Problem: In the previous problem, suppose Maria was actually driving at an average speed of 11.0 miles per hour for 19 hours before she stopped for a break. After the break, she immediately continued for another 4.3 miles. What would then be the total distance in miles that Maria covered?

GPT-4o:

To find the total distance Maria covered, we need to calculate the distance she traveled during the 19 hours and then add the additional 4.3 miles.

First, we calculate the distance covered in the 19 hours:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
\[ \text{Distance} = 11.0 \, \text{miles per hour} \times 19 \, \text{hours} \]
\[ \text{Distance} = 209 \, \text{miles} \]

Next, we add the additional 4.3 miles:
\[ \text{Total Distance} = 209 \, \text{miles} + 4.3 \, \text{miles} \]
\[ \text{Total Distance} = 213.3 \, \text{miles} \]

### Answer: 213.3 miles

Expected answer: 213.300000000000

Correct? Yes

Problem: Suppose John initially started with 3 dollars instead of 1 dollar. He still multiplied his money by 17 by doing small jobs around his neighborhood. How much money would he have now?

GPT-4o:

To determine how much money John would have now, we need to multiply the new initial amount by 17.

John originally had $3.

Multiplying this by 17:
\[ 3 \times 17 = 51 \]

### Answer: $51

Expected answer: 51

Correct? Yes

Problem: In the previous scenario, instead of finding a $16 bill on the street, you found a $23 bill. How much money do you have in total now (considering the $47 you receive from your parent and the $25.93 in your savings account)?

GPT-4o:

Let's recalculate the total amount of money you have, considering the new amount found on the street.

1. Initial amount in your wallet: $24.49
2. Amount found on the street: $23.00
3. Amount received from your parent: $47.00

First, add the amount found on the street to the initial amount in your wallet:
\[ 24.49 + 23.00 = 47.49 \]

Next, add the amount received from your parent to the new total in your wallet:
\[ 47.49 + 47.00 = 94.49 \]

Now, let's add the amount in your savings account to this total:
1. Amount in your savings account: $25.93
2. Total amount in your wallet after receiving money: $94.49

Add these two amounts together:
\[ 94.49 + 25.93 = 120.42 \]

### Answer: $120.42

Expected answer: 120.420000000000

Correct? Yes

Problem: After receiving the $8 from his grandpa, Danny found $45 he had hidden in a secret compartment of his piggy bank last year. How much money does he now have in total?

GPT-4o:

To find out how much money Danny has in total, we need to add the amount he had after receiving the $8 from his grandpa to the $45 he found in his piggy bank.

Amount after receiving the gift from his grandpa: $57
Amount found in the piggy bank: $45

Total amount of money Danny has now:
\[ 57 + 45 = 102 \]

### Answer: $102

Expected answer: 102

Correct? Yes

Problem: If initially, Danny had saved up $49 and he received $17 instead of $8 from his grandpa, how much money would he have then?

GPT-4o:

To find out how much money Danny would have if he received $17 instead of $8 from his grandpa, we need to add the new gift amount to his initial savings.

Danny's initial savings: $49
New gift from his grandpa: $17

Total amount of money Danny would have:
\[ 49 + 17 = 66 \]

### Answer: $66

Expected answer: 66

Correct? Yes

Problem: If the car's fuel efficiency standard is 27 miles per gallon but it is falling short and only managing to travel the distance calculated in the previous problem per gallon, by how much is it falling short of the fuel efficiency standard?

GPT-4o:

To determine how much the car is falling short of the fuel efficiency standard, we need to subtract the actual miles per gallon from the standard miles per gallon.

Given:
- Fuel efficiency standard = 27 miles per gallon
- Actual miles per gallon (from the previous problem) = 17.79 miles per gallon

We perform the subtraction:

\[ \text{Shortfall} = 27 \text{ miles per gallon} - 17.79 \text{ miles per gallon} \]

\[ \text{Shortfall} = 9.21 \text{ miles per gallon} \]

### Answer: 9.21 miles per gallon

Expected answer: 9.21000000000000

Correct? Yes

Problem: Consider if the car initially had a larger amount of fuel, say 49 gallons instead of 43.6 gallons, and the car still traveled 775.644 miles. In this case, what would be the updated miles per gallon of the car?

GPT-4o:

To find the updated number of miles the car travels per gallon of fuel with the new amount of fuel, we need to divide the total distance traveled by the new total gallons of fuel used.

Given:
- Total distance traveled = 775.644 miles
- New total gallons of fuel used = 49 gallons

We perform the division:

\[ \text{Miles per gallon} = \frac{775.644 \text{ miles}}{49 \text{ gallons}} \]

Using a calculator:

\[ \text{Miles per gallon} \approx 15.83 \]

### Answer: 15.83 miles per gallon

Expected answer: 15.8294693877551

Correct? Yes

Problem: In the previous cycling competition, the cyclist had to travel 41 miles each day for 19 days and received a bonus of 38 miles. How many miles in total did he have to travel for that race?

GPT-4o:

To determine the total number of miles the cyclist had to travel in the previous cycling competition, we need to calculate the distance he covered over the 19 days and then add the bonus miles.

First, calculate the total distance for the 19 days:
\[ 41 \text{ miles/day} \times 19 \text{ days} = 779 \text{ miles} \]

Next, add the bonus miles:
\[ 779 \text{ miles} + 38 \text{ miles} = 817 \text{ miles} \]

### Answer: 817 miles

Expected answer: 817

Correct? Yes

Problem: In addition to his trips to the grocery store, Bob also drives an extra 36 miles each week to visit his grandmother. Taking into account his trips to the grocery store and his visits to his grandmother, how many miles does Bob drive in total every week?

GPT-4o:

We already calculated that Bob drives 36.6 miles each week for his trips to the grocery store.

Now, we need to add the extra 36 miles he drives each week to visit his grandmother.

The total distance Bob drives each week is the sum of the miles driven to the grocery store and the miles driven to visit his grandmother:

\[ 36.6 \text{ miles} + 36 \text{ miles} = 72.6 \text{ miles} \]

### Answer: 72.6 miles

Expected answer: 72.6000000000000

Correct? Yes

Problem: In a different scenario, Bob's grandmother lives 36 miles away, instead of the original distance. If Bob were still to visit her and return home three times a week, how many miles would he be driving in total just for these visits?

GPT-4o:

First, we need to determine the distance Bob travels for a single round trip to visit his grandmother. Since he travels 36 miles to her house and 36 miles back home, the total distance for one round trip is:

\[ 36 \text{ miles} + 36 \text{ miles} = 72 \text{ miles} \]

Next, we need to calculate the total distance Bob travels in a week if he makes this trip 3 times. We multiply the distance of one round trip by the number of trips he makes in a week:

\[ 72 \text{ miles/trip} \times 3 \text{ trips/week} = 216 \text{ miles/week} \]

### Answer: 216 miles

Expected answer: 216.000000000000

Correct? Yes

Problem: Following up on the previous scenario: suppose instead of spending your savings over 33.2 days, you decided to stretch the same amount over 47 days. How much would you have to spend each day now to keep within the same budget of $863.2?

GPT-4o:

To determine how much money you will spend each day if you stretch the same amount over 47 days, you need to divide the total amount of money in your bank account by the new number of days.

Given:
- Total amount in the bank account: $863.2
- Number of days: 47

We perform the division:

\[ \frac{863.2}{47} \]

Let's calculate this:

\[ 863.2 \div 47 \approx 18.36 \]

So, you will spend approximately $18.36 each day.

### Answer: $18.36

Expected answer: 18.3659574468085

Correct? Yes

Problem: After calculating the money left, Maria found an old wallet containing $38. How much money does Maria total have now?

GPT-4o:

First, we know from the previous calculation that Maria had $52.5 left after her expenses.

Now, she found an old wallet containing $38. To find the total amount of money Maria has now, we add the $38 to the $52.5 she already has:

\[ 52.5 + 38 = 90.5 \]

### Answer: 90.5

Expected answer: 90.5000000000000

Correct? Yes

Problem: If the cost of diesel is $22.49 per gallon and a truck uses 38.04 gallons on a trip, how much does the fuel for the trip cost in total? Now, suppose the truck's driver spends an additional $41.8 on snacks during the trip. How much is the total amount of money spent on the trip, after subtracting the cost of the snacks from the total cost of the fuel?

GPT-4o:

First, we calculate the total cost of the fuel for the trip.

Given:
- Cost per gallon of diesel = $22.49
- Number of gallons used = 38.04

We calculate the total cost of the fuel:
\[ \text{Total fuel cost} = 22.49 \times 38.04 \]
\[ \text{Total fuel cost} = 855.5796 \]

Rounding to the nearest cent, the total fuel cost is $855.58.

Next, we consider the additional cost of snacks:
- Cost of snacks = $41.80

To find the total amount of money spent on the trip after subtracting the cost of the snacks from the total cost of the fuel, we perform the following calculation:
\[ \text{Total amount spent} = \text{Total fuel cost} - \text{Cost of snacks} \]
\[ \text{Total amount spent} = 855.58 - 41.80 \]
\[ \text{Total amount spent} = 813.78 \]

### Answer: $813.78

Expected answer: 813.719600000000

Correct? Yes

Problem: In the previous problem, the truck was using 38.04 gallons of fuel for the trip. Now, instead of 22.49 gallons of diesel per trip, suppose that same truck is making 3 trips, each time consuming 38.04 gallons of fuel. How many gallons of fuel in total would the truck consume?

GPT-4o:

To find the total amount of fuel consumed by the truck over 3 trips, we need to multiply the amount of fuel used per trip by the number of trips.

Given:
- Fuel consumption per trip = 38.04 gallons
- Number of trips = 3

We calculate the total fuel consumption as follows:
\[ \text{Total fuel consumption} = \text{Fuel per trip} \times \text{Number of trips} \]
\[ \text{Total fuel consumption} = 38.04 \times 3 \]

Now, performing the multiplication:
\[ 38.04 \times 3 = 114.12 \]

Therefore, the truck would consume a total of 114.12 gallons of fuel over 3 trips.

### Answer: 114.12 gallons

Expected answer: 114.120000000000

Correct? Yes

Problem: Continuing from the previous problem, now let's say you also had individual donations amounting to $7. After receiving your salary, how much money did you have once you subtracted the total amount of your donations?

GPT-4o:

To determine the total amount of money you have after receiving your salary and subtracting the donations, follow these steps:

1. Calculate your earnings from the job:
\[
\text{Earnings} = \$13
\]

2. Add the donations to your earnings:
\[
\text{Total Money} = \text{Earnings} + \text{Donations}
\]
\[
\text{Total Money} = 13 + 7 = 20
\]

3. Since the problem states to subtract the total amount of your donations, we need to subtract the donations from the total money:
\[
\text{Final Amount} = \text{Total Money} - \text{Donations}
\]
\[
\text{Final Amount} = 20 - 7 = 13
\]

### Answer: $13

Expected answer: 6

Correct? No

Problem: Continuing from the previous scenario, imagine instead that your new job paid $4 per hour. How much would you earn if you worked for 1 hour?

