[Question]Marcus wants to buy a new pair of shoes. He decided to pay not more than $130 for them. He found a pair for $120, on which he got a discount of 30%. How much money will he manage to save by buying these shoes and not spending the assumed maximum amount?
[Answer]The discount on the shoes Marcus found is 120 * 30 / 100 = $36. That means he only had to pay 120 - 36 = $84. So Marcus was able to save 130 - 84 = $46. The answer is 46.
Q: Brittney can chop 15 onions in 5 minutes. Carl can chop 20 onions within that same time. How many more onions can Carl chop in 30 minutes than Brittney?
A: Brittney can chop 15 / 5 = 3 onions in one minute. Carl can chop 20 / 5 = 4 onions in one minute. Brittney can chop 3 x 30 = 90 onions in 30 minutes. Carl can chop 4 x 30 = 120 onions in 30 minutes. Carl can chop 120 - 90 = 30 more onions than Brittney in 30 minutes. The answer is 30.
Question: Jerome bought 5 new toy cars last month. This month he bought twice as many so that he has 40 toy cars now. How many toy cars did Jerome have originally?
Answer: Jerome bought 5 x 2 = 10 toy cars this month. So he bought a total of 5 + 10 = 15 toy cars. Therefore, Jerome had 40 - 15 = 25 toy cars originally. The answer is 25.
[Question]Emery and Serena go to their school library, and each borrows a copy of The life of Jack Steve's book to read for their school project. If Emery can read five times as fast as Serena, and the book takes her 20 days to read, what's the average number of days the two take to read the book?
[Answer]If Emery took twenty days to read the book, then it took Serena 5 * 20 = 100 days to read the whole book. The total number of days taken by the two to read the book is 100 + 20 = 120 days. The average number of days the two take to read the book is 120 / 2 = 60 days. The answer is 60.
Q: Mark builds an apartment that is 16 by 10 feet. There are 6 rooms in total. All the rooms are the same size except the living room which is as big as 3 other rooms. How big is the living room?
A: Total square footage is 16 * 10 = 160 square feet. . There are 3 + 3 = 6 rooms. 6 - 1 = 5 of them are the same size. If x is the size of the normal room then the square footage of all rooms is 5x + 3x = 8x. So each room is 160 / 8 = 20 square feet. So the living room is 20 * 3 = 60 square feet. The answer is 60.
Question: 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?
Answer:
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.