The total ratio representing the yellow scores that Taylor got is 7 + 6 = 13. The difference in the ratio between the number of black and white scores Taylor used is 7 - 6 = 1. The fraction representing the difference in the ratio between the number of black and white scores Taylor used is 1 / 13, representing 1 / 13 * 78 = 6. 2 / 3 of the difference between the number of black and white scores Taylor used is 2 / 3 * 6 = 4.
The answer: 4
Reverse engineering the question: To make a yellow score mixture, Taylor has to combine white and black scores in the ratio of 7:6. If she got 78 yellow scores, what's 2/3 of the difference between the number of black and white scores she used?


Reasoning and answer: Rachel's grandfather is 12 x 7 = 84 years old. Her mother is 84 / 2 = 42 years old. Her father is 42 + 5 = 47 years old. Rachel will be 25 years old in 25 - 12 = 13 years. Rachel's father will be 47 + 13 = 60 years old.
The answer: 60
What was the question?
Question: Rachel is 12 years old, and her grandfather is 7 times her age. Her mother is half grandfather's age, and her father is 5 years older than her mother. How old will Rachel's father be when she is 25 years old?


After the increase, he can lift 300 + 50 = 350 pounds. Decreasing the distance increase the amount he can lift by 350 * .3 = 105 pounds. So he can lift 350 + 105 = 455 for 10 feet. The straps add another 455 * .2 = 91 pounds. So his total weight is 455 + 91 = 546 pounds per hand.
The answer: 546
Reverse engineering the question: James can do a farmer's walk with 300 pounds per hand for 20 meters. He can lift 30% more if he only goes 10 meters. In addition, lifting straps give him another 20%. How much can he move with lifting straps for 10 meters if he increases his 20-meter distance without straps by 50 pounds and everything else increases in proportion?


Reasoning and answer: The number of people in cars is 3 × 4 = 12. The number of people in taxis is 6 × 6 = 36. The number of people in vans is 2 × 5 = 10. In total 12 + 36 + 10 = 58 people went on the hike.
The answer: 58
What was the question?
Question: The outdoor scouts went on a hike to see a waterfall. To get to the hike, the club members took 3 cars, 6 taxis and 2 vans. There were 4 people in each car, 6 people in each taxis and 5 people in each van. How many people went on the hike?


- 14 + ( - 8) + 1 =  - 21 degrees Fahrenheit. - 21 / 3 =  - 7 degrees Fahrenheit. The average temperature was - 7 degrees Fahrenheit.
The answer: -7
Reverse engineering the question: Three days' temperatures were recorded for Bucyrus, Ohio. The temperatures were -14 degrees Fahrenheit, -8 degrees Fahrenheit, and +1 degree Fahrenheit. What was the average number of degrees (Fahrenheit) in Bucyrus, Ohio on the 3 days recorded?


Four long - sleeved jerseys cost $15 x 4 = $60. So the striped jerseys amount to $80 - $60 = $20. Hence, Justin bought $20 / $10 = 2 striped jerseys.
The answer: 2
Reverse engineering the question:
Justin bought some jerseys. He bought four long-sleeved ones that cost $15 each, and some striped ones that cost $10 each. How many striped jerseys did Justin buy if he spent a total of $80?