Q: Madeline has 5 boxes with 24 crayons in each. She noticed that 5/8 of the crayons in the 2 boxes were not yet used. In the 2 other boxes, only 2/3 of the crayons were used while the last box was not entirely used. How many unused crayons did Madeline have?
A: Two boxes of crayons have 24 x 5 / 8 = 15 unused crayons from each box. So, a total of 15 x 2 = 30 unused crayons are in the two boxes. For the other 2 boxes, there are 24 x 2 / 3 = 16 used crayons from each box. Hence, there are 24 - 16 = 8 unused crayons. So, a total of 8 x 2 = 16 unused crayons are in the other two boxes. Therefore, Madeline has a total of 30 + 16 + 24 = 70 unused crayons. The answer is 70.
Question: Five coaster vans are used to transport students for their field trip. Each van carries 28 students, 60 of which are boys. How many are girls?
Answer: There are a total of 5 vans x 28 students = 140 students. If 60 are boys, then 140 - 60 = 80 of these students are girls. The answer is 80.
[Question]Brandon sold 86 geckos last year. He sold twice that many the year before. How many geckos has Brandon sold in the last two years?
[Answer]Last year: 86 geckos. 2 years ago: 86(2) = 172. Total number of geckos sold 86 + 172 = 258 geckos. The answer is 258.
Q: Samuel bought 2 dozen doughnuts and Cathy bought 3 dozen doughnuts. They planned to share the doughnuts evenly with their 8 other friends. How many doughnuts will each of them receive?
A: Since 1 dozen is equal to 12, then Samuel has 2 x 12 = 24 doughnuts. While Cathy has 3 x 12 = 36. They both have 24 + 36 = 60 doughnuts together. There are 8 friends + 1 (Samuel) + 1 (Cathy) = 10 that will share the doughnuts. Thus, each of them will get 60 / 10 = 6 doughnuts. The answer is 6.
Question: Hayden has a tank with a small hole in the bottom. The tank starts with 40 gallons of water. It loses 2 gallons of water per hour. Hayden does not add any water for the first two hours. He adds 1 gallon of water to the tank in hour three. He adds three gallons of water to the tank in the fourth hour. How much water is left in the tank at the end of the fourth hour?
Answer: Over the four hours, the tank loses 2 * 4 = 8 gallons of water. Hayden adds a total of 1 + 3 = 4 gallons of water. At the end of the four hours, there is 40 - 8 + 4 = 36 gallons of water left in the tank. The answer is 36.
Q: Bill is trying to control the pests in his garden. Each spider he introduces eats 7 bugs, and each time he sprays the garden he reduces the total bug population to 80% of what it was previously. If the garden has 400 bugs to start, and Bill sprays once and introduces 12 spiders, how many bugs are left?
A:
First find the total bug population after spraying: 80% * 400 bugs = 320 bugs. Then find the total number of bugs each spider eats: 12 spiders * 7 bugs / spider = 84 bugs. Then subtract that number from the number of bugs left after spraying to find final number of bugs: 320 bugs - 84 bugs = 236 bugs. The answer is 236.