GPT-4o:

To determine how much you will earn if you work for 1 hour at a rate of $4 per hour, you simply multiply the number of hours worked by the hourly rate.

\[
\text{Earnings} = \text{Hourly Rate} \times \text{Number of Hours Worked}
\]

Given:
\[
\text{Hourly Rate} = \$4
\]
\[
\text{Number of Hours Worked} = 1
\]

\[
\text{Earnings} = 4 \times 1 = 4
\]

### Answer: $4

Expected answer: 4

Correct? Yes

Problem: After finding the distance the vehicle travels per gallon of gas, if the number of miles it can travel per gallon is squared, what would be the resulting number?

GPT-4o:

We previously determined that the vehicle travels 24.52 miles per gallon of gas. To find the resulting number when this value is squared, we need to calculate:

\[ (24.52)^2 \]

Perform the calculation:

\[ 24.52 \times 24.52 = 600.0704 \]

### Answer: 600.0704

Expected answer: 601.230400000000

Correct? No

Problem: If the vehicle's gas tank held 20 gallons instead of 15 gallons, but it still traveled 367.8 miles on a full tank, how many miles would the vehicle travel per gallon of gas now?

GPT-4o:

To determine how many miles the vehicle travels per gallon of gas with a 20-gallon tank, we need to divide the total number of miles traveled by the new number of gallons of gas.

Given:
- Total miles traveled = 367.8 miles
- Total gallons of gas = 20 gallons

We use the formula:
\[ \text{Miles per gallon} = \frac{\text{Total miles traveled}}{\text{Total gallons of gas}} \]

Substituting the given values:
\[ \text{Miles per gallon} = \frac{367.8 \text{ miles}}{20 \text{ gallons}} \]

Perform the division:
\[ \text{Miles per gallon} = 18.39 \text{ miles per gallon} \]

### Answer: 18.39 miles per gallon

Expected answer: 18.3900000000000

Correct? Yes

Problem: After counting his money, John decides to deposit the money into his bank account. In the bank, he remembers that he already has $31.4 in his account. After depositing all of his money, how much does John have in his bank account?

GPT-4o:

To determine how much money John has in his bank account after depositing all of his money, we need to add the amount he already has in his account to the amount he is depositing.

1. John already has $31.4 in his bank account.
2. He is depositing $38.9 (the total amount he has after receiving money from his sister and finding the $3 bill).

We add these two amounts together:
\[ 31.4 + 38.9 = 70.3 \]

Therefore, after depositing all of his money, John has:
### Answer: $70.3

Expected answer: 70.3000000000000

Correct? Yes

Problem: If a drone flies at a constant speed of 7.8 km per hour for 24 hours and then continues to fly an additional 31 km, how far in total would it have traveled?

GPT-4o:

First, we calculate the distance the drone travels in the initial 24 hours at a constant speed of 7.8 km per hour.

Using the formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed = 7.8 km per hour
- Time = 24 hours

\[ \text{Distance} = 7.8 \, \text{km/hour} \times 24 \, \text{hours} \]

\[ \text{Distance} = 7.8 \times 24 \]

\[ \text{Distance} = 187.2 \, \text{km} \]

Next, we add the additional 31 km the drone flies after the initial 24 hours.

\[ \text{Total Distance} = 187.2 \, \text{km} + 31 \, \text{km} \]

\[ \text{Total Distance} = 218.2 \, \text{km} \]

### Answer: 218.2 km

Expected answer: 218.200000000000

Correct? Yes

Problem: If the drone was actually flying at a constant speed of 7.8 km per hour for 30 hours instead of 24 hours, without taking into account the additional 31 km it flew afterwards, how far in total would it have traveled in those 30 hours?

GPT-4o:

To determine how far the drone can travel in 30 hours at a constant speed of 7.8 km per hour, we use the formula for distance:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed = 7.8 km per hour
- Time = 30 hours

Substitute the given values into the formula:

\[ \text{Distance} = 7.8 \, \text{km/hour} \times 30 \, \text{hours} \]

Now, perform the multiplication:

\[ \text{Distance} = 7.8 \times 30 \]

\[ \text{Distance} = 234 \, \text{km} \]

### Answer: 234 km

Expected answer: 234.000000000000

Correct? Yes

Problem: Emily's grandmother has heard about her diligent savings and decides to contribute by giving her $1.53. Given the money she already has from chores and allowance, how much money does Emily now have in total?

GPT-4o:

To determine how much money Emily now has in total, we need to add the amount her grandmother gave her to the amount she already has from her chores and allowance.

Emily's current total from chores and allowance: $25.12
Contribution from her grandmother: $1.53

Now, we add these two amounts together:
\[ 25.12 + 1.53 = 26.65 \]

So, Emily now has $26.65 in total.

### Answer: $26.65

Expected answer: 26.6500000000000

Correct? Yes

Problem: Emily thought she was given $16.00 as a monthly allowance, but her mother actually gave her $47.00. Given the $9.12 she has from chores and the corrected amount of allowance, how much money does Emily now have in total?

GPT-4o:

To determine how much money Emily now has in total, we need to add the amount she saved from doing household chores to the corrected amount her mother gave her as a monthly allowance.

Emily's savings from household chores: $9.12
Corrected monthly allowance from her mother: $47.00

Now, we add these two amounts together:
\[ 9.12 + 47.00 = 56.12 \]

So, Emily now has $56.12 in total.

### Answer: $56.12

Expected answer: 56.1200000000000

Correct? Yes

Problem: John had $37.3 in his savings account. He went to the store and spent $8. How much money does he have left in his savings account? Later that day, his grandmother gives him $12.0 for his birthday. How much money does he have now in his savings account?

GPT-4o:

First, we need to determine how much money John has left in his savings account after spending $8.

Initial amount in savings account: $37.3
Amount spent: $8

Subtract the amount spent from the initial savings:
\[ 37.3 - 8 = 29.3 \]

Next, we need to add the $12.0 that his grandmother gave him to his remaining savings.

Remaining amount after spending: $29.3
Amount received from grandmother: $12.0

Add the amount received to the remaining savings:
\[ 29.3 + 12.0 = 41.3 \]

### Answer: $41.3

Expected answer: 41.3000000000000

Correct? Yes

Problem: In the original scenario, John had $37.3 in his savings. However, what if he had $40 instead, and he still went to the store and spent the same amount of $8. How much would he have left in his savings account then?

GPT-4o:

To determine how much money John would have left in his savings account if he initially had $40 and spent $8, we need to subtract the amount he spent from the initial amount.

Initial amount in savings account: $40
Amount spent: $8

Now, perform the subtraction:
\[ 40 - 8 = 32 \]

### Answer: $32

Expected answer: 32

Correct? Yes

Problem: Suppose Mary originally found the dress for $31 but still got an $8 discount. If she still wants to buy the same dress for her 1.77 twin sisters, how much would it cost her now?

GPT-4o:

First, let's determine the cost of the dress after the discount. Mary found the dress for $31 and received an $8 discount.

\[ \text{Cost after discount} = \$31 - \$8 = \$23 \]

Next, Mary wants to buy the same dress for her 1.77 twin sisters. To find the total cost, we multiply the cost of one dress by 1.77.

\[ \text{Total cost} = \$23 \times 1.77 \]

Now, let's perform the multiplication:

\[ 23 \times 1.77 = 23 \times (1 + 0.77) = 23 \times 1 + 23 \times 0.77 \]
\[ 23 \times 1 = 23 \]
\[ 23 \times 0.77 = 23 \times \frac{77}{100} = 23 \times 0.77 = 17.71 \]

Adding these together:

\[ 23 + 17.71 = 40.71 \]

### Answer: $40.71

Expected answer: 40.7100000000000

Correct? Yes

Problem: Suppose Harrison only had $43 in his bank account and he received another cash gift from his relatives which is $38.32 more than the original amount he had. If his grandmother didn't give him an extra $43, how much money does he have in his account now?

GPT-4o:

To determine how much money Harrison has in his account now, we need to add the original amount he had in his bank account to the cash gift from his relatives.

1. Harrison's original amount in his bank account: $43
2. Cash gift from his relatives: $38.32 more than the original amount

First, calculate the cash gift amount:
\[ \text{Cash gift} = 43 + 38.32 = 81.32 \]

Next, add this cash gift amount to the original amount in his bank account:
\[ \text{Total amount} = 43 + 81.32 = 124.32 \]

### Answer: $124.32

Expected answer: 124.320000000000

Correct? Yes

Problem: In the relay race, let's reconsider the scenario. This time, instead of running 31 miles, Spike now ran 32 miles. Combining the distances that Tom ran (8.4 miles) and Jerry ran (43.4 miles), how many total miles did the team run now?

GPT-4o:

To find the total miles run by the team with the updated distance for Spike, we need to add the distances run by Tom, Jerry, and Spike.

First, let's add the distances run by Tom and Jerry:
\[ 8.4 \text{ miles} + 43.4 \text{ miles} = 51.8 \text{ miles} \]

Next, we add the updated distance run by Spike:
\[ 51.8 \text{ miles} + 32 \text{ miles} = 83.8 \text{ miles} \]

Therefore, the total miles that the team have run now is:
### Answer: 83.8 miles

Expected answer: 83.8000000000000

Correct? Yes

Problem: In the previous problem, David decided to save 984.4 dollars over 23 weeks. But what if David actually only had 28 dollars to begin with? How much would he have to save each week then?

GPT-4o:

If David only has 28 dollars to begin with and he wants to save this amount over 23 weeks, we need to divide the total amount of money he has by the number of weeks.

David has a total of 28 dollars and he wants to save this amount over 23 weeks.

We perform the division:
\[ \frac{28}{23} \]

Let's calculate this step-by-step:

1. Divide 28 by 23:
\[ 28 \div 23 \approx 1.217 \]

So, David would need to save approximately 1.217 dollars each week.

### Answer: 1.217 dollars

Expected answer: 28/23

Correct? No

Problem: Following her original plan, Zara managed to save $29 each week for 17 weeks for her summer trip. Then, she unexpectedly received an extra $31 from her grandma. How much money does she now have in total for her trip?

GPT-4o:

First, we calculate the total amount Zara saved over 17 weeks:

\[
29 \text{ dollars/week} \times 17 \text{ weeks} = 493 \text{ dollars}
\]

Next, we add the extra $31 she received from her grandma to her savings:

\[
493 \text{ dollars} + 31 \text{ dollars} = 524 \text{ dollars}
\]

### Answer: $524

Expected answer: 524

Correct? Yes

Problem: Zara originally planned to save $29 each week for 17 weeks, but she had to adjust and only save $22 each week instead. How much money would she have saved at the end of the 17 weeks with her adjusted saving plan?

GPT-4o:

To determine how much money Zara saved with her adjusted saving plan, we need to multiply the new amount she saved each week by the number of weeks she saved.

Zara saved $22 each week for 17 weeks. Therefore, we calculate the total savings as follows:

\[
22 \text{ dollars/week} \times 17 \text{ weeks} = 374 \text{ dollars}
\]

### Answer: $374

Expected answer: 374

Correct? Yes

Problem: If Samuel decides to fill 43 barrels with the same quantity of paint as before, how many liters of paint will he need in total?

GPT-4o:

We already know that each barrel contains 22 liters of paint. To find out how many liters of paint Samuel will need for 43 barrels, we multiply the number of barrels by the amount of paint per barrel.

