A quarter is worth five nickels because .25 / .05 = 5. She gets 100 nickels from the bank because 20 x 5 = 100. 20 of the nickels are iron nickels because 100 x .20 = 20. 80 of the nickels are regular because 100 - 20 = 80. The iron nickels are worth $60 because 20 x 3 = 60. The regular nickels are worth $4 because 80 x .05 = 4. Her money is now worth $64 because 60 + 4 = 64.
The answer: 64
Reverse engineering the question: Alice has 20 quarters. She wants to exchange them for nickels and so she goes to the bank. After getting back from the bank, she discovers that 20% of the nickels are iron nickels worth $3 each. What is the total value of her money now?


Reasoning and answer: The garden has space for 6 * 13 = 78 flowers in total. Wilma has two times more green flowers than yellow flowers, which means she has 2 * 12 = 24 green flowers. That leaves us with 78 - 24 - 12 = 42 red flowers in the garden.
The answer: 42
What was the question?
Question: Wilma has a garden with 3 types of flowers. The garden has 6 rows, with 13 flowers in each row. Wilma has 12 yellow flowers, two times more green flowers, and the rest consist of red flowers. How many red flowers does Wilma have?


Out of his 8 children, 2 have only 5 children so the rest who have 8 ( the same number as him) are 8 - 2 = 6. 6 of Max's children have 8 children each for a total of 6 * 8 = 48 grandchildren. 2 of Max's children have 5 children each for a total of 5 * 2 = 10 grandchildren. In total he has 48 + 10 = 58 grandchildren.
The answer: 58
Reverse engineering the question: Max has 8 children and each of his children has the same number of children as he does except for 2 who have 5 children each. How many grandchildren does he have?


Reasoning and answer: He buys 2 * 5 = 10 drinks for his friends. So he orders 10 + 6 = 16 total drinks. The cost of the drinks was 16 * 6 = $96. So his order came out to 96 + 14 = $110. The tip came out to 110 * .3 = $33. So his order cost 110 + 33 = $143. Adding in the cover charge means it cost 143 + 20 = $163.
The answer: 163
What was the question?
Question: A club opens up and charges $20 to enter. James buys 2 rounds for his 5 friends. He also buys 6 drinks for himself. Drinks cost $6 each. He decides to eat some food so he orders some fried chicken which costs $14. He leaves a 30% tip on everything he orders. How much did he spend for the night?


The Adidas purchase was 1 / 5 that of Skechers, therefore the Skechers cost 5 * 600 = 3000 dollars. Spending three times the cost of Adidas on Nike sneakers translates to 3 * 600 = 1800 dollars. All together, the three athletic - sneaker purchases cost Mimi 600 + 1800 + 3000 = 5400 dollars. Subtracting the amount spent on athletic sneakers from the total spent gives 8000 - 5400 = 2600 dollars. Mimi therefore spent 2600 dollars on clothes.
The answer: 2600
Reverse engineering the question: Mimi has decided to start going to the gym again. Over the weekend, she spent $8,000 on athletic sneakers and clothes. She spent thrice as much on Nike sneakers as she did on Adidas. What she spent on Adidas was 1/5 the cost of Skechers. If Mimi's Adidas sneakers purchase was $600, what amount did she spend on clothes?


Since each chapter of the book has 40 pages, Mitchell had read 10 * 40 = 400 pages from the first ten chapters. After reading 20 pages of the eleventh chapter, the total number of pages that Mitchell had read is 400 + 20 = 420. The next two chapters that she read had 2 * 40 = 80 pages. In total, Mitchell read 420 + 80 = 500 pages of the book that day.
The answer: 500
Reverse engineering the question:
Studying for her test, Mitchell had read ten chapters of a book before 4 o'clock. When it clocked 4, Mitchell had read 20 pages of the 11th chapter of the book she was studying from. After 4 o'clock, she didn't read the remaining pages of chapter eleven but proceeded and read 2 more chapters of the book. If each chapter in the book had 40 pages, calculate the total number of pages that Mitchell had read altogether?