Conor can chop 12 x 4 = 48 eggplants a week. He can chop 9 x 4 = 36 carrots a week. He can chop 8 x 4 = 32 potatoes a week. Therefore, Conor can chop 48 + 36 + 32 = 116 vegetables a week.
The answer: 116
Reverse engineering the question: Conor can chop 12 eggplants, 9 carrots, and 8 potatoes in a day. If he works 4 times a week, how many vegetables can he chop?


Reasoning and answer: The deck is 30 * 40 = 1200 square feet. He pays 3 + 1 = $4 per square foot. So he paid 1200 * 4 = $4800.
The answer: 4800
What was the question?
Question: Mark constructed a deck that was 30 feet by 40 feet. It cost $3 per square foot. He then paid an extra $1 per square foot for sealant. How much did he pay?


The housewife has 3 / 3 - 2 / 3 = 1 / 3 of $150 left. This means she has $150 * (1 / 3) = $50 left.
The answer: 50
Reverse engineering the question: A housewife goes to the market. She spent 2/3 of her $150. How much does she have left?


Reasoning and answer: If there are 30 notebooks on the shelf, there are 50 + 30 = 80 pens on the shelf. Altogether, Wesley has 80 + 30 = 110 notebooks and pens on the shelf.
The answer: 110
What was the question?
Question: There are 50 more pens than notebooks on Wesley's school library shelf. If there are 30 notebooks on the shelf, how many notebooks and pens, does he have altogether?


To solve this problem you can set up an equation to represent the total price the family will pay, with a representing the number of adult tickets, c representing the number of children’s tickets, and p representing the total price of admission. Thus 22a + 7c = p. Plug in the number of adults and children that plan to go to the amusement park: 22(2) + 7(2) = $58 is the total cost for admission.
The answer: 58
Reverse engineering the question: A family is going to the amusement park. The adult tickets cost $22 for admission, and the tickets for children cost $7. The family consists of 2 adults and 2 children. What is the total price the family will pay for admission?


The second ticket sold will cost $1 + $1 = $2. The third ticket sold will cost $2 + $1 = $3. The fourth ticket sold will cost $3 + $1 = $4. The fifth ticket sold will cost $4 + $1 = $5. The total money collected is $1 + $2 + $3 + $4 + $5 = $15. After taking profit, the total prize money will be $15 - $4 = $11.
The answer: 11
Reverse engineering the question:
Lily has 5 lottery tickets to sell. She sells the first ticket for $1. She then sells each successive ticket for a dollar more than the previous ticket. She plans to keep a $4 profit and give the remaining money as the prize. How much money will the winner of the lottery receive?