Q: Barbara wants to save up for a new wristwatch that costs $100. Her parents give her an allowance of $5 a week and she can either save it all up for the watch or spend it as she wishes. 10 weeks pass and due to spending some of her money on ice cream, Barbara currently only has $20. How many more weeks does she need to save for a watch if she stops spending on other things right now?
A: Since barbara needs $100, and she currently has $20, she is remaining with $100 - $20 = $80 to save. With an allowance of $5 each week, she'll need to save for 80 / 5 = 16 weeks. The answer is 16.
Question: James is trying to decide which trail is faster to hike. One trail is 20 miles and mostly downhill, so James can cover it at 5 miles per hour. The other trail is 12 miles, but it's mostly uphill, so James will only be able to cover 3 miles per hour and will have to take an hour break halfway through. How many hours faster is the fastest hike?
Answer: First find how long the first trail takes to hike: 20 miles / 5 miles / hour = 4 hours. Then find how long James spends hiking the second trail: 12 miles / 3 miles / hour = 4 hours. Then add the 1 hour break James has to take on the second trail: 4 hours + 1 hour = 5 hours. Then subtract the time for the first trail from the time for the second trail to find the difference: 5 hours - 4 hours = 1 hour. The answer is 1.
[Question]Kate has to fill 52 balloons for the party. Each balloon holds 5 gallons of air. For the first 10 minutes, she can fill the balloons at a rate of 8 gallons of air per minute. For the next five minutes, she fills them at half that rate. After that, she fills the rest of the balloons at a rate of 2 gallons of air per minute. How many minutes will it take her to fill all of the balloons?
[Answer]She needs to fill a total of 52 * 5 = 260 gallons of air. In the first ten minutes, she fills 8 * 10 = 80 gallons of air. For the next five minutes, she fills 8 / 2 * 5 = 20 gallons of air. That leaves her with 260 - 80 - 20 = 160 gallons of air to fill. It will take her 160 / 2 = 80 more minutes to fill the rest of the balloons. The total time to fill all of the balloons is 10 + 5 + 80 = 95 minutes. The answer is 95.
Q: Janice gave all three dozens of pebbles from her trip to her friends. Each of her friends got 4 pebbles. How many friends received pebbles?
A: Three dozens of pebbles are equal to 3 x 12 = 36 pebbles. So, 36 / 4 = 9 friends received pebbles. The answer is 9.
Question: Jackson spends 9 hours playing video games and 1/3 that much time studying. If Jackson's grade starts at 0 points and increases by 15 points for every hour he spends studying, what is his grade?
Answer: First find how many hours he spends studying by dividing the number of hours spent gaming by 3: 9 hours / 3 = 3 hours. Then multiply that quantity by the point increase per hour to find Jackson's grade: 3 hours * 15 points / hour = 45 points. The answer is 45.
Q: Tim owns rental properties. He decides to replace all the locks and needs to get 3 keys per lock. He owns two apartment complexes which each have 12 apartments. How many keys does he need to make?
A:
There are 2 * 12 = 24 apartments he needs keys for. So he needs 24 * 3 = 72 keys. The answer is 72.