When Joanna purchased 4 times the number of gumballs she initially had, she added 40 * 4 = 160 gumballs to her dish. The total number of gumballs Joanna had in her dish after buying 160 more is 160 + 40 = 200. At the same time, Jacques bought 60 * 4 = 240 new gumballs. When Jacques added his new 240 gumballs to his dish, the total number of gumballs increased to 240 + 60 = 300 gumballs. When they decided to put together their gumballs, they had 300 + 200 = 500 gumballs altogether. After sharing equally, each person got 500 / 2 = 250 gumballs.
The answer: 250
Reverse engineering the question: Joanna and Jacques had 40 and 60 gumballs, respectively, in their dishes. They then purchased 4 times the number of gumballs they had initially and added these to their dishes. If they decided to put together their gumballs and shared them equally, how many gumballs did each get?


Reasoning and answer: The number of pages Jane reads in a day is 5 in the morning and 10 in the evening, so she reads 10 + 5 = 15 pages in a day. If she reads for a week she reads for 7 days, so by the end of the week she reads 15 * 7 = 105 pages.
The answer: 105
What was the question?
Question: Jane plans on reading a novel she borrows from her friend. She reads twice a day, once in the morning and once in the evening. In the morning she reads 5 pages and in the evening she reads 10 pages. If she reads at this rate for a week, how many pages will she read?


The camel is 14 x 24 = 336 tall in inches. So, the camel is 336 / 12 = 28 feet tall.
The answer: 28
Reverse engineering the question: In a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?


Reasoning and answer: John plays in 20 * .8 = 16 games. That means he gets fouled 16 * 5 = 80 fouls. So he gets 80 * 2 = 160 foul shots. So he makes 160 * .7 = 112 free throws.
The answer: 112
What was the question?
Question: John hits 70% of his free throws. For every foul he gets 2 shots. He gets fouled 5 times a game. How many free throws does he get if he plays in 80% of the 20 games the team plays?


Half of the class consists of 28 students / 2 = 14 students. One half of the students have 14 students * 3 notebooks / student = 42 notebooks. The other half have 14 students * 5 notebooks / student = 70 notebooks. There are 42 notebooks + 70 notebooks = 112 notebooks in total in the classroom.
The answer: 112
Reverse engineering the question: There are 28 students in a classroom. Half of them have 5 notebooks each and the other half have 3 notebooks each. How many notebooks in total are in the classroom?


The beef cost $8 * 1000 = $8000. He buys 1000 * 2 = 2000 pounds of chicken. So the chicken cost 2000 * $3 = $6000. So the total cost is $8000 + $6000 = $14,000.
The answer: 14000
Reverse engineering the question:
John orders food for a massive restaurant. He orders 1000 pounds of beef for $8 per pound. He also orders twice that much chicken at $3 per pound. How much did everything cost?