Given:
- Paint per barrel = 22 liters
- Number of barrels = 43

We perform the multiplication:
\[ 22 \text{ liters/barrel} \times 43 \text{ barrels} = 946 \text{ liters} \]

### Answer: 946 liters.

Expected answer: 946

Correct? Yes

Problem: If Samuel had started with only 176 liters of paint and decided to distribute it evenly into 29 barrels instead of 43, how many liters of paint would there be in each barrel?

GPT-4o:

To determine how many liters of paint will be in each barrel, we need to divide the total amount of paint by the number of barrels.

Given:
- Total paint = 176 liters
- Number of barrels = 29

We perform the division:
\[ \frac{176 \text{ liters}}{29 \text{ barrels}} \approx 6.07 \text{ liters per barrel} \]

### Answer: 6.07 liters per barrel.

Expected answer: 176/29

Correct? No

Problem: Following the previous situation, after buying the shirts, Mark decided to also purchase a tie which cost him $6.62. How much did he end up spending in total for the shirts and the tie?

GPT-4o:

First, we know from the previous calculation that Mark spent $492 on the shirts. Now, we need to add the cost of the tie, which is $6.62.

\[ 492 + 6.62 = 498.62 \]

### Answer: $498.62

Expected answer: 498.620000000000

Correct? Yes

Problem: Going back to the initial scenario, suppose the number of shirts Mark bought was 39 instead of 29, with each shirt still costing $17. He still received a $1 discount on the total cost. How much did he pay in total for the shirts now?

GPT-4o:

First, we need to calculate the total cost of the 39 shirts without the discount. Each shirt costs $17, so we multiply the number of shirts by the cost per shirt:

\[ 39 \times 17 \]

To simplify the multiplication, we can break it down:

\[ 39 \times 17 = 39 \times (10 + 7) = (39 \times 10) + (39 \times 7) \]

Calculating each part:

\[ 39 \times 10 = 390 \]
\[ 39 \times 7 = 273 \]

Adding these together:

\[ 390 + 273 = 663 \]

Next, we apply the $1 discount to the total cost:

\[ 663 - 1 = 662 \]

### Answer: $662

Expected answer: 662

Correct? Yes

Problem: After Sarah's purchase of books and the magazine, she decided to buy a board game which costs $30.3. What is the final total cost of Sarah's purchases?

GPT-4o:

To find the final total cost of Sarah's purchases, we need to add the cost of the board game to the previous total cost of the books and the magazine.

The previous total cost was $260.91. The cost of the board game is $30.3.

We add these amounts together:
\[ 260.91 + 30.3 = 291.21 \]

Therefore, the final total cost of Sarah's purchases is:
### Answer: $291.21

Expected answer: 291.210000000000

Correct? Yes

Problem: Suppose that instead of the books costing $27.99 each, they actually cost $50 each. Now, how much will the total cost be for the 9 books and the magazine?

GPT-4o:

To find the total cost of Sarah's purchase with the new book price, we need to calculate the cost of the 9 books at $50 each and then add the cost of the magazine.

First, we calculate the cost of the 9 books:
\[ 9 \text{ books} \times \$50 \text{ per book} = 9 \times 50 = 450 \]

Next, we add the cost of the magazine:
\[ 450 + 9 = 459 \]

Therefore, the total cost of Sarah's purchase is:
### Answer: $459

Expected answer: 459

Correct? Yes

Problem: After counting her money, Susan then spent $12.18 on a new book. How much money does she have left after buying the book?

GPT-4o:

Susan initially has 48 dollars. She then spends $12.18 on a new book.

To find out how much money she has left, we subtract the amount spent from her initial total:
\[ 48 - 12.18 \]

First, let's align the numbers for proper subtraction:
\[ 
  48.00 \\
- 12.18 \\
\]

Performing the subtraction:
\[ 
  48.00 \\
- 12.18 \\
\------
  35.82 \\
\]

Therefore, after buying the book, Susan has $35.82 left.

### Answer: 35.82

Expected answer: 35.8200000000000

Correct? Yes

Problem: Let's revise Susan's story a bit. Suppose that instead of finding 14 dollars in her desk drawer, she only found 6 dollars. If she still earned another 23 dollars from chores, how much money would she have then?

GPT-4o:

First, let's determine the total amount of money Susan has after adding the 6 dollars she found in her desk drawer to her purse.

Susan initially has 11 dollars in her purse.
She found 6 dollars in her desk drawer.

Adding these amounts together:
\[ 11 + 6 = 17 \]

Next, Susan earned an additional 23 dollars from doing chores.

Adding this to the previous total:
\[ 17 + 23 = 40 \]

Therefore, the total amount of money Susan has now is 40 dollars.

### Answer: 40

Expected answer: 40

Correct? Yes

Problem: Susan had $46 in her wallet. After she spent $45 on a new toy robot, her mother noticed her sadness for having only $1 left and decided to give her the same amount as she initially had ($46). How much money does Susan have now?

GPT-4o:

First, we determine how much money Susan had left after spending $45 on the toy robot:
\[ 46 - 45 = 1 \]

Next, her mother gave her an additional $46. To find out how much money Susan has now, we add the $46 her mother gave her to the $1 she had left:
\[ 1 + 46 = 47 \]

### Answer: 47

Expected answer: 47

Correct? Yes

Problem: Instead of spending $45 on a toy robot, what if Susan decided to save a bit more money and spent only $40 on a less expensive robot? How much money would she have left in her wallet now?

GPT-4o:

To determine how much money Susan has left in her wallet after spending $40 on a less expensive robot, we need to subtract the amount she spent from the amount she originally had.

Susan originally had $46.
She spent $40 on the less expensive robot.

So, the calculation is:
\[ 46 - 40 = 6 \]

### Answer: 6

Expected answer: 6

Correct? Yes

Problem: What if Alex initially had $45 in his piggy bank instead of $35.79, then received the same $8 from his grandma. How much money does he have now?

GPT-4o:

To determine how much Alex has now after receiving his birthday money, we need to add the amount his grandma gave him to the new initial amount he had saved.

Alex's new initial savings: $45.00
Birthday money from grandma: $8.00

Now, we add these two amounts together:
\[ 45.00 + 8.00 = 53.00 \]

### Answer: $53.00

Expected answer: 53

Correct? Yes

Problem: John used $4 of his total money to pay for a bus ticket. How much money does he have left now?

GPT-4o:

To determine how much money John has left after spending $4 on a bus ticket, we need to subtract the amount he spent from his total money.

John's total money after receiving $8 from his mother: $45
Amount spent on the bus ticket: $4

Now, we subtract the amount spent from the total amount:
\[ 45 - 4 = 41 \]

### Answer: $41

Expected answer: 41

Correct? Yes

Problem: After Jim adds his pocket money of $2.2 to his savings account total of $43.59, he decides to deposit an additional $25.2 that he earned from helping his neighbor with yard work. How much money does he have in his savings account now?

GPT-4o:

To determine the total amount of money Jim has in his savings account after all deposits, we need to add the amounts sequentially.

First, we add his pocket money to his initial savings:
\[ 43.59 + 2.20 = 45.79 \]

Next, we add the additional $25.20 he earned from helping his neighbor:
\[ 45.79 + 25.20 = 70.99 \]

### Answer: $70.99

Expected answer: 70.9900000000000

Correct? Yes

Problem: After helping his neighbor with yard work, instead of starting with $43.59, Jim only had $29 in his savings account initially. After adding his pocket money of $2.2, how much money does he have in his savings account now?

GPT-4o:

To determine how much money Jim has in his savings account after receiving his pocket money, we need to add the pocket money to his initial savings.

Jim's initial savings: $29.00
Pocket money received: $2.20

Now, we add these two amounts together:
\[ 29.00 + 2.20 = 31.20 \]

### Answer: $31.20

Expected answer: 31.2000000000000

Correct? Yes

Problem: In the previous scenario, John had $36.92 in his wallet and received an additional $18.42 from his grandmother. But what if instead of getting $18.42, John only got $6 from his grandmother for his birthday. How much money does John have now?

GPT-4o:

To determine how much money John has now, we need to add the amount he originally had to the new amount he received from his grandmother.

John's original amount: $36.92
Amount received from his grandmother: $6.00

We perform the addition:

\[
36.92 + 6.00 = 42.92
\]

So, John now has $42.92.

### Answer: $42.92

Expected answer: 42.9200000000000

Correct? Yes

Problem: Sarah decided to not deposit $39 but only a total of $31 to add to her existing savings of $38.45. If she still received the gift of $44.5, how much money does she now have in total?

GPT-4o:

To find out how much money Sarah now has in total with the updated amounts, we need to follow these steps:

1. Start with the initial amount in her savings account:
   \[
   \$38.45
   \]

2. Add the updated amount she decided to deposit:
   \[
   \$38.45 + \$31 = \$69.45
   \]

3. Add the gift amount she received:
   \[
   \$69.45 + \$44.50 = \$113.95
   \]

So, the total amount of money Sarah now has is:
### Answer: $113.95

Expected answer: 113.950000000000

Correct? Yes

Problem: Tom decided to save a little more and added $1 to his total savings. How much money does he have now in total?

GPT-4o:

To find out how much money Tom now has in total after adding $1 to his previous savings, we need to add $1 to the amount he had before.

Previous total savings: $40.74
Amount added: $1.00

Now, we add these two amounts together:
\[ 40.74 + 1.00 = 41.74 \]

### Answer: $41.74

Expected answer: 41.7400000000000

Correct? Yes

Problem: After careful consideration, Tom realized he initially had $18, not $17.44. If he found the same $23.3 on the street, how much would he have in total now?

GPT-4o:

To find out how much money Tom now has in total, we need to add the amount he found to his revised savings.

Tom's revised savings: $18.00
Amount found: $23.30

Now, we add these two amounts together:
\[ 18.00 + 23.30 = 41.30 \]

### Answer: $41.30

Expected answer: 41.3000000000000

Correct? Yes

Problem: Continuing from the previous problem, if a car consumes 615 liters of gas every 41 hours, and it has consumed gas for 30 hours. But because of a leak, it lost 46.33 liters of that gas. How many liters of gas remain in the car?

GPT-4o:

To determine how many liters of gas remain in the car after accounting for the leak, we need to follow these steps:

1. Calculate the total gas consumption in 30 hours (as previously determined):
\[
\text{Total gas consumption in 30 hours} = 450 \text{ liters}
\]

2. Subtract the amount of gas lost due to the leak:
\[
\text{Remaining gas} = 450 \text{ liters} - 46.33 \text{ liters} = 403.67 \text{ liters}
\]

### Answer: 403.67 liters

Expected answer: 403.670000000000

Correct? Yes

Problem: Continuing from the previous problem, what if the car's fuel consumption rate was instead 615 liters every 23 hours? How many liters of gas would it consume in 30 hours at this new rate?

GPT-4o:

To determine how many liters of gas the car will consume in 30 hours at the new rate, we first need to find the car's gas consumption rate per hour with the updated information.

1. Calculate the gas consumption rate per hour with the new rate:
\[
\text{Gas consumption rate} = \frac{615 \text{ liters}}{23 \text{ hours}} = 26.7391 \text{ liters per hour} \quad (\text{rounded to 4 decimal places})
\]

2. Use the gas consumption rate to find the total consumption in 30 hours:
\[
\text{Total gas consumption in 30 hours} = 26.7391 \text{ liters per hour} \times 30 \text{ hours} = 802.173 \text{ liters}
\]

### Answer: 802.173 liters

Expected answer: 18450/23

Correct? No

Problem: Kaden thought back and realized he actually started with $13 in his piggy bank instead of $9.9 before adding the $30.3. How much money would he have had in his piggy bank then?

