Question: If Jenna has twice as much money in her bank account as Phil does, and Phil has one-third the amount of money that Bob has in his account, and Bob has $60 in his account, how much less money does Jenna have in her account than Bob?
Answer: If Phil has one - third of the amount that Bob does, that means he has $60 / 3 = $20 in his account. Since Jenna has twice as much money as Phil, that means she has $20 * 2 = 40 in her account. Since Bob has $60 in his account, that means he has $60 - $40 = $20 more than Jenna. The answer is 20.
[Question]A company is hosting a seminar. So far, 30 attendees from company A have been registered; company B has twice the number of attendees of company A; company C has 10 more attendees than company A; company D has 5 fewer attendees than company C. If a total of 185 attendees have registered, how many attendees who registered are not from either company A, B, C or D?
[Answer]There are 30 x 2 = 60 attendees from company B. Company C has 30 + 10 = 40 attendees. Company D has 40 - 5 = 35 registered attendees. So, the total attendees from company A, B, C, and D is 30 + 60 + 40 + 35 = 165. Therefore there are 185 - 165 = 20 attendees that are not from companies A, B, C, or D. The answer is 20.
Q: 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?
A: 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.
Question: Camden just bought 3/4 times as many dogs as Rico, who has 10 more dogs than Justin. If Justin has 14 dogs, what's the total number of legs that Camden's dogs have?
Answer: If Justin has 14 dogs, Rico, who has 10 more dogs than Justin, has 14 + 10 = 24 dogs. Since Camden just bought 3 / 4 times as many dogs as Rico, he bought 3 / 4 * 24 = 18 dogs. A dog has four legs, so Camden's 18 dogs have 18 * 4 = 72 legs. The answer is 72.
[Question]One of the activities in Grade 6 PE class is to get the average weight of the students from each group. In one of the groups, the average weight of five girls is 45 kg while the average weight of five boys is 55 kg. What is the average weight of the ten students from that group?
[Answer]The sum of the weights of the five girls is 45 kg x 5 = 225 kg. The sum of the weights of the five boys is 55 kg x 5 = 275 kg. The sum of the weights of the ten students is 225 kg + 275 kg = 500 kg. Hence, the average weight of those ten students is 500 kg / 10 = 50 kg. The answer is 50.
[Question]What is fifteen more than a quarter of 48?
[Answer]
A quarter of 48 is 48 / 4 = 12. The number is 12 + 15 = 27. The answer is 27.