Problem of the Week - Upper Elementary - April 11, 2021 to April 17, 2021

Upper Elementary: 

Question: Aria, Brett, and Chelsea bounce a beach ball between them 100 times. Aria bounces the ball to Brett, Brett bounces the ball to Chelsea, Chelsea bounces the ball to Aria, and the pattern continues. Who bounces the ball the 100th time? 

Answer; Aria

Solution: There are three beach ball bouncers in the group, and Chelsea is the third. So, for each bounce that's numbered a multiple of 3, Chelsea must bounce the ball. The closest multiple of 3 before 100 is 99, so Chelsea bounces the ball the 99th time. That means that Aria bounces the ball the 100th time because she's next in the pattern.