Reasoning and answer: In the first box he bought 10 DVDs at $2.00 each, so he paid 10 * 2 = $20.00. In the second box he bought 5 DVDs at $5.00 each, so he paid 5 * 5 = $25.00. He bought 10 + 5 = 15 DVDs. He spent $20 + $25 = $45.00. The average price of each DVD is $45 / 15 = $3.00 each.
The answer: 3
What was the question?
Question: Duke was at a garage sale when he spotted DVDs on sale. They were separated by price into 2 different boxes. In the first box, he found 10 movies that he wanted. These were $2.00 apiece. The second box was marked $5 each and he found 5 movies he wanted. What was the average price of each of the DVDs he bought?


Let X be the money Mark had. Mark spent 1 / 2 * X + 14 in the first store and 1 / 3 * X + 16 in the second store. Mark has X - 1 / 2 * X - 14 - 1 / 3 * X - 16 = $0 left. Combining like terms, we get 1 / 6 * X - 30 = $0. Adding 30 to both sides and multiplying both sides by 6, we find that Mark had X = $180 when he entered the first store.
The answer: 180
Reverse engineering the question: Mark went to a store where he spent one-half of his money, and then spent $14 more. He then went to another store where he spent one-third of his starting money, and then spent $16 more. If he then had no money left, how much did he have when he entered the first store?


Reasoning and answer: The cost of 5 pieces of Dave's Single hamburger is $5 x 5 = $25. The cost of 4 sets of french fries is $2.50 x 4 = $10. The cost of 5 cups of peach lemonade is $2 x 5 = $10. So, their total bill is $10 + $25 + $10 + $10 = $55. Therefore, each of them will contribute $55 / 5 = $11.
The answer: 11
What was the question?
Question: Five friends eat at Wendy's and ordered the following: a platter of Taco Salad that cost $10, 5 orders of Dave's Single hamburger that cost $5 each, 4 sets of french fries that cost $2.50, and 5 cups of peach lemonade that cost $2 each. How much will each of them pay if they will split the bill equally?


Each half of the year consists of 52 / 2 = 26 weeks. For the first half of the year, Nicki ran a total of 20 * 26 = 520 miles. For the second half of the year, Nicki ran a total of 30 * 26 = 780 miles. For the entire year, Nicki ran a total of 520 + 780 = 1,300 miles.
The answer: 1300
Reverse engineering the question: Nicki spent the last year running a lot. For the first half of the year, she ran a total of 20 miles per week. For the second half of the year, she increased the mileage to 30 miles per week. How many miles total did she run for the year?


Reasoning and answer: If 35% represents 14, then 100 - 35 = 65 represents the amount left of her allowance. The amount she didn't use is 65 * 14 / 35 = 26.
The answer: 26
What was the question?
Question: Mitzel spent 35% of her allowance. If she spent $14, how much money is left in her allowance?


Reasoning and answer: Beth finds 4 + 2 = 6 ants. CeCe finds 4 x 2 = 8 ants. Duke finds 4 / 2 = 2 ants. The four children find 4 + 6 + 8 + 2 = 20 ants.
The answer: 20
What was the question?
Question:
Abe finds 4 ants on the sidewalk. Beth sees 50% more ants than Abe. CeCe watches twice as many ants as Abe. Duke discovers half as many ants as Abe. How many ants do the four children find together?