Question: Bethany collected 19 seashells today. Yesterday, she collected twice as many as she did today. She plans to collect twice as many seashells tomorrow as she did yesterday. How many seashells does Bethany plan to collect tomorrow?
Answer: 76 seashells
Solution: Bethany collected 19 seashells today and 19 + 19 = 38 seashells yesterday. Twice as many as 38 seashells is 38 + 38 = 76 seashells. So, Bethany plans to collect 76 seashells tomorrow.
Question: A three-act play has a scene change between Act One and Act Two and a 15-minute intermission between Act Two and Act Three. Each act is exactly 27 minutes long. If the play runs for 1 hour and 43 minutes from start to finish, then how long does the scene change take?
Answer: 7 minutes
Solution: The three acts of the play take 27 minutes × 3 = 1 hour and 21 minutes. Fifteen minutes more makes 1 hour and 36 minutes. An hour and 43 minutes is 43 – 36 = 7 minutes longer than that, so the scene change must take 7 minutes.
Question: A candy company buys a machine that wraps candies at a rate of 1 candy per second. They start using the machine on a Monday. If the machine runs for 10 hours each day, then on which day will the machine wrap the 100,000th candy?
Answer: Wednesday
Solution: The machine wraps 60 candies per minute, or 60 × 60 = 3,600 candies per hour. That means that the machine wraps 3,600 × 10 = 36,000 candies in 10 hours. By the end of Monday, it wraps 36,000 candies. By the end of Tuesday, it wraps a total of 72,000 candies. By the end of Wednesday, it wraps 108,000 candies. So, the 100,000th candy gets wrapped on Wednesday.
Question: Jake wants to guess the number of jelly beans in a cylindrical jar. Every 4 jelly beans take up a cubic inch of space. If the jar is 10 inches in diameter and 18 inches tall, how many jelly beans should Jake guess are in the jar? (Round π to 3.14 in your calculations.)
Answer: 5,652 jelly beans
Solution: First, we need to find the volume of the jar by multiplying the area of the base by the height:
(3.14 × 5²) × 18 = 1,413 cubic inches.
There are 4 jelly beans to each of those, so Jake should guess that there are 1,413 × 4 = 5,652 jelly beans in the jar.
Thanks, check back next week for more!
