There are 8 total dice because 4 plus 4 equals 8. There are 48 sides because 8 times six equals 48.
The answer: 48
Reverse engineering the question: Tom and Tim both brought 4, six-sided dice to school. How many total sides are there?


Reasoning and answer: 2 / 3 students are girls because 1 - (1 / 3) = 2 / 3. 20 students are girls because 30 x (2 / 3) = 20. 40% of the girls don't have any pets because 100 - 40 - 20 = 40. 8 girls in class have no pets because 20 x .4 = 8.
The answer: 8
What was the question?
Question: In a classroom there are 30 students. 1/3 of them are boys. Among the girls, 40% own dogs, 20% own a cat, and the rest have no pets. How many girls in the class have no pet?


Gretchen threw half as many pennies into the fountain as did Rachelle, for a total of 180 / 2 = 90 pennies. Rocky threw one - third as many as Gretchen, for a total of 90 / 3 = 30 pennies. In total, the three threw 180 + 90 + 30 = 300 pennies into the fountain.
The answer: 300
Reverse engineering the question: One afternoon, Rachelle, Gretchen and Rocky threw pennies into the fountain and made wishes. Rachelle threw 180 pennies into the fountain. Gretchen threw half as many pennies into the fountain as Rachelle and Rocky threw in one-third as many pennies as Gretchen. What was the total number of pennies thrown into the fountain by the three of them?


Reasoning and answer: 10 pages per day on day 1 * 2 = 20 pages per day for days 2 through 7. 20 * 6 remaining days = 120 pages total from days 2 through 7. 10 pages day 1 + 120 pages days 2 through 7 = 130 total pages read in one week.
The answer: 130
What was the question?
Question: Justin needs to read at least 100 pages or more of his book in one week to pass his class. He has read 10 pages already on the first day. Assuming he reads twice the amount of pages as the first day each day in the remaining 6 days, how many pages will he have read after the week is over?


Half off the full price of $60 is $60 / 2 = $30 off. Thus, for the two rackets, Paul spends $60 + $60 - $30 = $90.
The answer: 90
Reverse engineering the question: Paul went to the sporting goods store to buy a tennis racket. His favorite brand was having a sale that offered customers a deal to buy one racket at full price and get the second racket for half off the full price.  If he purchased two rackets that were each originally marked at a full price of $60, how much did he spend on the two rackets, in dollars?


The grill burned 3 * 60 = 180 coals. It takes 20 minutes to burn 15 coals, so the grill ran for 180 / 15 * 20 = 240 minutes.
The answer: 240
Reverse engineering the question:
A charcoal grill burns fifteen coals to ash every twenty minutes of grilling. The grill ran for long enough to burn three bags of coals. Each bag of coal contains 60 coals. How long did the grill run?