[Question]In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students?
[Answer]The students are divided into 3 + 2 = 5 parts where 3 parts are for males and 2 parts are for females. Each part represents 1000 / 5 = 200 students. So, there are 3 x 200 = 600 males. And there are 2 x 200 = 400 females. Hence, 600 x 2 / 3 = 400 males play basketball. And 400 x 1 / 5 = 80 females play basketball. A total of 400 + 80 = 480 students play basketball. Therefore, 1000 - 480 = 520 do not like to play basketball. The percentage of the school that do not like to play basketball is 520 / 1000 * 100 = 52. The answer is 52.
Q: In Hawaii, they normally get an average of 2 inches of rain a day. With 100 days left in the year, they've gotten 430 inches of rain. How many inches on average do they need to finish the year with the normal average?
A: They need 730 inches of rain a year to average 2 inches a day because 365 x 2 = 730. They need 300 more inches because 730 - 430 = 300. They need 3 inches a day because 300 / 100 = 3. The answer is 3.
Question: Micah bought envelopes to send, and depending on the weight of the envelope he will need more stamps. If an envelope weighs more than 5 pounds, he will need 5 stamps. If it weighs less than that, it will only need 2 stamps. If he bought 52 stamps with 6 envelopes that weigh less than 5 pounds, how many envelopes in total did Micah need to buy?
Answer: Micah had to buy 6 * 2 = 12 stamps for 6 envelopes less than 5 pounds. He has 52 - 12 = 40 more stamps to buy. There are 40 / 5 = 8 envelopes that weigh more than 5 pounds. Micah needed to buy 8 + 6 = 14 envelopes. The answer is 14.
[Question]Laticia knitted 4 pairs of socks for her nephew. She did such a good job that everyone asked her to start selling them. In the first week, she knitted 12 pairs of socks. In the second week, she knitted 4 more pairs than the week before. On the third week, she only knitted half of the total of the first two weeks. In the fourth week, she knitted 3 fewer pairs than the week before. How many pairs of socks did Laticia knit altogether?
[Answer]In the second week, she knitted 12 + 4 = 16 pairs of socks. In the first two weeks, she knitted 12 + 16 = 28 pairs of socks. On the third week, she knitted 28 / 2 = 14 pairs of socks. On the fourth week, she knitted 14 - 3 = 11 pairs of socks. Altogether, Laticia knitted 4 + 12 + 16 + 14 + 11 = 57 pairs of socks. The answer is 57.
Q: Jack has been driving for the past 9 years. He drives 37,000 miles every four months. How many miles has Jack driven since he started driving?
A: There are 12 / 4 = 3 four month groups in a year. Jack drives 37,000 * 3 = 111,000 miles in a year. Jack has driven 111,000 * 9 = 999,000 miles since he has started driving. The answer is 999000.
Question: A shop is offering a discount on pens. If you buy 10 pens at the regular price, you can get the next 10 for half off. A customer came in and bought 20 pens for $30. What's the regular price of one pen in dollars?
Answer:
Let p be the cost of a full - priced pen. We know that the first 10 pens are sold at the regular price, so they cost 10 * p. We also know the any pens purchased after the first 10 are half - price, so they cost (20 pens - 10 pens) * p / 2 on those. If we add the cost of the first 10 pens and the pens sold at half - price it equals the total purchase of price of $30 = 10 * p + (20 - 10) * p / 2. Thus, $30 = 10 * p + 10 * p / 2. And, $30 = 10 * p + 5 * p. So, $30 = 15 * p. Finally, p = $2. The answer is 2.