GPT-4o:

To find out how much money Kaden would have had in his piggy bank with the corrected initial amount, we need to add the new initial amount to the amount he added.

Corrected initial amount in the piggy bank: $13
Amount added: $30.3

Now, we add these two amounts together:
\[ 13 + 30.3 = 43.3 \]

So, with the corrected initial amount, Kaden would have had $43.3 in his piggy bank.

### Answer: $43.3

Expected answer: 43.3000000000000

Correct? Yes

Problem: Following on from the previous problem, Joe found a toy he wanted to buy for $35.44. After spending $34, how much more money does he need in order to buy the toy?

GPT-4o:

First, we need to determine how much money Joe has left after spending $34. From the previous problem, we know Joe has $8.9 left.

Next, we need to find out how much more money Joe needs to buy the toy that costs $35.44. We do this by subtracting the amount of money Joe has from the cost of the toy.

\[ 35.44 - 8.9 \]

To perform this subtraction, we can align the decimal points:

\[ 
\begin{array}{r}
  35.44 \\
-  8.90 \\
\hline
  26.54 \\
\end{array}
\]

So, Joe needs $26.54 more to buy the toy.

### Answer: $26.54

Expected answer: 26.5400000000000

Correct? Yes

Problem: Following on from the previous problem, suppose Joe originally had $43 in his wallet instead of $42.9. After spending $34, how much money does Joe have left in his wallet now?

GPT-4o:

To determine how much money Joe has left in his wallet after spending $34, we need to subtract the amount he spent from the new amount he originally had.

Joe originally had $43.
He spent $34.

Now, we perform the subtraction:
\[ 43 - 34 = 9 \]

So, Joe has $9 left in his wallet.

### Answer: $9

Expected answer: 9

Correct? Yes

Problem: In addition to your monthly car payment and insurance, you also budget $7.4 each month for car maintenance. What, then, would be your total monthly expense related to your car taking into account payment for the car itself, insurance, and maintenance?

GPT-4o:

To find the total monthly expense related to your car, we need to add the monthly car payment, the insurance cost, and the maintenance budget.

From the previous calculation, we know:
- Monthly car payment: $15.56
- Monthly insurance cost: $41.35

Now, we add the monthly maintenance budget of $7.4.

First, let's sum the car payment and insurance:
\[ 15.56 + 41.35 = 56.91 \]

Next, we add the maintenance budget:
\[ 56.91 + 7.4 = 64.31 \]

So, the total monthly expense related to your car is:
### Answer: 64.31

Expected answer: 64.3100000000000

Correct? Yes

Problem: What if instead of $303.5756, the total cost of your car was only $41, and you decided to pay it off in 19.51 equal monthly installments. If you still add $41.35 for your monthly car insurance, how much would be your total monthly spending for your car payment and insurance then?

GPT-4o:

First, let's calculate the monthly installment for the car. The total cost of the car is $41, and it is to be paid off in 19.51 monthly installments.

To find the amount of each monthly installment, we divide the total cost by the number of installments:
\[ \text{Monthly installment} = \frac{41}{19.51} \]

Using a calculator:
\[ \text{Monthly installment} \approx 2.10 \]

Next, we add the cost of car insurance to the monthly installment. The car insurance costs $41.35 per month.

So, the total monthly payment for the car and insurance is:
\[ \text{Total monthly payment} = 2.10 + 41.35 \]

Adding these amounts together:
\[ \text{Total monthly payment} = 43.45 \]

### Answer: 43.45

Expected answer: 43.4514864172219

Correct? Yes

Problem: After initially having $28.2 plus $8, John decides to count his money again and realizes he actually started with $35 and still received $8 from his friend. How much money does he have now in total?

GPT-4o:

To find out how much money John has now, we need to add the corrected initial amount to the amount he received from his friend.

John initially had $35 in his wallet.
He received an additional $8 from his friend.

Now, we add these two amounts together:
\[ 35 + 8 = 43 \]

### Answer: $43

Expected answer: 43

Correct? Yes

Problem: Lisa has a twin sister, Mona, who also has exactly the same amount of farmland as Lisa does. If Lisa has 30.3 acres of farmland and she recently bought another plot of 5.9 acres, how much total land do Lisa and Mona have combined now, considering that they both have the same amount of land?

GPT-4o:

First, we need to determine the total acreage of Lisa's farmland after her recent purchase.

Original farmland: 30.3 acres
Newly bought plot: 5.9 acres

Total acreage for Lisa = 30.3 acres + 5.9 acres = 36.2 acres

Since Mona has exactly the same amount of farmland as Lisa, Mona also has 36.2 acres.

To find the combined total acreage of both Lisa and Mona, we add their individual acreages together:

Total acreage for Lisa and Mona = 36.2 acres (Lisa) + 36.2 acres (Mona)

\[ 36.2 + 36.2 = 72.4 \]

### Answer: 72.4 acres

Expected answer: 72.4000000000000

Correct? Yes

Problem: In addition to the money John saved from his allowance and his birthday gift, he also earned $20.9 from mowing the neighbor's lawn. How much money does John have in total now?

GPT-4o:

To find out how much money John has in total now, we need to add the amount he saved from his weekly allowance, the amount his grandmother gave him as a gift, and the amount he earned from mowing the neighbor's lawn.

From the previous calculation, we know:
- John saved $16 from his weekly allowance.
- His grandmother gave him $25.17 as a gift.

Additionally, he earned $20.9 from mowing the neighbor's lawn.

Now, we add these three amounts together:
\[ 16 + 25.17 + 20.9 \]

First, add $16 and $25.17:
\[ 16 + 25.17 = 41.17 \]

Next, add $41.17 and $20.9:
\[ 41.17 + 20.9 = 62.07 \]

### Answer: $62.07

Expected answer: 62.0700000000000

Correct? Yes

Problem: Joanna is saving money to buy a new bike. She decides to save $32.2 each week. One day, she had to use $34.52 from her saved money. After saving for 17.38 weeks, taking into account the money she used, how much money will she have left?

GPT-4o:

To determine how much money Joanna will have left after saving for 17.38 weeks and using $34.52, we need to follow these steps:

1. Calculate the total amount saved over 17.38 weeks.
2. Subtract the amount she used from the total saved.

First, calculate the total amount saved:
\[ \text{Amount saved per week} = \$32.2 \]
\[ \text{Number of weeks} = 17.38 \]

\[ \text{Total amount saved} = 32.2 \times 17.38 \]

Perform the multiplication:
\[ 32.2 \times 17.38 = 559.636 \]

Next, subtract the amount she used:
\[ \text{Amount used} = \$34.52 \]

\[ \text{Amount left} = 559.636 - 34.52 \]

Perform the subtraction:
\[ 559.636 - 34.52 = 525.116 \]

So, Joanna will have $525.116 left after saving for 17.38 weeks and using $34.52.

### Answer: $525.116

Expected answer: 525.116000000000

Correct? Yes

Problem: Joanna is saving money to buy a new bike. She plans to save $32.2 each week. What if, instead of saving for 17.38 weeks as it was originally intended, she decides to only save for 15 weeks. How much money will she have by then?

GPT-4o:

To determine how much money Joanna will have saved after 15 weeks, we need to multiply the amount she saves each week by the number of weeks.

Given:
- Amount saved per week = $32.2
- Number of weeks = 15

We perform the multiplication:
\[ 32.2 \times 15 \]

Let's calculate this step-by-step:

\[ 32.2 \times 15 = 32.2 \times (10 + 5) \]
\[ = 32.2 \times 10 + 32.2 \times 5 \]

Now, calculate each part separately:

\[ 32.2 \times 10 = 322 \]
\[ 32.2 \times 5 = 161 \]

Adding these two results together:

\[ 322 + 161 = 483 \]

So, Joanna will have saved $483 after 15 weeks.

### Answer: $483

Expected answer: 483.000000000000

Correct? Yes

Problem: John originally had 32 dollars in his wallet, not 48. After spending 18 dollars on a book, how much money does he have left in his wallet now?

GPT-4o:

To determine how much money John has left in his wallet after buying the book, we need to subtract the cost of the book from the amount of money he originally had.

John originally had 32 dollars.
The book cost him 18 dollars.

So, we perform the subtraction:
\[ 32 - 18 = 14 \]

### Answer: 14 dollars.

Expected answer: 14

Correct? Yes

Problem: If originally, I had $46 instead of $38 and after I bought the same toy for $3, then I was given the exact same amount of $40. How much money do I have in total now?

GPT-4o:

Let's break down the problem step by step:

1. Initially, you have $46.
2. You bought a toy for $3, so you spent $3. The amount of money you have left after buying the toy is:
   \[
   46 - 3 = 43
   \]
3. After that, you were given $40. Adding this to the amount you have left:
   \[
   43 + 40 = 83
   \]

### Answer: $83

Expected answer: 83

Correct? Yes

Problem: If initially, instead of increasing her distance by 2 miles in the second week, Sally had decided to increase her mileage by 41 miles. How many miles would she have run in the second week?

GPT-4o:

To determine how many miles Sally would have run in the second week if she increased her mileage by 41 miles, we need to add the additional distance to the distance she ran in the first week.

Sally ran 38.5 miles in the first week. If she decided to increase her distance by 41 miles in the second week, the calculation would be:

\[ 38.5 \text{ miles} + 41 \text{ miles} = 79.5 \text{ miles} \]

### Answer: 79.5 miles

Expected answer: 79.5000000000000

Correct? Yes

Problem: After buying the pesticide, the farmer receives a discount coupon that allows him to save $26. After applying the coupon, how much does he spend in total for the 17 bottles of pesticide?

GPT-4o:

To determine the total amount the farmer spends after applying the discount coupon, we need to subtract the value of the coupon from the total cost of the 17 bottles of pesticide.

From the previous calculation, we know the total cost of the 17 bottles is $272.17. The discount coupon saves him $26. Therefore, we calculate:

\[ 272.17 - 26 = 246.17 \]

So, after applying the coupon, the farmer spends $246.17 in total for the 17 bottles of pesticide.

### Answer: $246.17

Expected answer: 246.170000000000

Correct? Yes

Problem: The farmer is considering a different pesticide that costs $23 per bottle. If the farmer were to buy 17 bottles of this other pesticide instead, how much would it cost him in total?

GPT-4o:

To determine the total cost if the farmer buys 17 bottles of the pesticide that costs $23 per bottle, we need to multiply the cost per bottle by the number of bottles:

\[ 23 \times 17 \]

We can break this multiplication down into simpler steps:

\[ 23 \times 17 = 23 \times (10 + 7) \]
\[ = 23 \times 10 + 23 \times 7 \]

Now, calculate each part separately:

\[ 23 \times 10 = 230 \]
\[ 23 \times 7 = 161 \]

Add these two results together:

\[ 230 + 161 = 391 \]

So, if the farmer buys 17 bottles of the pesticide that costs $23 per bottle, it would cost him $391 in total.

### Answer: $391

Expected answer: 391

Correct? Yes

Problem: Jim spent $28 on groceries and then $44.99 on a new shirt. Later, he decided to buy a book for $18.16. How much money did he spend in total?

