prompt stringlengths 353 978 | chosen stringlengths 232 5.08k | rejected stringlengths 11 15.3k | answer stringlengths 1 7 | attempt int64 1 5 | chosen_score int64 1 3 | rejected_score int64 0 0 |
|---|---|---|---|---|---|---|
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Mimi picked up 2 dozen seashells on th... | ## Step 1: Determine the number of seashells Mimi picked up.
2 dozen seashells is equal to 2 * 12 = 24 seashells.
## Step 2: Calculate the number of seashells Kyle found.
Kyle found twice as many shells as Mimi, so he found 24 * 2 = 48 seashells.
## Step 3: Calculate the number of seashells Leigh grabbed.
Leigh gr... | \boxed{}
## Step 1: Calculate the number of seashells Mimi picked up
Mimi picked up 2 dozen seashells. Since 1 dozen is equal to 12, Mimi picked up 2 * 12 = 24 seashells.
## Step 2: Calculate the number of seashells Kyle found
Kyle found twice as many shells as Mimi, so Kyle found 2 * 24 = 48 seashells.
## Step 3: Ca... | 16 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Emma's bank account has $100 in it. Ea... | ## Step 1: Calculate the total number of days in the week.
There are 7 days in a week.
## Step 2: Calculate the total amount Emma spends during the week.
Total amount spent = 8 * 7 = 56 dollars.
## Step 3: Calculate the amount Emma has left after spending during the week.
Emma's account has 100 dollars, and she spend... | ## Step 1: Calculate the total amount Emma spends during the week
Emma spends $8 each day, and there are 7 days in a week. So she spends a total of 8 * 7 = 56 dollars.
## Step 2: Calculate the number of $5 bills Emma gets
The remaining money in her account after she spends $56 is 100 - 56 = 44 dollars. This is how man... | 4 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Ezekiel hikes as a hobby. This past su... | ## Step 1: Calculate the total distance Ezekiel hiked on the first day.
Ezekiel covered 10 kilometers on the first day.
## Step 2: Determine the total distance Ezekiel hiked on the second day.
The second day, Ezekiel covered half the full hike distance of 50 kilometers, which is 50 / 2 = 25 kilometers.
## Step 3: Cal... | $$\boxed{30}$$
## Step 1: Calculate the total distance of the hike.
The total distance of the hike is 50 kilometers.
## Step 2: Calculate the distance covered on the first day.
The distance covered on the first day is 10 kilometers.
## Step 3: Calculate the distance covered on the second day.
Since Ezekiel covered h... | 15 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
James decides to build a tin house by ... | ## Step 1: Calculate the number of tins James collected on the first day.
James collects 50 tins on the first day.
## Step 2: Calculate the number of tins James collected on the second day.
He collected 3 times the number of tins collected on the first day, which is 3 * 50 = 150 tins.
## Step 3: Calculate the number ... | ## Step 1: Calculate the number of tins collected on the second day
On the second day, James collects 50 tins times 3, which equals 150 tins.
## Step 2: Calculate the number of tins collected on the third day
On the third day, James collects 150 tins minus 50 tins, which equals 100 tins.
## Step 3: Calculate the tota... | 50 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Don throws 3 darts. One is a bullseye... | ## Step 1: Identify the points for each dart throw.
The bullseye is worth 50 points, the missed target is worth 0 points, and the third throw is worth half the points of the bullseye, which is 25 points.
## Step 2: Calculate the total points for each throw.
Since the bullseye was worth 50 points, and the third throw w... | \boxed{108}.
## Step 1: Determine the points for the first throw.
The first dart is a bullseye worth 50 points.
## Step 2: Calculate the points for the second throw.
The second dart completely missed the target, so it did not receive any points.
## Step 3: Calculate the points for the third throw.
The third dart is... | 75 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
TreQuan is throwing rocks in the river... | ## Step 1: Calculate the width of the splash made by 6 pebbles.
The width of the splash made by one pebble is 1/4 meter, so the total width made by 6 pebbles is 6 * (1/4) = 6/4 = 1.5 meters.
## Step 2: Calculate the width of the splash made by 3 rocks.
The width of the splash made by one rock is 1/2 meter, so the tota... | First, count the number of pebble splashes:
6 pebbles x 1/4 = 6/4 = 1.5
There are a total of 6 pebble splashes: 1.5
Next, count the number of rock splashes:
3 rocks x 1/2 = 3/2 = 1.5
There are a total of 3 rock splashes: 1.5
Finally, count the number of boulder splashes:
2 boulders x 2 = 4
There are a total of 2 boulde... | 7 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Pauly is making omelets for his family... | ## Step 1: Calculate the total number of eggs
Three dozen eggs equals 3 * 12 = 36 eggs.
## Step 2: Calculate the total number of omelets
36 eggs / 4 eggs per omelet = 9 omelets.
## Step 3: Calculate the number of omelets each person gets
There are 3 people including Pauly, so we divide 9 omelets by 3 people = 3 omele... | ## Step 1: Calculate the total number of eggs.
There are three dozen eggs, so 1 dozen eggs equals 3 eggs. Therefore, three dozen eggs equals 3 * 3 = 9 eggs.
## Step 2: Divide the total number of eggs by the number of eggs needed for each omelet.
To determine how many omelets each person gets, divide the total number o... | 3 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Thomas made 4 stacks of wooden blocks.... | ### Step 1: Calculate the number of blocks in the second stack
Since the second stack was 3 blocks taller than the first stack, which was 7 blocks tall, the second stack has 7 + 3 = 10 blocks.
### Step 2: Calculate the number of blocks in the third stack
The third stack was 6 blocks shorter than the second stack, whic... | \boxed{95}
.
## Step 1: Calculate the height of the second stack.
The first stack is 7 blocks tall, and the second stack is 3 blocks taller, so the second stack is 7 + 3 = 10 blocks tall.
## Step 2: Calculate the height of the third stack.
The second stack is 10 blocks tall, and the third stack is 6 blocks shorter t... | 55 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Trace has five shopping bags that weig... | ## Step 1: Identify the total weight of Gordon's bags
Gordon has two bags, one weighing 3 pounds and the other weighing 7 pounds. The total weight of his bags is therefore 3 + 7 = 10 pounds.
## Step 2: Determine the total weight of Trace's bags
The total weight of Trace's five bags is equal to the total weight of Gord... | ## Step 1: Let's denote the weight of one of Trace's bags as \(x\) pounds.
## Step 2: Given that one of Gordon's shopping bags weighs 3 pounds and the other 7 pounds, and knowing that Trace's bags all weigh the same amount, we can set up an equation to represent the relationship: \(x \times 5 = 3 \times 2\) because t... | 2 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A library has a number of books. 35% o... | ## Step 1: Let's define the total number of books in the library as "x".
Since 35% of the books are intended for children, 65% must be for adults because 100% - 35% = 65%.
## Step 2: We know that 104 books represent 65% of all the books in the library, which we can express as:
104 = 0.65x
## Step 3: To find "x", whic... | ## Step 1: Determine the total number of children's books
First, let's find the number of children's books. Since 35% of the books are children's books, we can express this as 0.35 * x = the number of children's books, where x is the total number of books.
