Q: James and Ali together own $250. If you know that James owns $40 more than Ali, then calculate the amount owned by James.
A: Let X be the amount owned by James. The amount owned by Ali is X - $40. The total amount owned by both of them X + (X - $40) = $250. Combining like terms, we get X * 2 - $40 = $250. Adding $40 to both sides, we get X * 2 = $290. Dividing both sides by 2, we get X = $145. The answer is 145.
Question: The file, 90 megabytes in size, downloads at the rate of 5 megabytes per second for its first 60 megabytes, and then 10 megabytes per second thereafter. How long, in seconds, does it take to download entirely?
Answer: The first 60 megabytes take 60 / 5 = 12 seconds. There are 90 - 60 = 30 remaining megabytes. The remaining 30 megabytes take 30 / 10 = 3 seconds. And 12 + 3 = 15 seconds. The answer is 15.
[Question]Maggie picked 40 apples. Kelsey picked 28 apples. Layla picked some apples, too. The three averaged 30 apples picked. How many did Layla pick?
[Answer]Together, they picked 30 * 3 = 90. There are 40 + 28 = 68 accounted for. Then Layla picked 90 - 68 = 22. The answer is 22.
Q: Nancy, the librarian, is shelving books from the cart. She shelved 12 history books, 8 romance books, and 4 poetry books from the top section of the cart. Half the books on the bottom section of the cart were mystery books, which she quickly put back into place. Then, she shelved the remaining books from the bottom of the cart, including 5 Western novels and 6 biographies. How many books did she have on the book cart when she started?
A: Half of the books on the bottom section of the cart are mystery books, which means they are the same as the number of Western novels and biographies put together. So there are 5 + 6 = 11 mystery novels. Add them all together, and there are 12 history + 8 romance + 4 poetry + 11 mystery + 5 Western + 6 biographies = 46 books total. The answer is 46.
Question: Bob was creating a math test for an online platform. He created 13 questions in the first hour. Bob then doubled his rate for the second hour, and doubled his second hour rate for the third hour. How many questions did Bob create in the three hours?
Answer: First hour: 13. Second hour:13(2) = 26. Third hour: 26(2) = 52. Total:13 + 26 + 52 = 91 questions. The answer is 91.
Q: In a class of 300 students, the number of smoking teens is 40% of the class. In a year, 70% of the smoking students are hospitalized from smoking-related complications. Calculate the total number of smoking students from the class who have not been hospitalized from smoking-related complications.
A:
If the class has 300 students, there are 40 / 100 * 300 = 120 smoking students. In a year, 70% of the smoking students are hospitalized from smoking - related complications, a total of 70 / 100 * 120 = 84 students. The number of smoking students who've not been hospitalized from smoking - related complications is 120 - 84 = 36. The answer is 36.