Q: Samuel took 30 minutes to finish his homework while Sarah took 1.3 hours to finish it. How many minutes faster did Samuel finish his homework than Sarah?
A: Since there are 60 minutes in 1 hour, then 1.3 hours is equal to 1.3 x 60 = 78 minutes. Thus, Samuel is 78 30 = 48 minutes faster than Sarah. The answer is 48.
Question: James decides to start making his own coffee. He buys a coffee machine for $200 and gets a $20 discount. He figures it will cost him $3 a day to make his coffee. He previously bought 2 coffees a day for $4 each. How long until the machine pays for itself?
Answer: He bought the machine for $200 - $20 = $180. He used to spend 4 * 2 = $8 a day. So he saves $8 - $3 = $5 a day. So it will take him $180 / $5 = 36 days to pay for itself. The answer is 36.
[Question]Mary was working on a research paper and already had borrowed 5 books from the library. 3 books weren't helpful so she returned those and checked out 5 more books. 3 days later, she went back to the library and returned 2 of those books and checked out 7 more books. How many books does Mary currently have checked out of the library?
[Answer]Mary started with 5 books and returned 3 so she had 5 - 3 = 2 books. She had 2 books and checked out 5 more books so she had 2 + 5 = 7 books. She now has 7 books but returned 2 so she has 7 - 2 = 5 books. She had 5 books and checked out 7 more books so she has 5 + 7 = 12 books checked out. The answer is 12.
Q: Nathan bought one large box of bananas. He saw that there are six bunches with eight bananas in a bunch and five bunches with seven bananas in a bunch. How many bananas did Nathan have?
A: There were 6 x 8 = 48 bananas from the bunches with 8 bananas in a bunch. There were 5 x 7 = 35 bananas from the bunches with 7 bananas in a bunch. Therefore, Nathan had 48 + 35 = 83 bananas. The answer is 83.
Question: Laura loves to cook. One day she decided to make dinner for her family. She bought the necessary ingredients for this occasion: two salads, 2 kilograms of beef, 1 kilogram of potatoes, and two liters of juice. One salad costs $3, and one kilogram of beef is two times more expensive. One kilogram of potatoes costs one-third of the price of one salad, and one liter of juice is $1.5. How much did Laura need to pay for all the products she bought?
Answer: Laura bought two salads, for 2 * 3 = $6. One kilogram of beef is two times more expensive than one salad, which means it cost 2 * 3 = $6. So Laura spend 2 * 6 = $12 on beef. One kilogram of potatoes costs only 3 * 1 / 3 = $1, and that's how much Laura paid for potatoes. Laura bought two liters of juice, so she did spend on them 2 * 1.5 = $3. So in total Laura paid 6 + 12 + 1 + 3 = $22. The answer is 22.
Q: On his farm, Mr. Mathews has goats and sheep in the ratio of 5:7. He decides to sell half of the goats at $40 each and 2/3 of the sheep at $30 each. How much money does he make from the sale of the animals if the total number of sheep and goats on the farm is 360?
A:
The total ratio of goats and sheep on the farm is 5 + 7 = 12. The fraction that represents goats from the total ratio is 5 / 12, and since there are 360 goats and sheep on the farm, the number of goats is 5 / 12 * 360 = 150. The number of sheep on Mr. Mathews's farm is 360 - 150 = 210. Mr. Mathews sold 1 / 2 * 150 = 75 goats. If each goat went for $40, the total amount of money Mr. Mathews made from the sale of his goats is 75 * $40 = $3000. He also sold 2 / 3 * 210 = 140 of the total sheep on his farm. The income from the sale of the sheep is 140 * $30 = $4200. From the sale of goats and sheep, Mr. Mathews made $4200 + $3000 = $8600. The answer is 7200.