GPT-4o:

To find the total amount of money Jim spent, we need to add the amounts he spent on groceries, the new shirt, and the book.

First, we note the amounts:
- Groceries: $28
- New shirt: $44.99
- Book: $18.16

Now, we add these three amounts together:
\[ 28 + 44.99 + 18.16 \]

We can break this down step-by-step:
\[ 28 + 44.99 = 72.99 \]
\[ 72.99 + 18.16 = 91.15 \]

So, the total amount Jim spent is $91.15.

### Answer: $91.15

Expected answer: 91.1500000000000

Correct? Yes

Problem: In the first shopping trip, Jim spent $28 on groceries and then $44.99 on a new shirt. On a later trip, he spent $28 on groceries again, but this time he bought a different shirt for $41. How much money did he spend in total on the second trip?

GPT-4o:

To find the total amount of money Jim spent on the second trip, we need to add the amount he spent on groceries to the amount he spent on the different shirt.

First, we note the amounts for the second trip:
- Groceries: $28
- Different shirt: $41

Now, we add these two amounts together:
\[ 28 + 41 = 69 \]

### Answer: $69

Expected answer: 69

Correct? Yes

Problem: Continuing from the previous scenarios, let's say John initially had $31 in his savings account instead of $13.8. After doing his chores, his mom gives him an additional $3. How much money would John have in his savings account then?

GPT-4o:

To determine how much money John would have in his savings account with the new initial amount, we need to add the additional money his mom gave him to the new initial amount.

John initially has $31 in his savings account.
His mom gives him an additional $3.

Now, we add these two amounts together:
\[ 31 + 3 = 34 \]

### Answer: $34

Expected answer: 34

Correct? Yes

Problem: Consider the same situation as before, but this time, John initially has $4 in his wallet instead of $19 and again he finds $5 on the street. After adding this to his wallet, he again discovers a forgotten envelope with $27.97 in it, which he also adds to his wallet. He then heads to the same collector's flea market. If he still purchases 17 vintage comic books, each at the new total amount in his wallet, how much does he spend this time on the comic books?

GPT-4o:

First, let's determine the total amount of money John has before he buys the comic books.

1. John starts with $4 in his wallet.
2. He finds $5 on the street and adds it to his wallet:
   \[
   4 + 5 = 9
   \]
3. He discovers an envelope with $27.97 and adds it to his wallet:
   \[
   9 + 27.97 = 36.97
   \]

Now, John has $36.97 in his wallet. He buys 17 vintage comic books, each costing the total amount he currently has in his wallet ($36.97).

To find the total amount he spends on the comic books, we multiply the cost of one comic book by the number of comic books:
\[
36.97 \times 17
\]

Let's perform the multiplication:
\[
36.97 \times 17 = 36.97 \times (10 + 7) = (36.97 \times 10) + (36.97 \times 7)
\]
\[
36.97 \times 10 = 369.70
\]
\[
36.97 \times 7 = 258.79
\]
\[
369.70 + 258.79 = 628.49
\]

### Answer: 628.49

Expected answer: 628.490000000000

Correct? Yes

Problem: Previously, John had $35.6 in his wallet and spent $32 on a chocolate bar. But what if instead, John had initially the same amount of money but decided to buy a different item that only cost $7. After these expenses, he received the same amount of $46.3 from his friend and $12.9 from his grandmother as in the previous situation. How much money does he have in his wallet in this scenario?

GPT-4o:

Let's break down the problem step by step for this new scenario:

1. John starts with $35.6 in his wallet.
2. He buys an item that costs $7, so we subtract this amount from his initial money:
   \[
   35.6 - 7 = 28.6
   \]
   Now, John has $28.6 left in his wallet.

3. John receives $46.3 from his friend, which is added to his wallet:
   \[
   28.6 + 46.3 = 74.9
   \]
   Now, John has $74.9 in his wallet.

4. His grandmother gives him an extra $12.9, which is also added to his wallet:
   \[
   74.9 + 12.9 = 87.8
   \]

So, the total amount of money John has in his wallet now is $87.8.

### Answer: $87.8

Expected answer: 87.8000000000000

Correct? Yes

Problem: Following the previous problem about the car's mileage, if the car originally travelled a total of 436.23179999999996 miles with 17 gallons of gas instead of 46.26, what would have been the car's average mileage per gallon of gas used?

GPT-4o:

To find the car's average mileage per gallon of gas used with the new amount of gas, we need to divide the total distance traveled by the new total gallons of gas used.

Given:
- Total distance traveled = 436.23179999999996 miles
- New total gallons of gas used = 17 gallons

We perform the division:

\[
\text{Average mileage per gallon} = \frac{\text{Total distance traveled}}{\text{Total gallons of gas used}} = \frac{436.23179999999996}{17}
\]

Using a calculator to perform the division:

\[
\frac{436.23179999999996}{17} \approx 25.66
\]

### Answer: 25.66 miles per gallon

Expected answer: 25.6606941176471

Correct? Yes

Problem: After running for 43 hours at a speed of 6.4 mph, Sammy finds that his GPS unit was not fully calibrated and may overstate his distance by about 10 miles. What would be the revised distance he traveled according to the GPS?

GPT-4o:

To find the revised distance Sammy traveled according to the GPS, we need to subtract the overstatement from the initially calculated distance.

Initially calculated distance:
\[ 275.2 \, \text{miles} \]

Overstatement by the GPS:
\[ 10 \, \text{miles} \]

Revised distance:
\[ 275.2 \, \text{miles} - 10 \, \text{miles} \]

Perform the subtraction:
\[ 275.2 - 10 = 265.2 \]

So, the revised distance Sammy traveled according to the GPS is 265.2 miles.

### Answer: 265.2 miles

Expected answer: 265.200000000000

Correct? Yes

Problem: If Sammy had only run for 2 hours instead of 43 at a speed of 6.4 mph, how far would he have travelled?

GPT-4o:

To determine how far Sammy would travel if he runs for 2 hours at a speed of 6.4 mph, we use the same distance formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed = 6.4 mph
- Time = 2 hours

We can plug these values into the formula:

\[ \text{Distance} = 6.4 \, \text{mph} \times 2 \, \text{hours} \]

Now, perform the multiplication:

\[ \text{Distance} = 6.4 \times 2 = 12.8 \]

So, Sammy would travel 12.8 miles.

### Answer: 12.8 miles

Expected answer: 12.8000000000000

Correct? Yes

Problem: If John initially had only 27 dollars instead of 50 dollars, and he still spent 24 dollars on a video game, how much money would he have left?

GPT-4o:

To determine how much money John would have left if he initially had $27 and spent $24 on a video game, we need to subtract the amount he spent from his initial amount.

Starting amount: $27
Amount spent: $24

Calculation:
\[ 27 - 24 = 3 \]

So, John would have $3 left.

### Answer: 3

Expected answer: 3

Correct? Yes

Problem: John's twin brother Jacob, who also had $6.3 in his piggy bank and found a $39 bill on the street, decided to combine his money with John's. How much money do they have together now?

GPT-4o:

First, we need to determine how much money Jacob has. Since Jacob had $6.3 in his piggy bank and found a $39 bill, we add these amounts together:

\[ 6.3 + 39 = 45.3 \]

Next, we know that John also has $45.3, as calculated previously. To find the total amount of money they have together, we add John's total to Jacob's total:

\[ 45.3 + 45.3 = 90.6 \]

### Answer: $90.6

Expected answer: 90.6000000000000

Correct? Yes

Problem: Roger decided to convert the amount of money he spent on lunch to another currency where the exchange rate is $2.47 per dollar. How much would his lunch cost in this new currency?

GPT-4o:

To convert the amount Roger spent on lunch to the new currency, we need to multiply the amount he spent by the exchange rate.

Amount spent on lunch: $18.5
Exchange rate: $2.47 per dollar

The cost in the new currency is calculated as follows:
\[ 18.5 \times 2.47 = 45.695 \]

### Answer: 45.695

Expected answer: 45.6950000000000

Correct? Yes

Problem: Roger initially thought he had $45 in his wallet, not $47. Given this, how much money did he actually spend on lunch?

GPT-4o:

To determine how much money Roger actually spent on lunch, we need to subtract the amount of money he had left after lunch from the correct initial amount he had.

Initial amount: $47
Amount left after lunch: $28.5

The amount spent on lunch is calculated as follows:
\[ 47 - 28.5 = 18.5 \]

Roger's initial thought of having $45 does not change the actual amount he spent. The correct calculation remains based on the actual initial amount of $47.

### Answer: $18.5

Expected answer: 16.5000000000000

Correct? No

Problem: Suppose instead of giving Jack $30 on his birthday instead of $10.28. Now, how much money does Jack have before he goes to the toy store?

GPT-4o:

To find out how much money Jack has now, we need to add the amount he already has to the new amount his grandma gave him.

Jack already has $29.
His grandma gives him $30.

We add these two amounts together:
\[ 29 + 30 \]

Performing the addition:
\[ 29 + 30 = 59 \]

### Answer: $59

Expected answer: 59

Correct? Yes

Problem: John originally had $18.4 in his wallet, but instead of spending $3.73 on a candy bar, what if he spent $9? Then his mom gave him $33.4 and he later spent $28 on a new video game. How much money does he have left now?

GPT-4o:

Let's break down the problem step by step with the new spending amount:

1. John starts with $18.4 in his wallet.
2. He spends $9 on a candy bar. To find out how much he has left after this purchase, we subtract $9 from $18.4:
   \[
   18.4 - 9 = 9.4
   \]
3. Later that day, his mom gives him $33.4. To find out his new total, we add $33.4 to the amount he has left:
   \[
   9.4 + 33.4 = 42.8
   \]
4. Finally, he spends $28 on a new video game. To find out how much he has left after this purchase, we subtract $28 from $42.8:
   \[
   42.8 - 28 = 14.8
   \]

### Answer: 14.8

Expected answer: 14.8000000000000

Correct? Yes

Problem: Following the previous problem, Joseph also bought a VIP experience for each movie ticket, which adds $14.3 to the cost of each ticket. How much does each movie ticket now cost, including the VIP experience?

GPT-4o:

To find the new cost of each movie ticket including the VIP experience, we need to add the cost of the VIP experience to the original cost of each movie ticket.

Original cost per movie ticket: $18.49
Cost of VIP experience per ticket: $14.3

New cost per movie ticket = Original cost per movie ticket + Cost of VIP experience
\[ \text{New cost per movie ticket} = 18.49 + 14.3 \]

Performing the addition:
\[ \text{New cost per movie ticket} = 32.79 \]

### Answer: $32.79

Expected answer: 32.7900000000000

Correct? Yes

Problem: In the previous problem, if Joseph had actually paid $721.11 for only 6 movie tickets, what would be the cost of each ticket then?

GPT-4o:

To find the cost of each movie ticket, we need to divide the total amount Joseph paid by the number of movie tickets he bought.

Total amount paid: $721.11
Number of movie tickets: 6

Cost per movie ticket = Total amount paid / Number of movie tickets
\[ \text{Cost per movie ticket} = \frac{721.11}{6} \]

Performing the division:
\[ \text{Cost per movie ticket} = 120.185 \]

### Answer: $120.19

Expected answer: 120.185000000000

Correct? Yes

Problem: After spending money on fruits and snacks, the customer also bought a kitchen appliance that cost him $35.31. How much total money did he spend on all the items?

