Q: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter?
A: Let x represent the number of homework points. Quiz:x + 5. Test:4(x + 5) = 4x + 20. Total:x + x + 5 + 4x + 20 = 265. 6x + 25 = 265. 6x = 240. x = 40 points. The answer is 40.
Question: Phillip is taking a math test and an English test on Monday. The math test has 40 questions and he gets 75% of them right. The English test has 50 questions and he gets 98% of them right. How many total questions does he get right?
Answer: On the math test he gets 30 questions correct because 40 x .75 = 30. On the English test he gets 49 questions right because 50 x .98 = 49. He gets 79 questions right in total. The answer is 79.
[Question]A construction company is building 2 apartment buildings with 12 floors each. The apartments are almost ready to sell but all of them need doors to be completed. Each floor has 6 apartments, and each apartment needs 7 doors in total. How many doors does the company need to buy?
[Answer]The number of floors is 12 floors / building x 2 buildings = 24 floors. The number of apartments is 6 apartments / floor x 24 floors = 144 apartments. The company has to buy 7 doors / apartment x 144 apartments = 1008 doors. The answer is 1008.
Q: Angie bought three times as many pretzels at the mall as Shelly did. Shelly bought half as many pretzels as Barry. If Barry bought 12 pretzels, how many did Angie buy?
A: Shelly bought 12 / 2 = 6 pretzels. Angie bought 6 * 3 = 18 pretzels. The answer is 18.
Question: A group of 5 children are taken to an amusement park. Only 3 of them were daring enough to get on the Ferris wheel which cost $5 per child. Everyone had a go at the merry-go-round (at $3 per child). On their way home, they bought 2 cones of ice cream each (each cone cost $8). How much did they spend altogether?
Answer: 3 children rode the Ferris wheel at $5 reach for a total of 3 * $5 = $15. 5 children rode the merry - go - round at $3 each for a total of 5 * $3 = $15. 5 children bought 2 cones of ice cream each at $8 per cone for a total of 5 * 2 * $8 = $80. In total, they spent $15 + $15 + $80 = $110. The answer is 110.
Q: On Monday Samson ate 3 sandwiches at lunch and ate twice as many at dinner. The next morning, he felt sick from eating all those sandwiches, so he only ate one sandwich for breakfast. How many more sandwiches in total did Samson eat on Monday than Tuesday?
A:
Samson ate 3 sandwiches x 2 = 6 sandwiches at dinner on Monday. He ate 3 sandwiches + 6 sandwiches = 9 sandwiches total on Monday. Therefore, he ate 9 sandwiches - 1 sandwich = 8 more sandwiches on Monday than Tuesday. The answer is 8.