There are 3 times as many green balls as blue balls so green balls = blue balls * 3. Green balls = 6 blue balls * 3 = 18 green balls. There are 2 times as many yellow balls as red ones so yellow balls = red balls * 2. Yellow balls = 4 red balls * 2 = 8 yellow balls. The total number of all the balls is 6 blue + 4 red + 18 green + 8 yellow: 6 + 4 + 18 + 8 = 36 balls.
The answer: 36
Reverse engineering the question: Clive opens a box full of different colored balls.  The box contains 6 blue balls, 4 red balls, 3 times as many green balls as blue ones and twice as many yellow ones as red ones.  How many balls are in the box Clive opens?


Reasoning and answer: If Giselle had 20 doves that laid 3 eggs each, the total number of eggs in the birdhouse is 20 * 3 = 60 eggs. If 3 / 4 of the eggs hatched into birds, their total number is 3 / 4 * 60 = 45. In the birdhouse, there are 20 initial doves + 45 new squabs = 65 birds.
The answer: 65
What was the question?
Question: Giselle had 20 female doves in a birdhouse. After a month, the doves laid 3 eggs each. If 3/4 of the eggs hatched, calculate the total number of doves Giselle has now.


He has 20 white marbles because 100 x .2 = 20. He has 30 black marbles because 100 x .3 = 30. He has 50 color marbles because 100 - 20 - 30 = 50. He earns $1 from white marbles because 20 x .05 = 1. He earns $3 from the black marbles because 30 x .1 = 3. He earns $10 from the colors because 50 x .2 = 10. He earns $14 in total because 1 + 3 + 10 = 14.
The answer: 14
Reverse engineering the question: Alvin is selling his marble set. He has 100 marbles. 20% are white, 30% are black, and the rest are different colors. He sells the white ones for a nickel each, the black ones for a dime each, and the colors for $0.20 each. How much does he earn?


Reasoning and answer: Mrs. Amaro has 80 x 3 / 4 = 60 red roses. So, 80 - 60 = 20 roses are not red. Then, 20 x 1 / 4 = 5 of those 20 non - red roses are yellow. Hence, 20 - 5 = 15 roses are white. Therefore, 60 + 15 = 75 roses are either red or white.
The answer: 75
What was the question?
Question: Mrs. Amaro has 80 roses in her garden. Three-fourths of her roses are red, one-fourth of the remaining are yellow, and the rest are white. How many of Mrs. Amaro's roses are either red or white?


First multiply her average grade by the number of tests she took to find the total number of points she scored: 81 points * 2 = 162 points. Then subtract the number of points she scored on her first exam to find how many points she scored on her second exam: 162 points - 78 points = 84 points.
The answer: 84
Reverse engineering the question: Brittany got a 78 on her first test. After her second test, her average rose to an 81. What grade did she get on her second test?


She hiked 24 miles. She spent 6 hours hiking. Her average pace was 24 / 6 = 4 mph.
The answer: 4
Reverse engineering the question:
Arlene hiked 24 miles on Saturday, carrying a 60-pound backpack. She is exactly 5 feet tall. She spent 6 hours hiking. The temperature during the day was 60 degrees Fahrenheit. What was Arlene's average hiking pace, in miles per hour?