GPT-4o:

To find the total amount of money the customer spent on all the items, we need to add the cost of the kitchen appliance to the total cost of the fruits and snacks.

From the previous calculation, the total cost of the fruits and snacks was:
\[ 383.542 \, \text{dollars} \]

Now, add the cost of the kitchen appliance:
\[ \text{Total cost} = 383.542 \, \text{dollars} + 35.31 \, \text{dollars} \]

\[ \text{Total cost} = 418.852 \, \text{dollars} \]

### Answer: 418.852 dollars

Expected answer: 418.852000000000

Correct? Yes

Problem: In the previous shopping scenario, if instead of buying 34.2 pounds of fruits, the customer bought 47 pounds of fruits while keeping the price per pound and the cost of snacks the same, how much total money would he have spent then?

GPT-4o:

To find the total amount of money the customer would have spent with the new quantity of fruits, we need to calculate the cost of the fruits and then add the cost of the snacks.

First, calculate the cost of the fruits:
\[ \text{Cost of fruits} = 47 \, \text{pounds} \times 11.01 \, \text{dollars per pound} \]

\[ \text{Cost of fruits} = 47 \times 11.01 \]

\[ \text{Cost of fruits} = 517.47 \, \text{dollars} \]

Next, add the cost of the snacks:
\[ \text{Total cost} = \text{Cost of fruits} + \text{Cost of snacks} \]

\[ \text{Total cost} = 517.47 + 7 \]

\[ \text{Total cost} = 524.47 \, \text{dollars} \]

### Answer: 524.47 dollars

Expected answer: 524.470000000000

Correct? Yes

Problem: Following the previous scenario, after traveling for 3.6 hours, the car continues to travel for another 30.0 km. What is the total distance traveled by the car?

GPT-4o:

To find the total distance traveled by the car, we need to add the distance traveled in the first 3.6 hours to the additional 30.0 km traveled afterward.

From the previous calculation, we know that the car traveled 172.8 km in the first 3.6 hours.

Now, we add the additional distance:

\[ \text{Total Distance} = 172.8 \, \text{km} + 30.0 \, \text{km} \]

Perform the addition:

\[ \text{Total Distance} = 202.8 \, \text{km} \]

### Answer: 202.8 km

Expected answer: 202.800000000000

Correct? Yes

Problem: Following the previous scenario, suppose the car had traveled at a speed of 46 km per hour instead of 48 km. How far would the car have traveled after 3.6 hours?

GPT-4o:

To determine how far the car would have traveled at a speed of 46 km per hour over 3.6 hours, we use the same distance formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed = 46 km/h
- Time = 3.6 hours

Substitute the given values into the formula:

\[ \text{Distance} = 46 \, \text{km/h} \times 3.6 \, \text{hours} \]

Now, perform the multiplication:

\[ \text{Distance} = 46 \times 3.6 \]

\[ \text{Distance} = 165.6 \, \text{km} \]

### Answer: 165.6 km

Expected answer: 165.600000000000

Correct? Yes

Problem: Based on the previous problem where a cyclist pedaled a certain distance after a break, assume now the cyclist repeats the same cycle for 7 days. How much distance, in kilometers, does the cyclist cover after resuming from the break over these 7 days?

GPT-4o:

From the previous problem, we know that the cyclist pedals 11.6 kilometers after resuming from the break each day.

To find the total distance covered after resuming from the break over 7 days, we multiply the daily distance by the number of days:

Distance pedaled after the break each day: 11.6 kilometers
Number of days: 7

Total distance = 11.6 km/day * 7 days
= 81.2 kilometers

### Answer: 81.2 kilometers

Expected answer: 81.2000000000000

Correct? Yes

Problem: Based on the previous problem, now assume that on each of these 7 days, the cyclist pedals for 50.0 kilometers total, but now takes a break after covering 40 kilometers. How much distance, in kilometers, does the cyclist cover after resuming from the break each day?

GPT-4o:

To determine how much distance the cyclist covers after resuming from the break each day, we need to subtract the distance covered before the break from the total distance pedaled each day.

Total distance pedaled each day: 50.0 kilometers
Distance covered before the break each day: 40.0 kilometers

Distance pedaled after the break each day = Total distance pedaled each day - Distance covered before the break each day
= 50.0 km - 40.0 km
= 10.0 km

### Answer: 10.0 kilometers

Expected answer: 10.0000000000000

Correct? Yes

Problem: The delivery driver now realizes that his shift was 18 hours long, not 17 hours, for the 67.66-mile long journey. How far does he now calculate his average distance driven per hour?

GPT-4o:

To determine the new average distance driven per hour, we need to divide the total distance traveled by the corrected total time.

Given:
- Total distance = 67.66 miles
- Corrected total time = 18 hours

We use the formula for average speed:
\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} \]

Substituting the given values:
\[ \text{Average speed} = \frac{67.66 \text{ miles}}{18 \text{ hours}} \]

Perform the division:
\[ \text{Average speed} = 3.7589 \text{ miles per hour} \]

Rounding to two decimal places:
\[ \text{Average speed} \approx 3.76 \text{ miles per hour} \]

### Answer: 3.76 miles per hour

Expected answer: 3.75888888888889

Correct? Yes

Problem: Suppose initially Maria had saved up $19. Then, instead of receiving $43 from her birthday, she only received $28. After buying the same book that costs $40, how much money will she have left?

GPT-4o:

First, let's determine the total amount of money Maria has after receiving $28 from her birthday.

Maria initially has $19. After receiving $28, her total amount of money is:
\[ 19 + 28 = 47 \]

Next, we need to find out how much money Maria will have left after buying a book that costs $40.

Subtract the cost of the book from her total amount of money:
\[ 47 - 40 = 7 \]

### Answer: 7

Expected answer: 7

Correct? Yes

Problem: Mia has $41 saved from her birthday. She babysat for a neighbour and earned an additional $24.7. After gathering her savings, she decided to buy a new book that cost $38.6. How much money does she have left after buying the book?

GPT-4o:

First, we need to determine the total amount of money Mia has before buying the book. We already calculated this in the previous problem:

Total money before buying the book:
\[ 41 + 24.7 = 65.7 \]

Next, we subtract the cost of the book from her total money:
\[ 65.7 - 38.6 = 27.1 \]

### Answer: $27.1

Expected answer: 27.1000000000000

Correct? Yes

Problem: Instead of $41 from her birthday, suppose Mia had only managed to save $35. Including her earnings of $24.7 from babysitting, how much money does she now have in total?

GPT-4o:

To determine Mia's total amount of money, we need to add her new birthday savings to her earnings from babysitting.

Mia's new birthday savings: $35
Earnings from babysitting: $24.7

Now, we add these two amounts together:
\[ 35 + 24.7 = 59.7 \]

### Answer: $59.7

Expected answer: 59.7000000000000

Correct? Yes

Problem: In addition to his other expenses, John decided to buy twenty raffle tickets for a charity event. Each ticket cost the same as the total amount of money he had spent earlier. How much money did John spend on the raffle tickets?

GPT-4o:

First, we need to determine the cost of each raffle ticket. According to the problem, each raffle ticket costs the same as the total amount of money John had spent earlier, which is $43.

John bought twenty raffle tickets, so we need to calculate the total cost of these tickets:
\[ 20 \text{ tickets} \times 43 \text{ dollars per ticket} = 860 \text{ dollars} \]

Therefore, the total amount of money John spent on the raffle tickets is:
### Answer: 860 dollars.

Expected answer: 860.000000000000

Correct? Yes

Problem: John spent 12 dollars on lunch and an additional 5 dollars on a dessert. After lunch, he went to a clothing store and was contemplating buying a shirt. However, instead of the $26.00 shirt he bought previously, he decided to buy a more expensive shirt that costs $49. What would be the total amount of money spent in this scenario?

GPT-4o:

To find the total amount of money John spent in this scenario, we need to add up all his expenses.

First, we add the cost of lunch and dessert:
\[ 12 \text{ dollars} + 5 \text{ dollars} = 17 \text{ dollars} \]

Next, we add the cost of the more expensive shirt:
\[ 17 \text{ dollars} + 49 \text{ dollars} = 66 \text{ dollars} \]

Therefore, the total amount of money John spent is:
### Answer: 66 dollars.

Expected answer: 66

Correct? Yes

Problem: After depositing a total of $23 + $44.5 over two days, Laura decided to take out $9 for lunch. How much money does she have left in her account now?

GPT-4o:

First, we need to determine the total amount of money Laura deposited over the two days, which we already calculated as $67.5.

Next, we subtract the amount she took out for lunch:
\[ 67.5 - 9 = 58.5 \]

### Answer: $58.5

Expected answer: 58.5000000000000

Correct? Yes

Problem: Consider that initially, instead of depositing $23, Laura had only deposited $4 to her bank account on Monday, but still went ahead to deposit an additional $44.5 on Tuesday. How much money did she deposit in total over those two days?

GPT-4o:

To find the total amount of money Laura deposited over the two days with the new amounts, we need to add the amounts she deposited on each day.

On Monday, Laura deposited $4.
On Tuesday, she deposited an additional $44.5.

Now, we add these two amounts together:
\[ 4 + 44.5 = 48.5 \]

### Answer: $48.5

Expected answer: 48.5000000000000

Correct? Yes

Problem: After saving $43.36 each week for 13 weeks, John received a surprise gift of $9.6 from his grandmother. How much money does he have in total now?

GPT-4o:

First, we already calculated that John saved a total of $563.68 over 13 weeks by saving $43.36 each week.

Now, we need to add the surprise gift of $9.60 from his grandmother to this total amount.

\[ 563.68 + 9.60 \]

Let's perform the addition:

\[ 563.68 + 9.60 = 573.28 \]

So, after receiving the gift, John has a total of $573.28.

### Answer: $573.28

Expected answer: 573.280000000000

Correct? Yes

Problem: Instead of saving $43.36 each week, suppose John has been saving only $23 each week for the same duration of 13 weeks. How much money would he have saved by the end of this period?

GPT-4o:

To determine how much money John would have saved if he saved $23 each week for 13 weeks, we need to multiply the weekly savings amount by the number of weeks.

John saves $23 each week, and he has been saving for 13 weeks. Therefore, we calculate:

\[ 23 \times 13 \]

First, let's break it down step-by-step:

\[ 23 \times 13 = 23 \times (10 + 3) \]
\[ = 23 \times 10 + 23 \times 3 \]

Now, calculate each part separately:

\[ 23 \times 10 = 230 \]
\[ 23 \times 3 = 69 \]

Add these two results together:

\[ 230 + 69 = 299 \]

So, John would have saved a total of $299.

### Answer: $299

Expected answer: 299

Correct? Yes

Problem: Mandy decided to buy a book that cost $19.79. How much money does she have left after buying the book?

GPT-4o:

To determine how much money Mandy has left after buying the book, we need to subtract the cost of the book from the total amount of money she has.

