Q: Ali has $480. He spent half of it on food, and then he spent a third of what was left on a pair of glasses. How much money did he have left?
A: Ali spent 480 / 2 = $240 on food. After buying the food, Ali had 480 - 240 = $240 left. He spent 240 / 3 = 80 dollars on a pair of glasses. He had 240 - 80 = $160 left. The answer is 160.
Question: Linda makes and sells necklaces at craft fairs. At her most recent fair she sold 4 necklaces and 8 rings for a total of $80. If each necklace costs $12, how much does each ring cost?
Answer: Let’s use r for the cost of each necklace. 4 * 12 + 8 * r = 80. 48 + 8 * r = 80. 8 * r = 80 - 48 = 32. 8r = 32. r = 4 dollars for each ring. The answer is 4.
[Question]Three frogs are trying to hop across the road. The first frog takes 4 times as many hops as the second. The second frog takes twice as many as the third. If the three frogs took a total of 99 hops, how many hops did it take the second frog to cross the road?
[Answer]Let x represent the number of hops it took the third frog. The second frog:2x. First frog:4(2x) = 8x. Total:x + 2x + 8x = 99. 11x = 99. x = 9. Second frog:2(9) = 18 hops. The answer is 18.
Q: Matt's protein powder is 80% protein. He weighs 80 kg and wants to eat 2 grams of protein per kilogram of body weight each day. How much protein powder does he need to eat per week?
A: He wants to eat 80 * 2 = 160 grams of protein a day. That means he needs 160 / .8 = 200 grams of protein per day. So he needs 200 * 7 = 1400 grams per week. The answer is 1400.
Question: There is a massive rainstorm lasting 4 days. There is an area that collects water to prevent flooding in the area. It ends up overflowing on the 4th day. The area can hold the equivalent of 6 feet of rain. It can also drain out the equivalent of 3 inches of rain per day to the nearby river without causing problems. The first day it rained 10 inches. The second day it rained twice that much. On the third day, it rained 50% more than the second day. It flooded the fourth day before getting a chance to do any of the draining. What is the minimum amount it rained on the fourth day?
Answer: The second day it rained 10 * 2 = 20 inches. On the third day it rained 20 * 1.5 = 30 inches. So in the first 3 days, it rained 10 + 20 + 30 = 60 inches. It drained 4 - 1 = 3 days. So it drained 3 * 3 = 9 inches. That means on the start of the fourth day, there were 60 - 9 = 51 inches in the pond. The area can hold 6 * 12 = 72 inches. So it rained at least 72 - 51 = 21 inches. The answer is 21.
Q: Keanu was surfing towards the shore at a speed of 20 miles per hour. A shark was swimming alongside him, riding the same wave, when it doubled its speed and moved away from Keanu. There was a pilot fish swimming alongside Keanu and the shark, and when the shark increased its speed, the pilot fish also increased its speed and moved away from Keanu, but only increasing its speed by half as much as the shark had increased its speed by. What speed, in miles per hour, was the pilot fish swimming when it moved away from Keanu?
A:
The shark went from 20 miles per hour to a speed of 2 * 20 = 40 miles per hour. The shark increased its speed by 40 - 20 = 20 miles per hour. Half of the shark's increase in speed is 20 / 2 = 10 miles per hour. Thus the pilot fish had increased its speed to 20 + 10 = 30 miles per hour. The answer is 30.