## Step 2: Determine the number of adult books
Next, let's fin... | 160 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Nicky is trading baseball cards with J... | ## Step 1: Calculate the total value of the cards Nicky gets from the trade.
The value of two cards worth $8 each is 2 * 8 = 16 dollars.
## Step 2: Calculate the total value of the card Nicky gives to Jill in the trade.
The value of the card worth $21 is 21 dollars.
## Step 3: Calculate the profit Nicky makes from th... | ## Step 1: To solve this problem, we first need to find the total amount of profit Nicky makes from trading the two cards for 1 card worth $21.
## Step 2: Nicky gets 2 cards worth $8 each for 1 card worth $21, which means he gets 2 cards worth 2 * $8 = $16.
## Step 3: The total profit is then the difference between ... | 5 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Patricia is making a highlight film ab... | _____________________________________
## Step 1: First, we need to find the total number of seconds all the players get.
Total seconds = 130 + 145 + 85 + 60 + 180 = 600 seconds.
## Step 2: Now, we divide the total number of seconds by the number of players to find the average seconds per player.
Average seconds per p... | \boxed{4.2}
Let's begin:
## Step 1: Calculate the total time for all players
First, we need to add up the time for each player to find the total time they spent recording. total_time = 130 + 145 + 85 + 60 + 180.
## Step 2: Calculate the sum of the times
Now, let's compute the sum of the times. total_time = 130 + 145 ... | 2 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Julie, Letitia and Anton decided to ha... | Find the amount each person should pay for the tip.
## Step 1: Calculate the total amount of food ordered
To find the total amount of food ordered, we add the food orders of Julie, Letitia, and Anton. Total_food = $10 + $20 + $30 = $60.
## Step 2: Calculate the total tip for the whole meal
The tip for the whole meal ... | ## Step 1: Calculate the total cost of the meal.
To find the total cost of the meal, we need to add the cost of each person's food and the tips. Total cost of the meal = cost of Julie's food + cost of Letitia's food + cost of Anton's food = $10 + $20 + $30 = $60.
## Step 2: Calculate the total tip amount.
To find the ... | 4 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Niko has bought 9 pairs of socks that ... | ## Step 1: Calculate the total cost of all socks.
9 pairs of socks that cost $2 each will be 9 * $2 = $18.
## Step 2: Calculate the profit for the 4 pairs with 25% gain.
For 4 pairs, Niko will gain 25% of the cost of $2 each, so 25/100 * $2 = $0.50 profit per pair.
The total profit from these 4 pairs will be 4 * $0.50... | ## Step 1: Calculate the cost price for the first 4 pairs of socks with 25% profit.
First, we need to find the cost price of the first 4 pairs of socks, which will be 2 * 4 = $8.
## Step 2: Calculate the cost price for the remaining 5 pairs of socks with $0.2 profit each.
The cost price of the remaining 5 pairs of soc... | 3 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
James buys 20 coins of a cryptocurrenc... | ## Step 1: Calculate James' original investment in cents
To find the total amount James invested, we multiply the number of coins by the price per coin: 20 coins * $15/coin = $300.
## Step 2: Calculate the new price of a coin
We are told that the value of the coins increases by 2/3, which means the new price per coin ... | ## Step 1: First, calculate the total amount James spent on the coins.
The total amount James spent on the coins = 20 coins * $15/coin = $300.
## Step 2: Calculate the increased value of the coins after the increase in value.
The value of the coins increases by 2/3, so the new value of the coins = $300 * (1 + 2/3) = $... | 12 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
In the park, the first rose bush has 1... | ## Step 1: Calculate the number of red roses picked for the vase.
50% of 12 red roses = 0.50 * 12 = 6 red roses.
## Step 2: Calculate the number of pink roses picked for the vase.
50% of 18 pink roses = 0.50 * 18 = 9 pink roses.
## Step 3: Calculate the number of yellow roses picked for the vase.
25% of 20 yellow ros... | \boxed{...}
## Step 1: Calculate the number of red roses picked by Lorelei
First, calculate 50% of 12 red roses to find how many Lorelei picked from the first rose bush.
50% of 12 is calculated as 0.5 * 12 = 6.
## Step 2: Calculate the number of pink roses picked by Lorelei
Then, calculate 50% of 18 pink roses to fin... | 22 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Tonya has opened a lemonade stand sell... | ## Step 1: Identify the variables and the known quantities.
Let's denote the number of small cups as S, medium cups as M, and large cups as L. We know that:
- The total amount of money made is $50.
- The cost of small cups is $1, the cost of medium cups is $2, and the cost of large cups is $3.
- Tonya sold $11 worth of... | Let $x$ denote the number of large lemonades.
## Step 1: Determine the total amount of money made from small and medium lemonades
The total amount of money made from small and medium lemonades is $11 + $24 = $35.
## Step 2: Calculate the number of small and medium lemonades sold
Let x be the number of large lemonades... | 5 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Olaf collects colorful toy cars. At fi... | ## Step 1: Determine the number of toy cars given by the uncle.
Since Auntie gave Olaf 6 toy cars, which is 1 more than the uncle, the number of toy cars given by the uncle is 6 - 1 = 5.
## Step 2: Determine the number of toy cars given by Grandpa.
Since Grandpa gave Olaf twice as many toy cars as the uncle, the numbe... | ## Step 1: Identify the initial number of toy cars Olaf has.
Olaf initially has 150 toy cars.
## Step 2: Calculate the number of toy cars Grandpa gave.
Grandpa gave Olaf twice as many toy cars as the uncle, who gave him 5 toy cars less than Olaf, so it means Grandpa gave 150 - 5 = 145 toy cars.
## Step 3: Calculate t... | 196 | 4 | 2 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Leo's assignment was divided into thre... | ### Step 1: Let's denote the time Leo took to finish the third part of his assignment as x minutes.
### Step 2: The time it took Leo to finish the second part is twice the time it took him to finish the first part, which is 2 * 25 = 50 minutes.
### Step 3: The total time it took Leo to finish the first and second pa... | \boxed{120}
## Step 1: Let's denote the time Leo took to finish the third part of his assignment as x minutes.
Since the total time taken for the assignment was 2 hours, we convert this to minutes to match the units of x.
So, 2 hours equals 120 minutes.
## Step 2: We know that the first part of the assignment took ... | 45 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Connor is taking his date to the movie... | ## Step 1: Calculate the total cost of the tickets.
The tickets cost $10.00 each, so the total cost of the tickets is 2 * $10.00 = $20.00.
## Step 2: Calculate the cost of the popcorn & drink combo meal.
The combo meal costs $11.00, so this will be the cost of the food.
## Step 3: Calculate the cost of the box of can... | \boxed{24.00}.
## Step 1: Calculate the total cost of the tickets
Connor is taking his date to the movies and each ticket costs $10.00. So, the total cost for the tickets is $10.00 * 2 = $20.00.
## Step 2: Calculate the total cost of the combo meal
They decided to get the large popcorn & 2 drink combo meal for $11.0... | 36 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Susie has 572 beans in the jar. One-fo... | ## Step 1: Calculate the number of red beans
One-fourth of the total number of beans is red, so we multiply the total number of beans by 1/4 to find the number of red beans.
\[
\text{Red beans} = 572 \times \frac{1}{4} = 143
\]
## Step 2: Calculate the number of beans remaining after removing the red beans
\[
\text{Re... | ## Step 1: Determine the number of red beans
One-fourth of the 572 beans are red. So, the number of red beans = (1/4) * 572 = 143.