Total money Mandy has: $42.3
Cost of the book: $19.79

Now, we perform the subtraction:
\[ 42.3 - 19.79 \]

Let's align the numbers by their decimal points and subtract:
\[ 
42.30 
-19.79 
\]
First, subtract the hundredths place:
\[ 0 - 9 \] (we need to borrow from the tenths place)
\[ 10 - 9 = 1 \]

Next, subtract the tenths place:
\[ 2 - 7 \] (we need to borrow from the units place)
\[ 12 - 7 = 5 \]

Then, subtract the units place:
\[ 1 - 9 \] (we need to borrow from the tens place)
\[ 11 - 9 = 2 \]

Finally, subtract the tens place:
\[ 3 - 1 = 2 \]

So, the result is:
\[ 22.51 \]

Therefore, Mandy has $22.51 left after buying the book.

### Answer: $22.51

Expected answer: 22.5100000000000

Correct? Yes

Problem: Mandy's father decided to be more generous and instead gave her $31. How much money would she have in total then?

GPT-4o:

To find out how much money Mandy would have in total if her father gave her $31, we need to add the amount she saved from her part-time job to the new amount her father gave her.

Mandy's savings: $29.7
New amount given by her father: $31

Now, we add these two amounts together:
\[ 29.7 + 31 \]

Let's perform the addition step-by-step:
\[ 29.7 + 31 = 60.7 \]

So, Mandy would have $60.7 in total.

### Answer: $60.7

Expected answer: 60.7000000000000

Correct? Yes

Problem: John used 38 dollars out of his total savings to purchase a new video game. How much money does John now have left in his savings?

GPT-4o:

To determine how much money John has left in his savings after purchasing the video game, we need to subtract the amount he spent from his total savings.

John's total savings after receiving money from his grandmother: $52.57
Amount spent on the video game: $38.00

Now, we subtract the amount spent from his total savings:
\[ 52.57 - 38.00 = 14.57 \]

So, John now has $14.57 left in his savings account.

### Answer: 14.57

Expected answer: 14.5700000000000

Correct? Yes

Problem: In the previous situation, where the bakery made 10 loaves of bread every hour for continuous 36 hours, if they decided to donate 45 loaves to a local food bank, how many loaves of bread would they have left?

GPT-4o:

To determine how many loaves of bread the bakery would have left after donating 45 loaves, we first need to calculate the total number of loaves made and then subtract the number of loaves donated.

From the previous calculation, we know:
- The bakery made 360 loaves of bread in 36 hours.

Given:
- The bakery donates 45 loaves to a local food bank.

Calculation:
\[ \text{Loaves left} = \text{Total loaves} - \text{Donated loaves} \]
\[ \text{Loaves left} = 360 \, \text{loaves} - 45 \, \text{loaves} \]
\[ \text{Loaves left} = 315 \, \text{loaves} \]

### Answer: 315

Expected answer: 315

Correct? Yes

Problem: In the earlier situation, where the bakery made loaves of bread continuously for 36 hours and each hour they created 10 loaves, what if they improved their efficiency such that they now made 21 loaves every hour? How many loaves of bread would they produce in 36 hours with this increased efficiency?

GPT-4o:

To determine the total number of loaves of bread made with the increased efficiency, we need to multiply the new number of loaves made per hour by the number of hours the oven is working.

Given:
- The bakery now makes 21 loaves of bread every hour.
- The oven works continuously for 36 hours.

Calculation:
\[ \text{Total loaves of bread} = \text{Loaves per hour} \times \text{Number of hours} \]
\[ \text{Total loaves of bread} = 21 \, \text{loaves/hour} \times 36 \, \text{hours} \]
\[ \text{Total loaves of bread} = 756 \, \text{loaves} \]

### Answer: 756

Expected answer: 756

Correct? Yes

Problem: John has saved up $30.02 in his piggy bank. His grandmother gave him $38.9 for his birthday, so now he has a certain amount of money. If he manages to save up six times the amount he has now, how much money will he have in total?

GPT-4o:

First, we need to determine the total amount of money John has after receiving the gift from his grandmother.

John's savings: $30.02
Gift from grandmother: $38.90

Adding these amounts together:
\[ 30.02 + 38.90 = 68.92 \]

Now, John wants to save up six times this amount. To find this, we multiply the total amount by 6:
\[ 68.92 \times 6 \]

Let's perform the multiplication:
\[ 68.92 \times 6 = 413.52 \]

### Answer: $413.52

Expected answer: 413.520000000000

Correct? Yes

Problem: John originally had $30.02 saved up in his piggy bank, but instead of his grandmother giving him $38.9 for his birthday, she gave him $13. How much money does John have now in his piggy bank?

GPT-4o:

To determine how much money John has now in his piggy bank, we need to add the amount he originally saved to the amount his grandmother gave him.

John's savings: $30.02
Gift from grandmother: $13.00

Now, we add these two amounts together:
\[ 30.02 + 13.00 \]

First, let's add the dollars:
\[ 30 + 13 = 43 \]

Next, let's add the cents:
\[ 0.02 + 0.00 = 0.02 \]

Now, combine the dollars and cents:
\[ 43 + 0.02 = 43.02 \]

### Answer: $43.02

Expected answer: 43.0200000000000

Correct? Yes

Problem: You already finished a 23.0-kilometer route. If you continue for another 17.2 kilometers, what will be your total travel distance? Afterward, if you have a 48.2-kilometer course to finish, how many more kilometers do you need to travel to complete the course?

GPT-4o:

First, let's determine the total travel distance after continuing for another 17.2 kilometers.

The distance already traveled is 23.0 kilometers.
The additional distance to be traveled is 17.2 kilometers.

Adding these two distances together:
\[ 23.0 + 17.2 = 40.2 \]

Next, we need to find out how many more kilometers are needed to complete the 48.2-kilometer course.

The total course distance is 48.2 kilometers.
The distance already traveled is 40.2 kilometers.

Subtracting the distance already traveled from the total course distance:
\[ 48.2 - 40.2 = 8.0 \]

### Answer: 8.0 kilometers.

Expected answer: 8.00000000000000

Correct? Yes

Problem: You already finished a 23.0-kilometer route. What if instead you had a longer route that was 48 kilometers before added to your already traveled distance of 23 kilometers, what would your total travel distance have been in that scenario?

GPT-4o:

To find the total travel distance in the new scenario, we need to add the distance already traveled to the longer route distance.

The distance already traveled is 23.0 kilometers.
The longer route distance is 48.0 kilometers.

Now, we add these two distances together:
\[ 23.0 + 48.0 = 71.0 \]

### Answer: 71.0 kilometers.

Expected answer: 71.0000000000000

Correct? Yes

Problem: Bob is driving a car at a speed of 8.0 miles per hour. If he drives for 3.9 hours, he will have driven a certain number of miles. After driving for a while, he stops for a break, during which his car cools down by 21 miles of equivalent energy consumption. What's the equivalent distance for the energy remaining in his car?

GPT-4o:

To determine the equivalent distance for the energy remaining in Bob's car after his break, we need to first calculate the total distance he drove before the break and then subtract the equivalent distance of energy consumption during the break.

1. Calculate the total distance driven before the break:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
\[ \text{Distance} = 8.0 \, \text{miles/hour} \times 3.9 \, \text{hours} \]
\[ \text{Distance} = 31.2 \, \text{miles} \]

2. Subtract the equivalent distance of energy consumption during the break:
\[ \text{Remaining Distance} = \text{Total Distance} - \text{Energy Consumption} \]
\[ \text{Remaining Distance} = 31.2 \, \text{miles} - 21 \, \text{miles} \]
\[ \text{Remaining Distance} = 10.2 \, \text{miles} \]

### Answer: 10.2 miles

Expected answer: 10.2000000000000

Correct? Yes

Problem: Initially, Bob was driving a car at a speed of 8.0 miles per hour for 3.9 hours. Now, consider that instead of driving for 3.9 hours, he drove for 26 hours. How many miles would he have driven then?

GPT-4o:

To determine how many miles Bob would have driven if he drove for 26 hours at a speed of 8.0 miles per hour, we use the same distance formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed = 8.0 miles per hour
- Time = 26 hours

We substitute these values into the formula:

\[ \text{Distance} = 8.0 \, \text{miles/hour} \times 26 \, \text{hours} \]

Now, we perform the multiplication:

\[ \text{Distance} = 8.0 \times 26 = 208 \, \text{miles} \]

### Answer: 208 miles

Expected answer: 208.000000000000

Correct? Yes

Problem: After the train has travelled for 8 hours at a speed of 47.1 miles per hour, it suddenly has to take a detour that reduces the total distance travelled by 21.2 miles. What is the final distance travelled by the train?

GPT-4o:

First, we need to determine the initial distance the train traveled in 8 hours at a speed of 47.1 miles per hour. We already calculated this in the previous problem:

\[ \text{Initial Distance} = 47.1 \, \text{miles/hour} \times 8 \, \text{hours} = 376.8 \, \text{miles} \]

Next, we need to account for the detour that reduces the total distance by 21.2 miles. To find the final distance traveled, we subtract the detour distance from the initial distance:

\[ \text{Final Distance} = 376.8 \, \text{miles} - 21.2 \, \text{miles} \]

Perform the subtraction:

\[ \text{Final Distance} = 376.8 - 21.2 = 355.6 \, \text{miles} \]

### Answer: 355.6 miles

Expected answer: 355.600000000000

Correct? Yes

Problem: What if the train had to travel for 16 hours instead of 8 at the same speed of 47.1 miles per hour? How far would it travel then?

GPT-4o:

To determine how far the train will travel in 16 hours at the same speed of 47.1 miles per hour, we use the same distance formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed = 47.1 miles per hour
- Time = 16 hours

Substitute the given values into the formula:

\[ \text{Distance} = 47.1 \, \text{miles/hour} \times 16 \, \text{hours} \]

Now, perform the multiplication:

\[ \text{Distance} = 47.1 \times 16 \]
\[ \text{Distance} = 753.6 \, \text{miles} \]

### Answer: 753.6 miles

Expected answer: 753.600000000000

Correct? Yes

Problem: In the previous scenario of the same online video game, before obtaining the artifact, you originally started with 13 health points instead of 18. An enemy hits you and you lose 3.4 health points. For every remaining health point, your character's strength level increases by a 46 points multiplier. What would have been the strength level of your character after the enemy hit, but before obtaining the artifact, if you had originally started with 13 health points?

GPT-4o:

First, we need to determine how many health points remain after the enemy hits you. You start with 13 health points and lose 3.4 health points:

\[ 13 - 3.4 = 9.6 \]

Next, we calculate the strength levels based on the remaining health points. Each remaining health point increases the strength level by a multiplier of 46 points:

\[ 9.6 \times 46 = 441.6 \]

### Answer: 441.6

Expected answer: 441.600000000000

Correct? Yes

Problem: John saw a sale on his favorite books and decided to buy 8 books using the money he had in his wallet. If each book cost the amount equal to the money he had in his wallet, how much did he spend on books?

GPT-4o:

Let's first determine the cost of each book. According to the problem, each book costs the same amount as the money John had in his wallet, which is $59.03.

John decided to buy 8 books. Therefore, the total amount he spent on books is calculated by multiplying the cost of one book by the number of books he bought:

\[ 59.03 \times 8 = 472.24 \]

### Answer: 472.24

Expected answer: 472.240000000000

Correct? Yes

Problem: John initially thought he had $29.33 in his wallet, but it turns out he only had $5. After spending $7.3 out of his $37 bank balance, he again added the remaining money from his bank account to his wallet. Now, how much money does he have in his wallet?

