[Question]Maria wants to buy a brand new bike. The retail price at the bike shop stands at $600. She saved $120 toward the purchase. As this was not enough, she asked her mother to give her the remaining amount. Her mother offered her $250 and told her that she needs to earn the rest working during the holidays. How much money must Maria earn to be able to buy the bike she wants?
[Answer]Maria has $120 and received $250 from her mother. So she has 120 + 250 = $370. As the price of the bike stands at $600, Maria needs 600 – 370 = $230 more to buy the bike. The answer is 230.
Q: An elementary school teacher is making Halloween goodie bags for her class. She wants the bags to be personalized, so she surveys her students asking whether they'd like a vampire-themed bag or a pumpkin-themed bag. Of her 25 students, 11 indicate they want the vampire-themed bag and 14 indicate they want the pumpkin-themed bag. The store the teacher shops at sells packs of 5 of each theme at a price of $3 per package, as well as individual bags of each theme at a price of $1 each. What is the least amount of money the teacher can spend on the bags if she buys every student the theme they requested?
A: Because it is cheaper to buy the packs of 5, the teacher should satisfy the 11 students who want the vampire theme with 2 packs of 5 and 1 individual bag. This will cost the teacher 2 * 3 + 1 * 1 = $7. Similarly, the 14 students who want a pumpkin - themed bag can be satisfied by 2 packs of 5 and 4 individual bags at a cost of 2 * 3 + 4 * 1 = $10. Therefore, the teacher must spend 7 + 10 = $17. The answer is 17.
Question: At a roller derby, 4 teams are competing. Each team is made up of 10 members, and each member needs a pair of roller skates to compete in and another pair of skates as a backup. None of the skates have laces yet, so each member is offered 3 sets of laces per pair of skates. How many sets of laces have been handed out?
Answer: There are a total of 4 teams * 10 members per team = 40 team members. Each person receives 1 pair of competing roller skates + 1 pair of backup roller skates = 2 pairs of roller skates. So there are a total of 40 team members * 2 pairs of roller skates per team member = 80 roller skates. There were therefore 80 roller skates * 3 sets of laces per pair of roller skates = 240 sets of laces handed out. The answer is 240.
[Question]Mark wants to set the record for most consecutive ropes jumped. The record is 54,000. He can jump 3 times a second. How many hours would he need to jump rope?
[Answer]He can jump 3 * 60 = 180 times per minute. So he can jump 180 * 60 = 10,800 per hour. So it would take him 54,000 / 10,800 = 5 hours. The answer is 5.
Q: An 18-month magazine subscription is normally $34. The magazine is currently running a promotion for $0.25 off each twice-a-month issue when signing up for the 18-month subscription. How many dollars cheaper is the promotional subscription than the normal one?
A: The subscription sends twice monthly issues, so there are 2 * 18 = 36 issues. Thus, the promotional offer is 36 * 0.25 = $9 cheaper than the normal subscription. The answer is 9.
Question: A woman is trying to decide whether it will be quicker to take an airplane or drive herself to a job interview. If she drives herself, the trip will take her 3 hours and 15 minutes. If she takes an airplane, she will first need to drive 10 minutes to the airport, and then wait 20 minutes to board the plane. After that, she will be on the airplane for one-third of the time it would have taken her to drive herself before landing in the destination city. Finally, it will take her an additional 10 minutes to get off the airplane and arrive at her interview site after the plane lands. Given this information, how many minutes faster is it for her to take the airplane?
Answer:
First, we must convert the driving time of 3 hours and 15 minutes to minutes. Since there are 60 minutes in an hour, driving takes a total of 3 * 60 + 15 = 195 minutes. Next, the woman will be on the airplane for one - third of 195 minutes, or 195 / 3 = 65 minutes. Therefore, in total, the airplane trip will take the woman 10 + 20 + 65 + 10 = 105 minutes. Thus, the airplane trip is 195 - 105 = 90 minutes faster than driving herself to the interview. The answer is 90.