## Step 2: Determine the number of white beans before counting the green
One-third of the remaining beans are white. The number of white beans before counting the green = (1/3) * (572 - 14... | 143 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Jim collects model cars, and he has 30... | -----------------------------------
## Step 1: Let's define the variables for the problem.
Let B represent the number of Buicks Jim has, F represent the number of Fords, and C represent the number of Chevys.
## Step 2: We are given the total number of model cars: B + F + C = 301.
We also know that there are 4 times ... | \\
\\
a) 143
\\
b) 202
## Step 1: Define the variables for the problem
Let's define F for the number of Fords, B for the number of Buicks, and C for the number of Chevys.
## Step 2: Translate the problem into mathematical equations
Given that Jim has 301 total cars, the first equation is: B + F + C = 301
Given that ... | 220 | 1 | 2 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Peter has a plan to take his family on... | ## Step 1: Determine the amount Peter still needs to save.
To find out how many months Peter needs to wait, first, calculate the amount he still needs to save by subtracting his current savings from his goal. $5,000 (goal) - $2,900 (savings) = $2,100 (still needed).
## Step 2: Calculate how many months it will take Pe... | \boxed{7}.
## Step 1: Calculate how much more money Peter needs to save to reach his goal.
Peter needs $5,000 to cover all the spending for the travel and he has $2,900 in savings, so he needs $5,000 - $2,900 = $2,100 more to save.
## Step 2: Calculate how many months it will take Peter to save the additional amount ... | 3 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Wendy spent 25 years as an accountant ... | ## Step 1: Calculate the total years Wendy spent in an accounting-related job
To find the total years Wendy spent in an accounting-related job, we need to add the years she spent as an accountant and an accounting manager. total_years_accountant = 25 years, total_years_manager = 15 years. total_years_accountant_and_man... | \boxed{2.8\%}
## Step 1: Calculate the total number of years Wendy spent in an accounting-related job.
Total years = 25 years (as an accountant) + 15 years (as an accounting manager) = 40 years.
## Step 2: Calculate the percentage of Wendy's life spent in an accounting-related job.
Percentage = (Total years spent in ... | 50 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Last year, Peter organized a Fun Run f... | ## Step 1: Determine the number of runners last year.
The number of runners last year was 200 - 40 = 160.
## Step 2: Determine the number of runners this year.
There will be twice as many runners this year as last year, so there will be 2 * 160 = 320 runners.
The final answer is: $\boxed{320}$ | \boxed{1400}
## Step 1: Calculate the number of people who ran last year
First, let's calculate the number of people who ran last year. total_signed_up = 200, not_runners = 40, so runners_last_year = total_signed_up - not_runners = 200 - 40 = 160.
## Step 2: Calculate the number of people who will run this year
This ... | 320 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Dulce's father has eight orange trees ... | ## Step 1: Calculate the total number of fruits Dulce picks from all the trees.
To find the total number of fruits Dulce picks, we multiply the number of trees by the number of fruits on each tree. So, 8 trees * 200 fruits/tree = 1600 fruits.
## Step 2: Calculate the number of fruits Dulce picks from each tree.
Dulce ... | ### Step 1: Calculate the number of fruits per tree
To find the total number of fruits per tree, we need to multiply the number of trees by the number of fruits per tree.
8 trees * 200 fruits/tree = 1600 fruits per tree.
### Step 2: Calculate the number of fruits picked from one tree
Dulce picks 2/5 of the oranges fro... | 960 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
There are 920 deer in a park. 10% of t... | ## Step 1: Calculate the number of deer with 8 antlers.
First, let's calculate the number of deer with 8 antlers. 10% of 920 deer have 8 antlers. To find 10% of 920, we multiply 920 by 0.1. So, 920 * 0.1 = 92 deer with 8 antlers.
## Step 2: Calculate the number of albino 8-antlered deer.
Now, let's calculate the numbe... | ## Step 1: First, we need to find how many deer have 8 antlers in total.
There are 920 deer in the park, and 10% of them have 8 antlers. 10% of 920 is (10/100)*920 = 92 deer with 8 antlers each.
## Step 2: Calculate how many 8-antlered deer are there in total.
92 deer with 8 antlers each make a total of 92*8 = 736 dee... | 23 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
James gets bored with his game so deci... | ## Step 1: First, calculate the number of hours James gets from the boring gameplay.
100 hours - 80% = 20 hours.
## Step 2: Then, find the hours of enjoyable gameplay in the expansion.
30 hours.
## Step 3: Calculate the total hours of enjoyable gameplay.
Enjoyable gameplay hours = 20 hours + 30 hours = 50 hours.
The... | \boxed{150}.
## Step 1: Calculate the total boring gameplay hours.
The game originally promises 100 hours of gameplay, but 80% of that is boring grinding, which means 80% of 100 hours is 0.8 * 100 = 80 hours.
## Step 2: Calculate the enjoyable gameplay hours.
To find the enjoyable gameplay hours, subtract the boring ... | 50 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Monica and Michelle are combining thei... | number_of_servings = 0
## Step 1: First, calculate the total amount of money Monica and Michelle have combined.
Monica brings $15 and Michelle brings $12, so the total amount of money they have is $15 + $12 = $27.
## Step 2: Next, calculate the number of servings of cake that can be bought.
The cake costs $15 and cos... | Step-by-step reasoning:
## Step 1: Determine the total amount of money Monica and Michelle have together.
Monica brings $15 and Michelle brings $12, so the total amount of money is $15 + $12 = $27.
## Step 2: Calculate the maximum number of soda bottles Monica and Michelle can afford.
Each bottle of soda costs $3 and ... | 6 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Peter is buying a set of glasses. They... | ## Step 1: Calculate the total cost of the small glasses
The cost of 8 small glasses is $3 * 8 = $24.
## Step 2: Calculate the amount spent on small glasses
Peter had $50 to spend and left with $1, so he spent $50 - $1 = $49 on glasses.
## Step 3: Calculate the cost of the large glasses
The cost of the large glasses ... | ## Step 1: Calculate the total cost of the small glasses Peter bought.
The cost of small glasses is 3 dollars, and Peter bought 8 of them, so the cost is 3 * 8 = 24 dollars.
## Step 2: Calculate the amount of money Peter spent on the large glasses.
Peter had 50 dollars and had 1 dollar left after buying the small gla... | 5 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Mara has 40 crayons and 10 percent of ... | ### Step 1: Calculate the number of pink crayons Mara has.
Mara has 40 crayons, and 10 percent of them are pink. This means she has 40 * 0.1 = 4 pink crayons.
### Step 2: Calculate the number of pink crayons Luna has.
Luna has 50 crayons, and 20 percent of them are pink. This means she has 50 * 0.2 = 10 pink crayons.
... | \boxed{}
## Step 1: Calculate the number of pink crayons Mara has
Mara has 40 crayons and 10 percent of them are pink. To find the number of pink crayons Mara has, we need to calculate 10% of 40.
