[Question]Tom goes to a combined undergrad and Ph.D. program. It takes 3 years to finish the BS and 5 years to finish the Ph.D. Tom finishes it in 3/4ths the time. How long does it take for him to finish?
[Answer]The program normally takes 3 + 5 = 8 years. So he manages to finish in 8 * 3 / 4 = 6 years. The answer is 6.
Q: Xavier plays football with his friends. During 15 minutes Xavier can score 2 goals on average. How many goals on average is Xavier able to score, when the match lasted for 2 hours?
A: Two hours means 2 * 60 = 120 minutes. So in 2 hours, there are with 120 / 15 = 8 groups of 15 minutes. So on average Xavier can score 8 * 2 = 16 goals. The answer is 16.
Question: While shopping, Greg spent 300$ on a shirt and shoes. If Greg spent 9 more than twice as much on shoes as he did a shirt, how much did Greg spend on a shirt?
Answer: Let x be the amount spent on a shirt. Greg spent 2x + 9 dollars on shoes. 300 = x + (2x + 9). 300 = 3x + 9. 291 = 3x. x = 97$. Greg spent 97$ on a shirt. The answer is 97.
[Question]Joshua packs 12 bottles in each crate. He has a total of 130 bottles and 10 crates. How many bottles will not be placed in a crate?
[Answer]A total of 12 x 10 = 120 bottles will be placed in 10 crates. Therefore, 130 - 120 = 10 bottles will not be placed in a crate. The answer is 10.
Q: On Friday, Markeesha sold 30 boxes of crackers for her scout troop's fundraiser. On Saturday, she sold twice as many as on Friday. On Sunday, she sold 15 fewer than Saturday. How many boxes did she sell over the three days?
A: On Saturday, she sold 2 * 30 = 60 boxes. On Sunday, she sold 60 - 15 = 45 boxes. She sold a total of 30 + 60 + 45 = 135. The answer is 135.
Question: Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles. Tracy drives 20 miles more than twice Michelle, and Michelle drives 3 times the amount that Katie drives. How many miles does Michelle drive?
Answer:
Let x represent the number of miles Kati drives. Michelle:3x. Tracy:20 + 2(3x) = 20 + 6x. Total:x + 3x + 20 + 6x = 1000. 10x + 20 = 1000. 10x = 980. x = 98 miles. 3(98) = 294 miles. The answer is 294.