Q: Micah, Dean, and Jake are all training for a marathon organized by a local NGO to support children in their town who have cancer. Micah runs 2/3 times as fast as Dean. It takes Jake 1/3 times more time to finish the marathon than it takes Mica. If Dean takes 9 hours, what's the total time the three take to complete the marathon?
A: If Dean takes 9 hours to finish the marathon, it takes Micah 2 / 3 * 9 hours = 6 hours to finish the marathon. It takes Jake 1 / 3 * 6 hours = 2 more hours to finish the marathon than Micah. Jake takes a total of 6 hours + 2 hours = 8 hours to finish the marathon. Micah, Dean, and Jake take a total of 8 hours + 6 hours + 9 hours = 23 hours to finish the marathon. The answer is 23.
Question: Timothy and Theresa go to the movies very often. Timothy went to the movies 7 more times in 2010 that he did in 2009. In 2009, Timothy went to the movies 24 times. In 2010 Theresa went to see twice as many movies as Timothy did, but in 2009, she only saw half as many as he did. How many movies did Timothy and Theresa go on in both 2009 and 2010?
Answer: In 2010 Timothy watched 24 + 7 = 31 movies. In 2010 Theresa watched 31 * 2 = 62 movies. In 2009 Theresa watched 24 / 2 = 12 movies. In both 2009 and 2010 Timothy and Theresa watched 24 + 31 + 62 + 12 = 129 movies. The answer is 129.
[Question]The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units?
[Answer]Let b be the base of the triangle. (1 / 2) * b * 8 = 24. 4 * b = 24. b = 6. The answer is 6.
Q: A school choir needs robes for each of its 30 singers. Currently, the school has only 12 robes so they decided to buy the rest. If each robe costs $2, how much will the school spend?
A: The school needs to buy 30 - 12 = 18 robes. So the school will spend 18 x $2 = $36. The answer is 36.
Question: A frog lays 800 eggs a year. 10 percent dry up, and 70 percent are eaten. 1/4 of the remaining eggs end up hatching, how many frogs hatch out of the 800?
Answer: Dried up:800(.10) = 80 eggs. 800(.70) = 560 eggs. Total left:800 - 80 - 560 = 160 eggs. 160 / 4 = 40 eggs survive to hatch. The answer is 40.
Q: Edward the plumber is replacing a pipe in a bathroom wall. He needs to use 40 feet of copper pipe to complete the job. For every 5 feet of pipe, Edward must use one tightening bolt, and for every bolt, he uses two washers. He buys a bag of 20 washers for the job. After he completes the bathroom job, how many washers will be remaining in the bag?
A:
If Edward needs to use 1 bolt per every five feet of piping, then for a job requiring 40 - feet of piping, he will use 40 / 5 = 8 tightening bolts. If for every 1 bolt he uses two washers, then he will need 8 * 2 = 16 washers to complete the job. if he buys a bag containing 20 washers, and removes 16, he will have 20 - 16 = 4 washers remaining in the bag. The answer is 4.