10% of 40 = 0.10 * 40 = 4
## Step 2: Calculate the number of pink crayons Luna has
Luna has 50 crayons and 20 percent of th... | 14 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Jane is trying to decide whether to bu... | ## Step 1: Calculate the total number of months the money will last over 20 years.
There are 12 months in a year, so 20 years * 12 months/year = 240 months.
## Step 2: Calculate the monthly payment for the house.
To find the monthly payment, we divide the cost of the house ($480,000) by the number of months (240).
$48... | \boxed{120000}
## Step 1: Calculate the total cost of the house and trailer over 20 years.
To find the total cost, multiply the cost of the house by the number of years and the cost of the trailer by the number of years. house_cost = 480000, years = 20, trailer_cost = 120000, house_total = house_cost * years, trailer_... | 1500 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Mia is buying Christmas gifts for her ... | ## Step 1: Calculate the total amount of money spent on Mia’s siblings.
Mia spent $30 on each of her 3 siblings, so the total amount spent on her siblings is $30 * 3 = $90.
## Step 2: Subtract the total spent on siblings from the total amount spent on gifts to find the amount spent on parents.
Total spent on gifts is ... | \boxed{40}.
## Step 1: Calculate the total amount spent on siblings
Mia spent $30 on each of her 3 siblings, so the total amount spent on siblings is 30 * 3 = $90.
## Step 2: Calculate the amount spent on parents
Mia spent a total of $150 on Christmas gifts, and she spent $90 on her siblings. So, the amount spent on ... | 30 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Oshea bought 200 basil seeds. He wants... | ## Step 1: Calculate the total number of seeds that can be planted in the large planters.
The total number of seeds that can be planted in the large planters is 4 planters * 20 seeds/planter = 80 seeds.
## Step 2: Calculate the remaining number of seeds after using the large planters.
There are 200 seeds in total - 80... | ## Step 1: Calculate the total number of seeds that can be planted in the large planters.
200 seeds * 4 large planters = 800 seeds.
## Step 2: Calculate the number of seeds that remain to be planted after using the large planters.
200 seeds - 800 seeds = -600 seeds.
## Step 3: Since the number of seeds is negative, i... | 30 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Clare's mother gave her $47 to go to t... | --------------------------------------------------
## Step 1: First, we need to calculate the total cost of the bread.
4 loaves of bread at $2 each will be 4 * 2 = $8.
## Step 2: Then, we need to calculate the total cost of the milk.
2 cartons of milk at $2 each will be 2 * 2 = $4.
## Step 3: Now, we add the cost of ... | ## Step 1: First, we need to calculate the total amount of money Clare spent on the bread.
Total cost for bread = Number of loaves * Cost per loaf
Total cost for bread = 4 * 2
Total cost for bread = 8
## Step 2: Next, we calculate the total amount of money Clare spent on the milk.
Total cost for milk = Number of carto... | 35 | 2 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Padma is trading cards with Robert. Pa... | ## Step 1: Calculate the total number of cards traded by Padma.
Padma traded 2 cards for 10 cards from Robert, and she also traded another 15 cards for Robert's cards, so we can calculate the total number of cards she traded by adding 2 + 15 = 17.
## Step 2: Calculate the total number of cards traded by Robert.
Robert... | \boxed{42}.
## Step 1: Determine the number of cards Padma traded to Robert for 10 of his cards.
To find out how many cards Padma traded to Robert for 10 of his cards, we need to subtract the number of cards she already had from the number of cards she traded to get the number of cards she traded in total for Robert.... | 35 | 3 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Jason is planning a parking garage tha... | ## Step 1: Calculate the total time it takes to drive through all 12 floors in seconds
To find the total time, we first need to calculate the time it takes to drive through all 12 floors. Since there are 800 feet per floor and the speed is 10 feet/second, we can multiply 800 feet by 12 floors to get the total distance ... | ## Step 1: Calculate the time it takes to drive from one floor to the next.
To get to the next floor, drivers have to cover a distance of 800 feet and take 10 feet/second, so the time taken is distance/time = 800/10 = 80 seconds.
## Step 2: Calculate the number of floors that require to show ID.
Since every 3rd floor ... | 1440 | 3 | 2 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Allison went to the craft store with h... | ## Step 1: Determine how many packs of construction paper Allison bought.
Since Marie bought 30 packs of construction paper and Marie bought six times as many packs as Allison, Allison must have bought 30 / 6 = 5 packs of construction paper.
## Step 2: Determine how many glue sticks Allison bought.
Allison bought 8 mo... | ## Step 1: First, we need to find out how many glue sticks Allison bought.
Allison bought 8 more glue sticks than Marie, and Marie bought 15 glue sticks. So Allison bought 15 + 8 = 23 glue sticks.
## Step 2: Next, we need to find out how many packs of construction paper Allison bought.
Allison bought six times as many... | 28 | 3 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Eric sorted 150 colored pencils into 5... | answer
## Step 1: Calculate the total number of pencils after the additional 30 pencils were added to the existing 150 pencils.
Total pencils = 150 (existing) + 30 (additional) = 180 pencils.
## Step 2: Determine how many pencils each container can hold before the additional pencils were added.
Number of pencils per c... | \boxed{a}
## Step 1: First, we need to calculate the total number of pencils Eric now has, including the ones he received from the teacher.
Eric started with 150 pencils, received 30 more, and now has 150 + 30 = 180 pencils.
## Step 2: We need to divide the total number of pencils Eric has by the number of container... | 36 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Oleg is an event organizer. He is orga... | ## Step 1: Determine the initial number of women
Since half the number of men are women, and there are 40 men, then there are 40 / 2 = 20 women.
## Step 2: Calculate the initial number of children
There are 80 guests in total and 40 men and 20 women, so there are 80 - (40 + 20) = 20 children.
## Step 3: Add the addit... | Step-by-step reasoning process:
## Step 1: Calculate the initial number of women at the event.
Since there are 40 men and half the number of men are women, then there are 40 / 2 = 20 women.
## Step 2: Add the initial number of women and children to find the initial total number of guests.
Initially, there are 40 men ... | 30 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
James gets a cable program. The first... | ## Step 1: Determine the cost of the first 100 channels.
The first 100 channels cost $100.
## Step 2: Calculate the cost of the next 100 channels.
The next 100 channels cost half the amount of the first 100 channels, so they cost $100 / 2 = $50.
## Step 3: Calculate the total cost of all the channels.
The total cost ... | \boxed{150}.
## Step 1: Calculate the cost of the first 100 channels.
The first 100 channels cost $100.
## Step 2: Calculate the cost of the next 100 channels.
The next 100 channels cost half of $100, which is $100 * 0.5 = $50.
## Step 3: Add the cost of the first 100 channels and the next 100 channels to find the t... | 75 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Mr. Langsley commutes to work every da... | .
## Step 1: Determine the total time spent on the bus ride.
The bus takes forty minutes to arrive at the first station and Mr. Langsley arrives at work at 9:00 a.m., meaning he travels for 3 hours.
## Step 2: Convert the time from hours to minutes.
To convert 3 hours to minutes, we multiply 3 hours by 60 minutes per... | ## Step 1: Determine the time from the first station to Mr. Langsley's workplace.
The bus takes forty minutes from the first station to Mr. Langsley's workplace.
