Problems of the Week - September 20 to September 26

Rewards for Problems of the week:

5 stars for the correct answer at your level; 10 stars for the next level; 20 stars for 2+ levels up.

Lower Elementary: 

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?

Upper Elementary: 

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?

Middle School: 

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?

Algebra and Up: 

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.)

Challenge problem to take home. 5 stars for the correct answer. 

Dashed arrows mean to add and solid arrows mean to multiply.

If all circles contain positive integers, what is the value of the marked circle?