Question: Karen's students are about to take a standardized test. Karen gets a $500 bonus if their average score is above 75, plus an extra $10 bonus for every additional point the average score increases above 75. So far, Karen has graded 8 tests, and the average is 70. Given that each student can have a maximum score of 150, what combined score do the last two tests need to have for Karen to earn a $600 bonus?
Answer: First subtract $500 from Karen's goal bonus amount to find how much she makes from the extra $10 / point bonus: $600 - $500 = $100. Then divide the extra bonus by the extra rate: $100 / $10 / point = 10 points. Then add the 10 extra points to the baseline 75 point goal to find the students' average test score: 10 points + 75 points = 85 points. Then added the 8 graded tests to the 2 ungraded tests to find the total number of tests: 2 tests + 8 tests = 10 tests. Then multiply the 85 point average by the number of tests to find the total number of points the students need to earn: 85 points / test * 10 tests = 850 points. Then multiply the current average by the current number of graded tests to find how many points have been earned so far: 70 points / test * 8 tests = 560 points. Then subtract the number of points earned from the number of points needed to find the combine score the last two tests need: 850 points - 560 points = 290 points. The answer is 290.
[Question]Josh buys 3 packs of string cheese. Each piece of string cheese cost 10 cents. Each pack has 20 string cheeses in them. How many dollars did he pay?
[Answer]Each pack cost 20 * 10 = 200 cents. So each pack cost 200 / 100 = $2. That means he pays 2 * 3 = $6. The answer is 6.
Q: Colin ran his first mile in 6 minutes. He ran his next two miles in 5 minutes each and finished his 4th mile in 4 minutes. What was the average time it took him to run a mile?
A: His first mile was in 6 minutes, then 5 minutes, another 5 minutes and his final mile was 4 minutes so it took him 6 + 5 + 5 + 4 = 20 minutes. It took 20 minutes to run 4 miles so his average time was 20 / 4 = 5 minutes per mile. The answer is 5.
Question: Rebecca makes her own earrings out of buttons, magnets, and gemstones. For every earring, she uses two magnets, half as many buttons as magnets, and three times as many gemstones as buttons. If Rebecca wants to make 4 sets of earrings, how many gemstones will she need?
Answer: Four sets of earrings is 2 * 4 = 8 earrings. Since for one earring, she uses two magnets, for eight earrings she uses 2 * 8 = 16 magnets. Since she uses half as many buttons as magnets, then for 8 earrings she would use 16 / 2 = 8 buttons. Since she uses three times as many gemstones as buttons, then in 8 earrings, she will use 8 * 3 = 24 gemstones. The answer is 24.
[Question]There are 10 books on the table. Two-fifths of them are reading books and three-tenths of them are math books. There is one fewer science book than math books and the rest are history books. How many history books are there?
[Answer]Out of the 10 books, 10 x 2 / 5 = 4 are reading books. While 10 x 3 / 10 = 3 are math books. There are 3 - 1 = 2 science books. So, the total number of reading, math, and science books is 4 + 3 + 2 = 9. Thus, there is only 10 - 9 = 1 history book. The answer is 1.
[Question]Adam has 18 magnets. He gave away a third of the magnets, and he still had half as many magnets as Peter. How many magnets does Peter have?
[Answer]
Adam gave away 18 / 3 = 6 magnets. Adam had 18 - 6 = 12 magnets left. Peter has 12 * 2 = 24 magnets. The answer is 24.