## Step 2: Calculate the time from the first station to Mr. Langsley's workplace.
There are 60 minutes in an hour. Since Mr. Langsley arrives at work at 9:... | 140 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Janessa has a plan to give her brother... | ## Step 1: First, we need to find out how many cards Janessa had before giving Dexter any of them.
Janessa had 4 cards initially and her father gave her 13 cards, so she had 4 + 13 = 17 cards.
## Step 2: Next, let's find out how many cards Janessa had after receiving the 36 cards from eBay.
She initially had 17 cards ... | ## Step 1: Determine the initial number of cards Janessa has.
Janessa initially had 4 cards and received 13 cards from her father, so she had 4 + 13 = 17 cards.
## Step 2: Add the number of cards from eBay that Janessa ordered.
Janessa ordered 36 cards from eBay.
## Step 3: Subtract the cards Janessa gave away and... | 20 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
John buys 3 barbells and gives $850 an... | ## Step 1: Determine the amount of money John spent on barbells
John bought 3 barbells for $850 and got $40 in change, so the amount he spent on barbells is $850 - $40 = $810.
## Step 2: Calculate the cost of each barbell
To find the cost of each barbell, we divide the total amount John spent on barbells by the number... | ## Step 1: Determine the total cost of the barbells and the change John received.
John received $850 in change and got $40 in change back, for a total of $850 - $40 = $810.
## Step 2: Subtract the cost of the change from the total amount received to determine the cost of the barbells.
Subtracting the cost of the chang... | 270 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Mike has earned a total of $160 in wag... | ## Step 1
First, let's determine the total amount Mike has earned from his second job. This can be found by multiplying the number of hours he worked by the hourly wage for his second job. Mike worked for 12 hours and his second job pays $9 per hour.
## Step 2
Calculate the total amount Mike earned from his second job... | Let x represent the amount of money he earned from his first job.
## Step 1: Define the total amount Mike earned and the wage per hour of the second job.
Mike earned a total of $160 in wages, and for his second job, he works 12 hours a week at $9 per hour.
## Step 2: Express the total wages earned from both jobs us... | 52 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Wilson decides to go sledding on some ... | ## Step 1: First, calculate the total times he sleds down the tall hills.
He sleds down the 2 tall hills, 4 times each, for a total of 2 * 4 = 8 times.
## Step 2: Then, calculate the number of times he sleds down the small hills.
He sleds down the 3 small hills, half as often as he sleds down the tall hills, so he sle... | ## Step 1: Calculate how many times Wilson sleds down the tall hills
Wilson sleds down the tall hills 4 times each, and there are 2 of them, so he sleds down the tall hills a total of 4 x 2 = 8 times.
## Step 2: Calculate how many times Wilson sleds down the small hills
Wilson sleds down the small hills half as often ... | 14 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A cooler is filled with 24 cans of che... | ## Step 1: Set up the equation based on the information given in the problem.
Let x be the number of cans of cherry soda and y be the number of cans of orange pop. According to the problem, x = 24 (number of cherry sodas) and y = 2x (number of orange pops, so the number of orange pops is twice the number of cherry soda... | ## Step 1: Define the variables
Let's denote the number of cans of cherry soda as x and the number of cans of orange pop as y.
## Step 2: Write the equations based on the problem
We know that the total number of cans is 24, so we can write the equation:
x + y = 24.
## Step 3: Write the equation based on the relations... | 8 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Daryl is loading crates at a warehouse... | Answer:
## Step 1: Calculate the total weight of the nails in the bags
The total weight of the nails in the 4 bags is 4 * 5 kg = 20 kg.
## Step 2: Calculate the total weight of the hammers in the bags
The total weight of the hammers in the 12 bags is 12 * 5 kg = 60 kg.
## Step 3: Calculate the total weight of the woo... | ## Step 1: Calculate the total weight of the materials in the bags of nails.
The total weight of the nails is the number of nails multiplied by the weight per nail, which is 4 bags * 5 kg = 20 kg.
## Step 2: Calculate the total weight of the materials in the bags of hammers.
The total weight of the hammers is the numb... | 80 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Kwame studied for the history test for... | ## Step 1: Convert Kwame's study time to minutes
Kwame studied for 2.5 hours. To convert hours to minutes, multiply by 60. Kwame studied for 2.5 * 60 = 150 minutes.
## Step 2: Convert Lexia's study time to minutes
Lexia studied for 97 minutes.
## Step 3: Calculate the total time Kwame and Connor studied
Kwame and Con... | ## Step 1: Convert 97 minutes into hours
97 minutes is equal to 1.68333 hours.
## Step 2: Calculate the total minutes Kwame studied
Kwame studied for 2.5 hours, so he studied 2.5 * 60 = 150 minutes.
## Step 3: Calculate the total minutes Connor studied
Connor studied for 1.5 hours, so he studied 1.5 * 60 = 90 minutes... | 143 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Aunt May milks her cows twice a day. T... | ## Step 1: Calculate the total gallons of milk Aunt May got in one day.
Total gallons of milk = 365 + 380 = 745 gallons.
## Step 2: Calculate the total gallons of milk Aunt May has so far.
Total gallons of milk so far = 745 + 15 = 760 gallons.
## Step 3: Calculate the total gallons of milk Aunt May has left.
Total ga... | ## Step 1: Determine the total amount of milk Aunt May got today.
Aunt May got 365 gallons of milk this morning and 380 gallons this evening, for a total of 365 + 380 = 745 gallons.
## Step 2: Determine the total amount of milk Aunt May got before she had any leftovers.
Aunt May had 0 gallons of milk left over from ye... | 148 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Abigail is trying a new recipe for a c... | ## Step 1: Calculate the total amount of liquid used in one drink
To find the total amount of liquid in one drink, we need to add the amounts of iced tea and lemonade used. The amount of iced tea is 1/4 cup, and the amount of lemonade is 1 and 1/4 cups, which can be written as 5/4 cups. So the total amount of liquid in... | \boxed{2.25}.
## Step 1: Let's denote the total number of cups of iced tea and lemonade as T and the total number of cups in the pitcher as P.
We know that T + P = 18.
## Step 2: The iced tea in one drink is 1/4 cup and the lemonade in one drink is 1 and 1/4 cups which is equal to 5/4 cups. If we denote the number of... | 15 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Mehki is 10 years older than Jordyn. J... | ------------------------------
## Step 1: Determine Zrinka's age.
Zrinka is 6 years old.
## Step 2: Calculate Jordyn's age.
Jordyn's age is double Zrinka's age, so Jordyn's age is 2 * 6 = 12 years.
## Step 3: Calculate Mehki's age.
Mehki is 10 years older than Jordyn, so Mehki's age is 12 + 10 = 22 years.
The final... | \boxed{24}
## Step 1: Understand the problem and identify what needs to be found.
We need to find Mehki's age given that Mehki is 10 years older than Jordyn, and Jordyn's age is double Zrinka's age.
## Step 2: Determine Zrinka's age.
Zrinka is 6 years old as given.
## Step 3: Determine Jordyn's age.
Jordyn's age is ... | 22 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Juan needs 10 half-gallons of milk to ... | ## Step 1: Determine the amount of milk needed for one dozen cookies
To find out how much milk is needed for one dozen cookies, we divide the amount of milk needed for 40 cookies by 40.
