 / 2 = $75.
Step 3: Therefore, the answer is $75. | 75 |
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 a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay?
Answer:
| To determine how much James paid for the cable program, we need to follow these steps:
1. Calculate the total cost of the cable program.
2. Determine how much James pays by splitting the total cost evenly with his roommate.
**Step 1: Calculate the total cost of the cable program.**
- The first 100 channels cost $100... | Step 1: Calculate the total cost of the cable program. The first 100 channels cost $100 and the next 100 channels cost $100/2 = $50.
Step 2: Add the costs of the first and second 100 channels.
$100 + $100 = $200
$200 + $50 = $250
Step 3: The total cost is $250, which James splits with his roommate. So he pays half of $... | 75 |
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... | To determine how many days it takes the sprinkler system to use 50 liters of water, we need to calculate the total amount of water used by the sprinkler system in one day and then find out how many days it takes to reach 50 liters.
First, let's calculate the total amount of water used by the sprinkler system in one da... | Step 1: First, let's find the amount of water the sprinkler system uses each day.
mornings = 2 * 4 = 8 liters
evenings = 2 * 6 = 12 liters
mornings + evenings = 8 + 12 = 20 liters per day
Step 2: Now let's find out how many days it takes the sprinkler system to use 50 liters of water.
days = 50 / 20 = 2.5
The final an... | 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... | To determine how many days it takes the sprinkler system to use 50 liters of water, we need to calculate the total amount of water used by the sprinkler system in one day and then find out how many days it takes to reach 50 liters.
First, let's calculate the total amount of water used by the sprinkler system in one da... | Step 1: Calculate the total water used per day.
Morning water: 4 liters
Evening water: 6 liters
Total water used per day: 4 + 6 = 10 liters
Step 2: Calculate the number of days needed to use 50 liters of water.
Step 2a: Divide the total amount of water (50 liters) by the amount used per day (10 liters).
50 ÷ 10 = 5
Ste... | 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'... | To determine the total time taken from the first station to Mr. Langsley's workplace, we need to follow these steps:
1. Calculate the time taken from Mr. Langsley's pickup point to the first station.
2. Determine the total time taken from the pickup point to Mr. Langsley's workplace.
3. Subtract the time taken from th... | Step 1: Calculate the time Mr. Langsley spent on the bus.
Step 2: Calculate the time Mr. Langsley spent walking from the bus stop to work.
Step 3: Calculate the total time from the first station to Mr. Langsley's workplace.
Step 4: Output the total time in minutes on its own line.
Step 1: Mr. Langsley spent 40 minutes... | 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'... | To determine the total time taken from the first station to Mr. Langsley's workplace, we need to follow these steps:
1. Calculate the time taken from Mr. Langsley's pickup point to the first station.
2. Determine the total time taken from the pickup point to Mr. Langsley's workplace.
3. Subtract the time taken from th... | Step 1: Calculate the time taken from the first station to Mr. Langsley's workplace.
Step 2: Calculate the time taken from Mr. Langsley's workplace to the first station.
Step 3: Add the time taken in steps 1 and 2 together to get the total time.
## Step 1: Calculate the time taken from the first station to Mr. Lang... | 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 ... | To determine how many cards Janessa kept for herself, we need to follow these steps:
1. Calculate the total number of cards Janessa initially had.
2. Subtract the number of cards she threw away.
3. Subtract the number of cards she gave to Dexter.
**Step 1: Calculate the total number of cards Janessa initially had.**
... | Step 1: First, add the initial amount of cards Janessa has.
4 + 13 = 17 cards
Step 2: Then, subtract the number of cards she threw away from the total number of cards.
17 - 4 = 13 cards
Step 3: Finally, subtract the number of cards she gave away from the number of cards she kept.
13 - 29 = -16
#### -16 | 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 ... | To determine how many cards Janessa kept for herself, we need to follow these steps:
1. Calculate the total number of cards Janessa initially had.
2. Subtract the number of cards she threw away.
3. Subtract the number of cards she gave to Dexter.
**Step 1: Calculate the total number of cards Janessa initially had.**
... | Step 1: Calculate the total number of cards Janessa had before buying eBay cards
Step 2: Subtract the cards Janessa gave away from her total
Step 3: Calculate the number of cards Janessa kept for herself
#### 29 cards
Janessa started with 4 cards (initial cards) + 13 cards (father's gift) = 17 cards.