GPT-4o:

First, let's determine how much money John had left in his bank account after spending $7.3 out of $37.

Amount left in the bank account:
\[ 37 - 7.3 = 29.7 \]

Next, John decided to put the remaining $29.7 from his bank account into his wallet. Initially, he had $5 in his wallet.

Total money in his wallet after adding the remaining bank account money:
\[ 5 + 29.7 = 34.7 \]

### Answer: 34.7

Expected answer: 34.7000000000000

Correct? Yes

Problem: Jenny later decided to purchase a video game for $42 from her savings account. How much money does she have left in her account after buying the video game?

GPT-4o:

Let's determine how much money Jenny has left after purchasing the video game.

1. Jenny currently has $52.6 in her savings account.
2. She decides to purchase a video game for $42. We need to subtract this amount from her current savings:
   \[
   52.6 - 42 = 10.6
   \]

Therefore, after buying the video game, Jenny has $10.6 left in her savings account.

### Answer: $10.6

Expected answer: 10.6000000000000

Correct? Yes

Problem: What if on Jenny's birthday she received $27 instead of $26 and then she still spent $22 on a new book. How much money does she have now in her savings account in that case?

GPT-4o:

Let's update the calculations based on the new information:

1. Jenny initially had $48.6 in her savings account.
2. On her birthday, she received an additional $27. So, we add this amount to her initial savings:
   \[
   48.6 + 27 = 75.6
   \]

3. After a few days, Jenny spent $22 on a new book. We subtract this amount from her current savings:
   \[
   75.6 - 22 = 53.6
   \]

Therefore, the amount of money Jenny has now in her savings account is $53.6.

### Answer: $53.6

Expected answer: 53.6000000000000

Correct? Yes

Problem: Using the money left in Jerry's bank account after buying a snack, he decides to buy a book. If the book costs $36, how much more money does he need to buy the book?

GPT-4o:

First, we know that Jerry has $26.76 left in his bank account after buying the snack.

The cost of the book is $36. 

To find out how much more money Jerry needs, we subtract the amount he has from the cost of the book:
\[ 36.00 - 26.76 = 9.24 \]

### Answer: $9.24

Expected answer: 9.24000000000000

Correct? Yes

Problem: In the previous situation, suppose Jerry had initially $19 in his bank account instead of $23.7. After his mom gives him $7.56 and he buys a snack for $4.5, how much money does he have left in his bank account now?

GPT-4o:

First, let's determine the total amount of money Jerry has after his mom gives him an additional $7.56.

Starting amount: $19.00
Additional amount from mom: $7.56

Total amount after receiving money from mom:
\[ 19.00 + 7.56 = 26.56 \]

Next, we subtract the cost of the snack Jerry buys, which is $4.50.

Total amount after buying the snack:
\[ 26.56 - 4.50 = 22.06 \]

### Answer: $22.06

Expected answer: 22.0600000000000

Correct? Yes

Problem: In the previous scenario, you discovered that you'd actually found 25 of these rare coins in your grandmother's house, not just 3. Each coin can still be sold for 10 dollars and the auction fees remain at 5.1 dollars. How much money will you have left after paying the auction fees?

GPT-4o:

First, let's determine the total amount of money you receive from selling the 25 rare coins. Each coin can be sold for $10, so:

\[ 25 \text{ coins} \times 10 \text{ dollars/coin} = 250 \text{ dollars} \]

Next, we need to subtract the auction fees from the total amount received. The auction fees are $5.1, so:

\[ 250 \text{ dollars} - 5.1 \text{ dollars} = 244.9 \text{ dollars} \]

### Answer: 244.9 dollars

Expected answer: 244.900000000000

Correct? Yes

Problem: In the previous problem, Maria saved $20 last week. Instead of saving an additional $22.88 this week, she was only able to save $17. Now, how much money has Maria saved in total?

GPT-4o:

To determine the total amount of money Maria has saved, we need to add the amount she saved last week to the amount she saved this week.

Last week, Maria saved $20.
This week, Maria saved $17.

Adding these amounts together:
\[ 20 + 17 = 37 \]

### Answer: $37

Expected answer: 37

Correct? Yes

Problem: Jake has stopped into a boutique where shirts are priced at $33 each. He buys 2.4 times this amount in clothing. Adding to that, Jake also found a hat he liked for $19.53. How much did he spend in total?

GPT-4o:

To determine how much Jake spent in total, we need to calculate the cost of the clothing and then add the cost of the hat.

First, we find the cost of the clothing:
\[ \text{Price of one shirt} = \$33 \]
\[ \text{Total amount spent on clothing} = 33 \times 2.4 \]

Performing the multiplication:
\[ 33 \times 2.4 = 33 \times (2 + 0.4) = 33 \times 2 + 33 \times 0.4 \]
\[ 33 \times 2 = 66 \]
\[ 33 \times 0.4 = 13.2 \]

Adding these two results together:
\[ 66 + 13.2 = 79.2 \]

Next, we add the cost of the hat:
\[ \text{Cost of the hat} = \$19.53 \]
\[ \text{Total amount spent} = 79.2 + 19.53 \]

Performing the addition:
\[ 79.2 + 19.53 = 98.73 \]

### Answer: $98.73

Expected answer: 98.7300000000000

Correct? Yes

Problem: In the previous scenario, Jake bought 2.4 times the amount of clothing priced at $33 each. This time, however, the shirts are priced at $45 each. If Jake still buys 2.4 times this amount in clothing, how much will he spend now?

GPT-4o:

To determine how much Jake will spend with the new shirt price, we need to calculate 2.4 times the price of one shirt at $45 each.

First, we find the price of one shirt:
\[ \text{Price of one shirt} = \$45 \]

Next, we multiply this price by 2.4:
\[ \text{Total amount spent} = 45 \times 2.4 \]

Performing the multiplication:
\[ 45 \times 2.4 = 45 \times (2 + 0.4) = 45 \times 2 + 45 \times 0.4 \]
\[ 45 \times 2 = 90 \]
\[ 45 \times 0.4 = 18 \]

Adding these two results together:
\[ 90 + 18 = 108 \]

### Answer: $108.00

Expected answer: 108.000000000000

Correct? Yes

Problem: Suppose Sarah initially had $36.4 instead of $19.0 in her savings account. After her neighbor gave her an additional $19.0 for her help in the garden, and her grandmother gifted her $36, how much money does she now have in her account?

GPT-4o:

To determine how much money Sarah has now, we need to add the amounts she received to her initial savings.

1. Start with the initial amount in her savings account:
   \[
   \$36.4
   \]

2. Add the money she earned by helping her neighbor:
   \[
   \$36.4 + \$19.0 = \$55.4
   \]

3. Add the surprise gift from her grandmother:
   \[
   \$55.4 + \$36 = \$91.4
   \]

### Answer: $91.4

Expected answer: 91.4000000000000

Correct? Yes

Problem: Jenny realized that she actually found $49 under her bed instead of $40.44. Keeping in mind that she still has saved $18 in her piggy bank and earned $48 from selling lemonade during summer, how much money does Jenny now have in total?

GPT-4o:

To find out how much money Jenny has in total with the updated amount she found under her bed, we need to add the amounts she has saved, found, and earned.

1. Jenny has saved $18.
2. She found $49 under her bed.
3. She earned $48 from selling lemonade.

Now, we add these amounts together:

\[ 18 + 49 + 48 \]

First, add $18 and $49:

\[ 18 + 49 = 67 \]

Next, add the result to $48:

\[ 67 + 48 = 115 \]

So, Jenny now has a total of $115.

### Answer: $115

Expected answer: 115

Correct? Yes

Problem: If the car was only traveling for 12 hours instead of 23 hours, at the same speed of 41.8 miles per hour, how many miles would the car travel?

GPT-4o:

To find the total distance traveled by the car when it travels for 12 hours at a speed of 41.8 miles per hour, we use the same distance formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed = 41.8 miles per hour
- Time = 12 hours

We substitute these values into the formula:

\[ \text{Distance} = 41.8 \, \text{miles/hour} \times 12 \, \text{hours} \]

Now, we perform the multiplication:

\[ \text{Distance} = 41.8 \times 12 \]

\[ \text{Distance} = 501.6 \]

### Answer: 501.6 miles

Expected answer: 501.600000000000

Correct? Yes

Problem: After producing milk for 28 days, the farmer sells 20 liters to a local cheese producer. How much milk does he have left?

GPT-4o:

First, we need to determine the total amount of milk produced in 28 days, which we calculated previously as 999.6 liters.

Next, we subtract the 20 liters sold to the local cheese producer from the total amount of milk produced:

\[ 999.6 \text{ liters} - 20 \text{ liters} = 979.6 \text{ liters} \]

### Answer: 979.6 liters

Expected answer: 979.600000000000

Correct? Yes

Problem: If the cow produced 19 liters of milk a day, instead of 35.7, how much would the cow produce in 28 days?

GPT-4o:

To find out how much milk the cow produces in 28 days at a rate of 19 liters per day, we need to multiply the daily milk production by the number of days.

Daily milk production = 19 liters
Number of days = 28

Total milk production = 19 liters/day * 28 days

Let's perform the multiplication:

\[ 19 \times 28 = 19 \times (20 + 8) = (19 \times 20) + (19 \times 8) \]

First, calculate \( 19 \times 20 \):

\[ 19 \times 20 = 380 \]

Next, calculate \( 19 \times 8 \):

\[ 19 \times 8 = 152 \]

Now, add the two results together:

\[ 380 + 152 = 532 \]

### Answer: 532 liters

Expected answer: 532

Correct? Yes

Problem: Mason had saved up $34 from his previous week's allowance. This week, he earned an extra $31.4 by doing some extra house chores. After counting this, his grandma gave him another $27.4 as a gift. How much money does Mason have now in total?

GPT-4o:

To determine how much money Mason has now in total, we need to add the amount he saved from his previous week's allowance, the amount he earned this week, and the gift from his grandma.

Mason's previous savings: $34
Mason's earnings this week: $31.4
Gift from his grandma: $27.4

First, we add the previous savings and this week's earnings:
\[ 34 + 31.4 = 65.4 \]

Next, we add the gift from his grandma to the total:
\[ 65.4 + 27.4 = 92.8 \]

### Answer: $92.8

Expected answer: 92.8000000000000

Correct? Yes

Problem: Following her purchase, Rachel's mom gave her an additional 23 dollars. How much money does Rachel now have?

GPT-4o:

To determine how much money Rachel now has, we need to add the additional $23 given by her mom to the amount she had left after her purchase.

Amount left after purchase: $42.5
Additional amount given by her mom: $23

Calculation:
\[ 42.5 + 23 = 65.5 \]

So, Rachel now has $65.5.

### Answer: $65.5

Expected answer: 65.5000000000000

Correct? Yes

Problem: If the toy that Rachel bought originally cost 45 dollars instead of 5.5 dollars, how much money would Rachel have left after her purchase?

GPT-4o:

To determine how much money Rachel would have left if the toy originally cost $45, we need to subtract the cost of the toy from her initial amount.

Initial amount: $48
Cost of the toy: $45

Calculation:
\[ 48 - 45 = 3 \]

So, Rachel would have $3 left.

### Answer: $3

Expected answer: 3

Correct? Yes