Let n be the number of times Nancy steps on her partner's feet and j be the number of times Jason does. We know that n = 3j and n + j = 32. Substituting the first equation into the second equation, we get 3j + j = 32. Combining like terms, we get 4j = 32. Dividing both sides by 4, we get j = 8.
The answer: 8
Reverse engineering the question: Nancy and Jason are learning to dance for the first time. Nancy steps on her partner's feet 3 times as often as Jason. If together they step on each other's feet 32 times, how many times does Jason step on his partner's feet?
Reasoning and answer: The number of flowers in Peter's garden is 20 * 3 = 60 flowers. The number of flowers left after he gave his brother 15 flowers is 60 15 = 45 flowers.
The answer: 45
What was the question?
Question: Amanda's garden contains 20 flowers and Peter's garden contains three times as many flowers as Amanda's. If Peter gave 15 flowers to his brother, how many flowers are left in his garden?
The second dog eats 26 pounds a week because 13 x 2 = 26. In total they eat 45 pounds because 3 x 15 = 45. The third dog eats 6 pounds a week because 45 - 13 - 26 = 6.
The answer: 6
Reverse engineering the question: Arthur has 3 dogs. They eat an average of 15 pounds of food a week. One dog eats 13 pounds a week. The second eats double this. How much does the third dog eat a week?
Reasoning and answer: Let x be the number of home runs Dave Winfield hit. 755 = 2x - 175. 930 = 2x. x = 465 home runs.
The answer: 465
What was the question?
Question: Among the career home run leaders for MLB, Hank Aaron has 175 fewer than twice the number that Dave Winfield has. Hank Aaron hit 755 home runs. How many home runs did Dave Winfield hit in his career?
To achieve her goal, she must read 140 / 7 = 20 pages per day. She planned to read 3 * 6 = 18 pages daily. She must read 20 - 18 = 2 more pages per day.
The answer: 2
Reverse engineering the question: While planning to finish reading a 140-page book in one week, Jessy initially decides to read 3 times daily, 6 pages each time, every day of the week. How many more pages should she read per day to actually achieve her goal?
Jan was 2 years older than Cindy who was 5 so 2 + 5 = 7 years old. Marica was twice as old as Jan so 2 * 7 = 14 years old. Greg was 2 years older than Marcia who was 14 so 2 + 14 = 16 years old.
The answer: 16
Reverse engineering the question:
Cindy was 5 years old. Her sister Jan was 2 years older than Cindy. Their oldest sister Marcia was twice as old as Jan. Greg was two years older than Marcia. How old was Greg?