Janessa ordered 3... | 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:
| To determine the cost of each barbell, we need to follow these steps:
1. Calculate the total amount John spent on the barbells.
2. Determine the cost of each barbell.
First, let's find out how much John spent on the barbells. John gave $850 and received $40 in change. Therefore, the amount spent is:
\[ 850 - 40 = 810... | Step 1: Define the problem.
Step 2: Let x be the cost of each barbell.
Step 3: Write an equation based on the given information.
Step 4: Solve for x.
Step 5: Plug in the value of change for John and solve for x.
x + 3x = 850 + 40
4x = 890
x = 890/4
x = 225
#### 225 | 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:
| To determine the cost of each barbell, we need to follow these steps:
1. Calculate the total amount John spent on the barbells.
2. Determine the cost of each barbell.
First, let's find out how much John spent on the barbells. John gave $850 and received $40 in change. Therefore, the amount spent is:
\[ 850 - 40 = 810... | Step 1: Let x be the cost of each barbell in dollars.
Step 2: The total cost of 3 barbells is 3x.
Step 3: The change John received after giving $850 is $40.
Step 4: The equation for this is: 3x + 850 - 850 = 40
Step 5: The equation simplifies to: 3x = 40
Step 6: Divide both sides by 3 to solve for x: x = 40/3
... | 270 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours a week. If his second ... | To determine how much money Mike received from his first job, we need to follow these steps:
1. Calculate the total amount of money Mike earned from his second job.
2. Subtract the amount earned from his second job from the total amount earned to find out how much he earned from his first job.
First, let's calculate ... | Step 1: Let x = wages earned from the first job
Step 2: Wages earned from the second job can be represented by 9x
Step 3: Wages earned total is $160
Step 4: The equation becomes: x + 9x = 160
Step 5: Combine like terms and solve for x: 10x = 160
Step 6: Solve for x: x = 160/10
Step 7: Calculate: x = 16
#### 16 | 52 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours a week. If his second ... | To determine how much money Mike received from his first job, we need to follow these steps:
1. Calculate the total amount of money Mike earned from his second job.
2. Subtract the amount earned from his second job from the total amount earned to find out how much he earned from his first job.
First, let's calculate ... | Step 1: Mike has earned $160 in total from both his jobs.
Step 2: Let x be the amount Mike received from his first job.
Step 3: The amount he earned from his second job is 12 hours x $9 per hour.
Step 4: Since the total amount earned is $160, then x + 12(9) = 160
Step 5: x + 108 = 160
Step 6: x = 152
Step 7: The answer... | 52 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as he sleds down the tall ... | To determine the total number of times Wilson sleds down the hills, we need to break down the problem into smaller parts and then sum up the results.
First, let's calculate the number of times Wilson sleds down the tall hills. There are 2 tall hills and he sleds down each one 4 times. Therefore, the total number of ti... | Step 1: Define variables for the problem
Let h1 be the number of times Wilson sleds down the tall hills and h2 be the number of times Wilson sleds down the small hills.
Step 2: Write equations based on the problem
We know Wilson sleds down the 2 tall hills 4 times each, so h1 = 4 × 2 = 8. Since he sleds down the small... | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as he sleds down the tall ... | To determine the total number of times Wilson sleds down the hills, we need to break down the problem into smaller parts and then sum up the results.
First, let's calculate the number of times Wilson sleds down the tall hills. There are 2 tall hills and he sleds down each one 4 times. Therefore, the total number of ti... | Step 1: Wilson sleds down the tall hills 4 times each, so the total number of times he sleds down the tall hills is 4 x 2 = 8.
Step 2: Wilson sleds down the small hills half as often as he sleds down the tall hills. Since he sleds down the tall hills 8 times, he sleds down the small hills 8/2 = 4 times.
Step 3: To find... | 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 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:
| To determine the number of cherry sodas in the cooler, we start by defining variables for the quantities of each type of soda. Let's denote the number of cherry sodas by \( c \) and the number of orange pops by \( o \).
According to the problem, there are twice as many cans of orange pop as there are of cherry soda. T... | Step 1: Let x be the number of cans of cherry soda.
Step 2: Then, 2x is the number of cans of orange pop.
Step 3: The total number of cans is x + 2x, which equals 3x. This equals 24, since the cooler is filled with 24 cans of cherry soda and orange pop. Therefore, 3x = 24.
Step 4: Dividing both sides by 3, we get x = 8... | 8 |
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