[Question]Tim has some cans of soda. Jeff comes by, and takes 6 cans of soda from Tim. Tim then goes and buys another half the amount of soda cans he had left. If Tim has 24 cans of soda in the end, how many cans of soda did Tim have at first?
[Answer]Let x be the number of cans Tim has at first. After Jeff comes by, Tim has x - 6 cans left. Tim buys another (x - 6) / 2 cans. x - 6 + (x - 6) / 2 = 24. 2 * x - 12 + x - 6 = 48. 3 * x - 18 = 48. 3 * x = 66. x = 22. The answer is 22.
Q: Ruby was going to order pizza for dinner. Her son would only eat pepperoni pizza. Her daughter would only eat sausage. Ruby and her husband wanted black olive and mushroom pizza. To make life easy, Ruby decided to order an entire pizza for each of her children and she would split one with her husband. The pizza restaurant charged $10.00 per pizza and $1.00 per topping. She also needed to add a $5.00 tip. Including tip, how much would the pizza order cost?
A: Ruby was going to order 1 for her son, 1 for her daughter and 1 to share with her husband. So she needed to order 1 + 1 + 1 = 3 pizzas. Each pizza cost $10 and she was ordering 3 so that comes to 10 * 3 = $30.00. She needed to order pepperoni, sausage, black olive and mushroom, which came to 4 toppings at $1.00 each so 4 * 1 = $4.00 extra for toppings. The pizzas cost $30 and $4 for the toppings so the total costs of the pizzas came to 30 + 4 = $34.00. She also had to add a $5.00 tip to her current order total of $34.00 so 5 + 34.00 = $39.00 for the total order. The answer is 39.
Question: For an operations manager job at a company, a person with a degree earns three times the amount paid to a diploma holder for the same position. How much will Jared earn from the company in a year after graduating with a degree if the pay for a person holding a diploma certificate is $4000 per month?
Answer: Since the pay for a person holding a degree is three times the amount paid for a diploma holder, Jared will earn 3 * $4000 = $12000 per month. In a year with 12 months, Jared will earn a total of 12 * 12000 = 144000. The answer is 144000.
[Question]Julia's internet speed is 20 MBps (megabytes per second). How many songs she can download in half an hour if the size per song is 5MB?
[Answer]1 hour has 60 minutes, therefore 1 / 2 hour has 1 / 2 * 60 = 30 minutes. 1 minute has 60 seconds, therefore 30 minutes has 30 * 60 = 1800 seconds. If Julia's internet speed is 20MBps and each song has a size of 5MB, then it would take 5 / 20 = 1 / 4 seconds to download one song. If it takes 1 / 4 seconds to download 1 song, then in 1800 seconds, Julia could download 1800 / (1 / 4) = 1800 * 4 = 7200 songs. The answer is 7200.
Q: Macy's is selling shirts that have been reduced to $6. This price is at 25% of the original price. What was the original price?
A: The original price is x. The discount is 100% - 25% remaining = 75% discount. The discount is 75%, so the original price is x - .75x = .25x. The sale price is $6, so $6 = .25x, which is the same as 6 / .25 = x. X = $24. The answer is 24.
Question: In Professor Plum's biology class there are 40 students. Of those students, 80 percent have puppies. Of those who have puppies, 25% also have parrots. How many students have both puppies and parrots?
Answer:
We start with the initial numbers of students, 40 and multiply that by .8 for 40 * 0.8 = 32 who own puppies. That the number of students with puppies, 32, and multiply that by .25 to find out how many own both puppies and parrots, 32 * 0.25 = 8 who own puppies and parrots. The answer is 8. The answer is 8.