## Step 2: Calculate the amount of milk needed for one dozen cookies
For one dozen cookies, Juan needs \(\frac{10}{40} = \frac{1}{4}\... | \boxed{2000}
\boxed{1000}
\boxed{160}
\boxed{400}
\boxed{3200}
\
Now I can determine that there was not only an answer to the question, but also that all solutions follow mathematical operations that are sometimes just not given in the question, so all these answers seem correct because they both use the same mathemati... | 50 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A single train car can carry 60 passen... | ## Step 1: Calculate the total number of passengers the train can carry.
The train can carry 16 cars * 60 passengers per car = 960 passengers.
## Step 2: Calculate the total number of passengers 2 airplanes can carry.
2 airplanes can carry 2 * 366 passengers = 732 passengers.
## Step 3: Calculate the difference in th... | . 86
.
## Step 1: Calculate the total number of passengers the 16-car train can carry
The 16-car train can carry 16 * 60 = 960 passengers.
## Step 2: Calculate the number of passengers 2 airplanes can carry
The 2 airplanes can carry 2 * 366 = 732 passengers.
## Step 3: Find the difference in the number of passengers... | 228 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
The tallest of 3 trees is 108 feet. T... | Step-by-step solution:
## Step 1: First, we need to find the height of the middle-sized tree.
The middle-sized tree is 6 feet less than half the height of the tallest tree, which is 108 feet.
## Step 2: Calculate the height of the middle-sized tree.
Height of the middle-sized tree = (1/2) * 108 - 6 = 54 - 6 = 48 feet... | ## Step 1: We know the height of the tallest tree is 108 feet.
## Step 2: The middle-sized tree is 6 feet less than half the height of the tallest tree, which means it is 108 / 2 - 6 = 54 feet tall.
## Step 3: The smallest tree is 1/4 the height of the middle tree, which means it is 54 / 4 = 13.5 feet tall.
The fin... | 12 | 1 | 2 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A desert garden’s sprinkler system run... | ## Step 1: Determine the total amount of water used per day.
The sprinkler system uses 4 liters in the morning and 6 liters in the evening, for a total of 4 + 6 = 10 liters per day.
## Step 2: Calculate how many days it takes to use 50 liters of water.
To find the number of days, divide the total amount of water used ... | ## Step 1: First, let's find out how much water the sprinkler system uses on a typical day.
Water used in the morning = 4 liters
Water used in the evening = 6 liters
Total water used in a day = 4 + 6 = 10 liters
## Step 2: Now we know that the sprinkler system uses 10 liters of water on a typical day.
We need to determ... | 5 | 2 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Stella collects stamps. She counted 50... | ## Step 1: Calculate the total number of stamps in the first 10 pages.
5 rows of 30 stamps per page means 5 * 30 = 150 stamps in one row.
10 pages means 150 * 10 = 1500 stamps.
## Step 2: Calculate the number of stamps on the rest of the pages.
There are 50 - 10 = 40 pages remaining, each with 50 stamps.
40 pages means... | ## Step 1: Calculate the total number of stamps in the first 10 pages
There are 5 rows of 30 stamps in each of the first 10 pages, so the total number of stamps in the first 10 pages is 5 * 30 = 150.
## Step 2: Calculate the number of remaining pages
There are 50 pages in total and the first 10 pages are taken, so the... | 3500 | 3 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Jane, Kyla, and Anthony have summer jo... | ## Step 1: Calculate the number of towels Jane can fold in one hour
Jane can fold 3 towels in 5 minutes, so in 1 hour (60 minutes), she can fold 3 x 12 = 36 towels.
## Step 2: Calculate the number of towels Kyla can fold in one hour
Kyla can fold 5 towels in 10 minutes, so in 1 hour (60 minutes), she can fold 5 x 6 = ... | \boxed{?}
## Step 1: Convert the time from minutes to hours for a standard hour.
Since there are 60 minutes in an hour, we need to convert the time it takes each person to fold towels to hours to match the unit of time of one hour.
## Step 2: Calculate the number of towels each person can fold in one hour.
We know Ja... | 87 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Dave bought 3 packs of white T-shirts ... | 6 4
8 7
10 8
## Step 1: Calculate the number of white T-shirts Dave bought
First, let's calculate the number of white T-shirts Dave bought. He bought 3 packs of white T-shirts with 6 T-shirts in each pack. So, the number of white T-shirts he bought is 3 * 6 = 18.
## Step 2: Calculate the number of blue T-shirts... | \boxed{33}.
Step-by-step reasoning trace:
1. Calculate the total number of white T-shirts bought by multiplying the number of packs by the number of white T-shirts per pack:
3 packs * 6 T-shirts/pack = <<3*6=18>>18 T-shirts
2. Calculate the total number of blue T-shirts bought by multiplying the number of packs by th... | 26 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Carla, Kyle, and Tasha caught 36 fish.... | ## Step 1: Let's define the number of fish that Kyle caught as x and the number of fish that Tasha caught as y.
The total number of fish caught is 36, so we have the equation x + y + 8 = 36.
## Step 2: Since we also know that Kyle and Tasha caught the same number of fish, we can set up another equation: x = y.
## Ste... | -------------------------------------------------------
## Step 1: Define the variables for the number of fish each person caught.
Let's denote the number of fish caught by Kyle as K and the number of fish caught by Tasha as T.
## Step 2: Write the equation based on the given information.
Since Kyle and Tasha caught ... | 14 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A store received 20 pallets of paper p... | ## Step 1: To solve this problem, first, we need to understand the proportions of the different types of paper products the store received.
## Step 2: We know that half the pallets were paper towels, which means 20 / 2 = 10 pallets of paper towels.
## Step 3: A quarter of the pallets were tissues, which means 20 / 4... | ## Step 1: Calculate the total number of pallets that were paper towels and tissues.
Half of the 20 pallets were paper towels, so they are 20 / 2 = 10 pallets. A quarter of the 20 pallets were tissues, so they are 20 / 4 = 5 pallets.
## Step 2: Add the number of pallets of paper towels and tissues to find how many pal... | 1 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Miss Davis gave 15 popsicle sticks to ... | a) 120
b) 140
c) 140
d) 140
e) 80
## Step 1: Calculate the total number of popsicle sticks Miss Davis initially gave out
Miss Davis gave 15 popsicle sticks to each group and there are 10 groups, so the total number of popsicle sticks she gave out is 15 * 10 = 150.
## Step 2: Subtract the number of sticks given out fr... |
Step 1: First, calculate the total number of sticks Miss Davis distributed to her class.
15 popsicle sticks/group * 10 groups = 150 popsicle sticks
Step 2: Next, add the number of sticks she has left to the number she distributed.
150 popsicle sticks + 170 popsicle sticks = 320 popsicle sticks
The final answer is... | 20 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Mark is reading books, for 2 hours eac... | ## Step 1: Calculate the number of hours Mark wants to spend on reading books each week.
Mark currently spends 2 hours each day reading books, so the number of hours he wants to spend each week is 2 * 7 = 14 hours.
## Step 2: Determine how much more time Mark wants to spend on reading books per week.
Mark decided to i... | ### Step 1: First, let's determine how many hours Mark wants to spend reading books per week after increasing his daily time by 4 hours.
