Question: A dental office gives away 2 toothbrushes to every patient who visits. His 8 hour days are packed and each visit takes .5 hours. How many toothbrushes does he give in a 5 day work week?
Answer: Each day he does 8 / .5 = 16 visits. So he does 16 * 5 = 80 visits a week. That means he gives away 80 * 2 = 160 toothbrushes a week. The answer is 160.
[Question]Rita is reading a five-chapter book with 95 pages. Each chapter has three pages more than the previous one. How many pages does the first chapter have?
[Answer]Let P be the number of pages in the first chapter. The second chapter has P + 3 pages. The third chapter has P + 3 + 3 = P + 6 pages. The fourth chapter has P + 6 + 3 = P + 9 pages. The fifth chapter has P + 9 + 3 = P + 12 pages. The whole book has P + 3 + P + 6 + P + 9 + P + 12 = 5P + 30 = 95 pages. Thus, without the 30 extra pages from additional chapters, 5P = 95 - 30 = 65 pages. Therefore, the first chapter had P = 65 / 5 = 13 pages. The answer is 13.
Q: Marcia wants to buy some fruit. Apples cost $2, bananas cost $1, and oranges cost $3. If Marcia buys 12 apples, 4 bananas and 4 oranges, what is the average cost of each piece of fruit in dollars?
A: Find the price of each group of fruit. 12 apples * $2 per apple = $24. 4 bananas * $1 per banana = $4. 3 oranges * $4 per orange = $12. $24 + $4 + $12 = $40 in total that was spent. 12 + 4 + 4 = 20 total fruits bought. $40 / 20 fruits = $2 per fruit. The answer is 2.
Question: The area of a forest is three times the area of the square-shaped street. If the street has a length of 100 meters on one side and the number of trees per square meter in the forest is 4, calculate the total number of trees in the forest.
Answer: Since the area of a square is sides squared, the area of the square - shaped street is 100 * 100 = 10000 square meters. The area of the forest is three times the area of the square - shaped street, a total of 3 * 10000 = 30000 square meters. If the number of trees per square meter in the forest is 4, there are 4 * 30000 = 120000 trees in the forest. The answer is 120000.
[Question]In the last student council election, the winner got 55% of the votes and the loser got the rest. If the school has 2000 students, but only 25% of them voted, how many more votes did the winner get than the loser?
[Answer]500 students voted because 2000 x .25 = 500. The loser got 45% of the votes because 100 - 55 = 45. The winner got 275 votes because 500 x .55 = 275. The loser got 225 votes because 500 x .45 = 225. The winner got 50 more votes because 275 - 225 = 50. The answer is 50.
[Question]There are 30 fish in the tank. One third of them are blue, and half of the blue fish have spots. How many fish in the tank are blue, spotted fish?
[Answer]
There are 30 / 3 = 10 blue fish. There are 10 / 2 = 5 blue spotted fish. The answer is 5.