There are 60 x 1 / 6 = 10 blue chips. There are 10 + 34 = 44 chips that are not green. Thus, 60 - 44 = 16 chips are green.
The answer: 16
Reverse engineering the question: There are 60 pieces of chips in Lara's bag. One-sixth of the chips are blue. There are 34 red chips and the rest are green. How many green chips are in Lara's bag?
Reasoning and answer: Let N be the original price each friend was going to pay. 10N = 6(N + 8). 10N = 6N + 48. 4N = 48. N = 12. Then the present costs 10 * 12 = 120.
The answer: 120
What was the question?
Question: Ten friends decide to get an end-of-year gift for their teacher. They plan to split the cost of the gift equally. But four of the group drop out. The remaining friends split the cost equally among themselves. If each share is now $8 more, how much does the gift cost, in dollars?
If 50% of individuals that like football play it, and there are 24 out of 60 individuals that like it, then 24 * 50% = 12 out of 60 individuals play it. If 12 individuals play it out of 60 individuals then that means only 12 / 60 = 1 / 5 or 20% play it. If 20% of individuals play football out of a group of 250 people, one would expect 250 * 20% = 50 individuals to play it.
The answer: 50
Reverse engineering the question: If 24 out of every 60 individuals like football and out of those that like it, 50% play it, how many people would you expect play football out of a group of 250?
Reasoning and answer: The sandbox is 40 cubic feet because 2 x 4 x 5 = 40. He needs 120 pounds of sand because 40 x 3 = 120. He will take 60 trips because 120 / 2 = 60. He will need to drink water 15 times because 60 / 4 = 15. He will drink 45 ounces of water because 15 x 3 = 45. He will need 3 bottles of water because 45 / 15 = 3. He will spend $6 on water because 3 x 2 = 6. He will have $4 in change because 10 - 6 = 4.
The answer: 4
What was the question?
Question: Tony has a bucket that holds 2 pounds of sand. He has a sandbox out back that is two feet deep, four feet wide, and 5 feet long. A cubic foot of sand weighs 3 pounds. Because it's hot outside, he wants to make sure he stays hydrated, so every 4 trips he takes he drinks 3 ounces of bottled water. A 15 ounce bottle of water costs $2. He has $10 with him. How much change will he have after he buys all the water he needs?
If we let x be the amount of time, in hours, it will take for Darrel to catch up to the coyote, then we can figure this out. Because the distance Darrel travels is defined as the length of time Darrel travels (x) and Darrel's speed (20mph), or the expression 2 * x. And the distance the coyote travels is defined as the length of time the coyote travels (x + 1 hour) and the coyote's speed (15 mph), or the expression (x + 1) * 1. And since the distance Darrel and the coyote travel is the same, then 2 * x = (x + 1) * 1. Simplifying the expression, we get 2 * x = x + 1. If we subtract 1 x from each side, we get x = 1, the amount of time in hours.
The answer: 1
Reverse engineering the question: Darrel is an experienced tracker. He can tell a lot about an animal by the footprints it leaves behind. One day he saw a set of coyote footprints. Based on the impressions, he could tell the animal was traveling east at 15 miles per hour, and that the animal left the prints 1 hour ago. If the coyote continues to travel east at 15 miles per hour, and Darrell hops on his motorbike and travels east at 30 miles per hour, how long, in hours, will it take for Darrel to catch up to the coyote?
Honey earned 20 x $80 = $1600 for 20 days of work. Therefore, Honey saved $1600 - $1360 = $240 in 20 days.
The answer: 240
Reverse engineering the question:
Honey earned $80 a day. Every day, she spent part of her pay and saved the rest. After 20 days of work, she spent $1360. How much did Honey save in 20 days?