### Step 2: Mark reads for 2 hours each day and increases his time by 4 hours for a weekly increase.
### Step 3: To determine how many hours Mark wants to spend reading books per week... | 18 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Ali had a collection of seashells. He ... | ## Step 1: Calculate the number of seashells Ali gave away to his friends and his brothers.
Ali gave away 40 seashells to his friends and 30 seashells to his brothers. In total, he gave away 40 + 30 = 70 seashells.
## Step 2: Calculate the number of seashells Ali had left after giving away some of them.
Initially, Ali... | \boxed{90}.
## Step 1: Calculate the number of seashells Ali gave away in total.
Ali gave away 40 seashells to his friends and 30 seashells to his brothers, so the total number of seashells he gave away is 40 + 30 = 70.
## Step 2: Calculate the number of seashells Ali has left after giving some away.
Ali started with... | 55 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
James buys 6 t-shirts for 50% off. Th... | ## Step 1: Calculate the discount amount for one shirt
The discount on one shirt is 50% of the cost of one shirt, which is 50/100 * 20 = $10.
## Step 2: Calculate the cost of one shirt after the discount
The original cost of one shirt is 20, and the discount is 10, so the cost after the discount is 20 - 10 = $10.
## ... | ## Step 1: Calculate the discount
James buys 6 t-shirts for 50% off, which means he gets a discount of 50% of the original price of 6 t-shirts, which is 50% * 6 * $20 = $600.
## Step 2: Calculate the amount James paid
The discount price of the t-shirts is 6 * $20 - $600 = $720.
## Step 3: Verify the result
Let's ver... | 60 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Alicia has to buy some books for the n... | ## Step 1: Let's assign variables to the unknowns in the problem.
Let's say the cost of one art book is A.
## Step 2: Write an equation based on the total cost of the books.
We know that the total cost of the math books is 2 * 3 = 6 dollars.
We know that the total cost of the art books is 3A dollars.
We know that the t... | ## Step 1: Let's define variables to represent the number of each type of book and the cost per book.
Let m = number of math books, s = number of science books, and a = number of art books.
## Step 2: Write an equation to represent the total cost of the books.
2m + 3s + 6a = 30
## Step 3: Write an equation to represe... | 2 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A jar contains 9 blue pens, 21 black p... | _____
## Step 1: Calculate the total number of pens initially in the jar.
The jar initially contains 9 blue pens, 21 black pens, and 6 red pens. So the total number of pens initially in the jar is 9 + 21 + 6 = 36 pens.
## Step 2: Calculate the number of pens removed from the jar.
Four blue pens are removed, and then ... | \boxed{3}
\boxed{27}
\boxed{17}
\boxed{26}
Step 1: First, calculate the total number of pens in the jar initially.
Total pens = blue pens + black pens + red pens = 9 + 21 + 6 = 36 pens
Step 2: Next, subtract the number of blue pens that were removed.
Remaining blue pens = 36 - 4 = 32 pens
Step 3: Then, subtract the... | 25 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Three siblings are born 5 years apart,... | ## Step 1: Calculate the age of the middle child
The middle child is 5 years younger than the eldest, so the middle child is 20 - 5 = 15 years old.
## Step 2: Calculate the age of the youngest child
The youngest child is 5 years younger than the middle child, so the youngest child is 15 - 5 = 10 years old.
## Step 3:... | Let \( A, B, \) and \( C \) be the ages of the three children, and let \( t \) be the number of years from now, then the equation is:
A + B + C = 20 + 5t = 25 + 10t
Subtracting \( B + C = 25 + 5t \) from this equation yields:
A - B - C = 20 + 10t
Adding 5 years to both sides yields:
A - B - C + 5 = 25 + 15t
Combining l... | 75 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Mike watches TV for 4 hours every day.... | ## Step 1: To solve this problem, let's first calculate how long Mike spends watching TV each day.
Mike watches TV for 4 hours every day.
## Step 2: Now, let's calculate how long Mike spends playing video games each day.
He plays video games for half as long as he watches TV, which means he spends 4 / 2 = 2 hours pl... | Let \(x\) be the amount of time he spends watching TV and playing video games,
\(x=4\),
For days he watches TV:
\[
x=\frac{3}{2}(4)=6
\]
\[
\text{Time he watches TV}=6\text{ hours}
\]
For days he plays video games:
\[
x=\frac{3}{2}(6)=9
\]
\[
\text{Time he plays video games}=9\text{ hours}
\]
\boxed{15} | 34 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Michael saved 5 of his cookies to give... | ## Step 1: Determine the number of cupcakes Sarah saved to give to Michael.
First, we need to find out how many cupcakes Sarah saved. Since she gave 9/3 = 3 cupcakes to Michael, she had 9 - 3 = 6 cupcakes left.
## Step 2: Calculate the number of cookies Michael received from Sarah.
Michael received 5 of his original c... | ## Step 1: Calculate the number of cookies Michael saved for Sarah
Michael saved 5 of his cookies to give to Sarah.
## Step 2: Calculate the number of cupcakes Sarah saved for Michael
Sarah has 9 cupcakes, and she gave Michael a third of them, so she saved 9 / 3 = 3 cupcakes for Michael.
## Step 3: Calculate the numb... | 11 | 1 | 2 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Katie has 13 pink marbles. She has 9 f... | ## Step 1: Calculate the number of orange marbles Katie has
Katie has 9 fewer orange marbles than pink marbles, so she has 13 - 9 = 4 orange marbles.
## Step 2: Calculate the number of purple marbles Katie has
Katie has 4 times as many purple marbles as orange marbles, so she has 4 * 4 = 16 purple marbles.
## Step 3:... | \boxed{27}.
## Step 1: Calculate the number of orange marbles Katie has.
Katie has 9 fewer orange marbles than pink marbles, so she has 13 - 9 = 4 orange marbles.
## Step 2: Calculate the number of purple marbles Katie has.
Katie has 4 times as many purple marbles as orange marbles, so she has 4 * 4 = 16 purple marbl... | 33 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Erin runs her own launderette and need... | ## Step 1: Calculate the value of money in one machine
First, calculate the value of money in one machine by considering the value of quarters and dimes separately.
A quarter is worth $0.25 and a dime is worth $0.10. When combined, a quarter and a dime add up to $0.35.
## Step 2: Set up the equation for the total value... | ## Step 1: Define variables for the problem
Let's call the number of machines in the launderette "M". Each machine has 80 quarters and 100 dimes, so the total amount of money from each machine is 80*25 + 100*10 = 2000 cents or $20.
## Step 2: Calculate the amount of money in one machine in cents
The amount of money in... | 3 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Richard can clean his room in 22 minut... | ## Step 1: Find the time Richard spends cleaning his room in one week.
Richard takes 22 minutes to clean his room. If he has to clean it twice a week, he spends 22 * 2 = 44 minutes per week.
## Step 2: Find the time Cory takes to clean her room in one week.
Cory takes 3 minutes more than Richard to clean her room. The... | \boxed{1244}
\textbf{Step-by-Step Reasoning:}
Let the time Richard spends cleaning his room in one week be R minutes.
Cory takes 22 + 3 = 25 minutes to clean her room.
Blake takes 25 – 4 = 21 minutes to clean his room.
