Question: John decides to go back to school to get his PhD. He first takes 1 year of courses to get acclimated back to school life before starting his PhD. After that, he spends 2 years learning the basics of his field. He then starts research, and he spends 75% more time on research than he did learning the basics. He then spends half as long on writing his dissertation as his acclimation period. How long did it take him to do everything?
Answer: It took him 2 * .75 = 1.5 years longer to do his research than it took to learn the basics. So it took him a total of 2 + 1.5 = 3.5 years to do research. His dissertation took 1 / 2 = .5 years to write. So everything together took 1 + 2 + 3.5 + .5 = 7 years. The answer is 7.
[Question]After eating half of the number of fruits he had, Martin remained with twice as many oranges as limes. If he has 50 oranges now, how many fruits did he initially have?
[Answer]Since the number of oranges that Martin has now is twice the number of limes, there are 50 / 2 = 25 limes. The number of fruits she has now is 50 oranges + 25 limes = 75. If she had eaten half of the number of fruits that she had, initially Martin had 2 * 75 = 150 fruits. The answer is 150.
Q: Christina walks 7km to school every day from Monday to Friday. She returns home covering the same distance. Last Friday her mother asked her to pass by her friend, which is another 2km away from the school in the opposite distance from home. How many kilometers did Christina cover that week?
A: One trip to school is 2 * 7 km = 14km. In one week, Christina walks 14 km / day * 5 days / week = 70km to school. The extra trip to her mum's friend added 2 km * 2 = 4km to her travel distance. Her total distance was thus 70 km + 4 km = 74 km. The answer is 74.
Question: Zoe made a total of $8,000 cleaning pools and babysitting. She babysat Julie three times as often as she babysat Zachary. The number of times she babysat Zachary was 1/5 the number of times she babysat Chloe. If Zoe made $600 babysitting Zachary, how much did she earn from pool cleaning?
Answer: From babysitting Julie, Zoe made 3 * 600 = 1800 dollars, since she made $600 babysitting Zachary and she babysat Julie three times as often. Since she babysat Zachary 1 / 5 as often as she babysat Chloe, she made an additional 5 * 600 = 3000 dollars from babysitting Chloe. All together, the babysitting sessions made Zoe 600 + 1800 + 3000 = 5400 dollars. Subtracting babysitting payments from the total gives 8000 - 5400 = 2600 dollars. Zoe therefore made 2600 dollars cleaning pools. The answer is 2600.
[Question]A taco truck buys 100 pounds of beef. They use .25 pounds of beef per taco. If they sell each taco for $2 and each taco takes $1.5 to make how much profit did they make if they used all the beef?
[Answer]They made 100 / .25 = 400 tacos. Each taco gives a profit of 2 - 1.5 = $.5. So they made a profit of 400 * .5 = $200. The answer is 200.
[Question]John buys 10 packs of magic cards. Each pack has 20 cards and 1/4 of those cards are uncommon. How many uncommon cards did he get?
[Answer]
Each pack has 20 / 4 = 5 uncommons. So he got 10 * 5 = 50 uncommons. The answer is 50.