Now, let us consider the number of minutes they spend each week cleaning their rooms in one week, so,... | 136 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A mother planted a 16-inch tree on her... | ## Step 1: Determine the rate at which the boy is growing.
Since the boy grew from 24 inches to 36 inches, the total growth in inches is 36 - 24 = 12 inches. Since the boy grows for one year, the rate of growth per inch per year is 12 / 12 = 1 inch per year.
## Step 2: Determine the number of inches the tree will grow... | ∎
## Step 1: Determine the rate at which the tree grows.
Since the tree grows twice as fast as the boy, and the boy was 24 inches tall when the tree was planted, the tree has already grown twice as much as the boy by the time the boy is 36 inches tall.
## Step 2: Calculate how much the tree has grown since it was p... | 40 | 2 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A printing press is printing brochures... | ## Step 1: Determine the total number of pages printed for the spreads.
The press prints 20 single-page spreads, and twice as many double-page spreads, which means there are 40 double-page spreads. So, the total number of pages printed for the spreads is 20 * 2 + 40 = 100.
## Step 2: Calculate the number of blocks of ... | This is a multiple-choice question.
A) 420
B) 420
C) 420
D) 420 x 3
E) 5 x 420
\boxed{420}
Let's solve it:
Let s represent the number of single-page spreads.
Then, 2s represents the number of double-page spreads.
The total number of pages the press is printing is 4s + 8(2s) = 20s
So, s + 16s = 20s
4s = 4s
Therefore... | 25 | 2 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Henry had some games, and he gave six ... | ## Step 1: To solve the problem, let's first establish the variables and the given information.
Let x be the number of games Henry had initially.
Let y be the number of games Neil had initially.
Given that Neil had 7 games at first, we know y = 7.
## Step 2: We are told that after Henry gave six of his games to Neil... | \boxed{21}
## Step 1: Understand the problem
We know that Henry gave 6 games to Neil, and now Henry has 4 times more games than Neil. We also know that Neil had 7 games initially.
## Step 2: Find out how many games Henry has now
To do this, we need to calculate 4 times the number of games Neil has. Neil has 7 games... | 58 | 3 | 2 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Nathan plays amateur baseball. He play... | ## Step 1: Calculate the total hours Nathan played for 2 weeks.
Nathan played 3 hours a day for 2 weeks, so the total hours for 2 weeks is 3 * 14 = 42 hours.
## Step 2: Calculate the total hours Tobias played for 1 week.
Tobias played 5 hours a day for 1 week, so the total hours for 1 week is 5 * 7 = 35 hours.
## Ste... | \boxed{1260}
## Step 1: Calculate the total hours Nathan played baseball
Nathan played for 3 hours a day for 14 days, so the total hours he played is 3 * 14 = 42 hours.
## Step 2: Calculate the total hours Tobias played baseball
Tobias played for 5 hours a day for 7 days, so the total hours he played is 5 * 7 = 35 ho... | 77 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
If the sum of two numbers is 33, and i... | ## Step 1: Let's assign variables to the two numbers.
Let's denote the first number as x and the second number as y.
## Step 2: Set up an equation based on the information given.
We know that the sum of the two numbers is 33, so we can write the equation as x + y = 33.
## Step 3: Set up another equation based on the ... | Solution:
Let x be the first number. Then the second number is 2x.
The sum of the two numbers is 33.
Therefore, x + 2x = 33
Three times x = 33
x = 11
Therefore, 2x = 22, so the second number is 22. \boxed{22} | 22 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
A jug is filled with 5 liters of water... | ## Step 1: Calculate the total amount of water in 4 jugs.
Since each jug contains 5 liters of water, 4 jugs will contain 4 * 5 = 20 liters of water.
## Step 2: Calculate the total amount of water in one bucket.
One bucket will contain 4 * 5 = 20 liters of water.
## Step 3: Calculate the total amount of water in 2 buc... | ## Step 1: First, let's calculate the total amount of water in 4 jugs.
4 jugs * 5 liters/jug = 20 liters
## Step 2: Now, we need to find the amount of water in one jug.
20 liters / 4 jugs = 5 liters/jug
## Step 3: Calculate the total amount of water in 2 buckets.
2 buckets * 5 liters/bucket = 10 liters
The final ans... | 40 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Anna goes trick-or-treating in a subdi... | Write your final answer as a number without any mathematical symbols or expressions.
**Final Answer:** 15
Let's follow the steps below:
## Step 1: Calculate the total number of pieces of candy Anna gets from the first subdivision.
Anna gets 14 pieces of candy per house and the first subdivision has 60 houses, so the... | Express your answer as a fraction with a denominator of 100.
\boxed{}\]
## Step 1: Calculate the number of pieces of candy Anna gets
Anna gets 14 pieces of candy per house in the subdivision. The subdivision has 60 houses, so she gets 14 * 60 = 840 pieces of candy.
## Step 2: Calculate the number of pieces of candy B... | 15 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
John climbs 3 staircases. The first s... | ----------------------------------
## Step 1: Identify the number of steps in each staircase
The first staircase has 20 steps, the next has twice as many as the first which is 20 * 2 = 40 steps, and the final staircase has 10 fewer than the second one which is 40 - 10 = 30 steps.
## Step 2: Calculate the total number... | \boxed{180}
Explanation:
Step 1: First staircase has 20 steps.
Step 2: Second staircase has 2 times 20 steps which equals 2*20 = 40 steps.
Step 3: Third staircase has 40 steps-10 steps which equals 40-10 = 30 steps.
Step 4: Total stairs equals 20+40+30 = 90 steps.
Step 5: Total feet climbed equals 90*0.5 feet whic... | 45 | 1 | 3 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
Donovan Mitchell is currently averagin... | ## Step 1: Calculate the total number of points Donovan Mitchell needs for the entire season.
To find the total number of points Donovan Mitchell needs for the entire season, we need to multiply the average points per game he aims for by the number of games he will play in the next season. total_points_needed = 30 * 20... | ## Step 1: Calculate the total points Donovan has so far.
First, we calculate the total number of points Donovan has scored so far in the 15 games: 26 points/game * 15 games = 390 points.
## Step 2: Calculate the total points Donovan needs in 20 games.
To reach his goal, Donovan needs to have a total of 30 points per ... | 42 | 1 | 2 | 0 |
You are a careful mathematical reasoner.
Solve the problem step-by-step.
Check each arithmetic computation carefully.
Keep the reasoning concise but complete.
Before giving the final answer, verify the result once more.
Output the final answer ONLY as:
\boxed{answer}.
Question:
25% of oysters have pearls in them. Ja... | ## Step 1: Determine the number of pearls in one oyster
First, let's figure out how many pearls one oyster has. Since 25% of the oysters have pearls in them, we can calculate the number of pearls in one oyster as follows:
25% of one oyster = 0.25
So, the number of pearls in one oyster is 0.25.
## Step 2: Determine the... | ## Step 1: First, we need to find the number of oysters that collect 56 pearls.
To do this, we know that 25% of oysters collect pearls, so the number of oysters that collect 1 pearl is 1/4 since 25% = 1/4.
## Step 2: Then, we need to find the total number of oysters that collect 1 pearl.
Since 25% of oysters have pearl... | 14 | 1 | 3 | 0 |
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