Problems of the Week - June 7 to June 12

Rewards for Problems of the week:

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

Lower Elementary: 

Question: A clown makes 10 balloon giraffes, 16 balloon poodles, 5 balloon monkeys, and a balloon octopus. How many balloon animals does the clown make?

Upper Elementary: 

Question: A spinning prize wheel has four different varieties of prizes. 20% of the prizes are items from a prize case. 30% of the prizes are tickets to local events and museums. 40% of the prizes are cash. The other 2 prizes are all-expense-paid trips. How many different prizes are on the wheel?

Middle School: 

Question: A dunk tank is ⁴/₅ full. After Tom gets dunked, ¹/₄ of the water splashes out. After that, there are 450 gallons of water left. How many gallons of water does the dunk tank hold when it’s full?

Algebra and Up:

Question: The paper cone of a snowcone is 5 inches deep and 3 inches wide at its opening. If the cone is filled to the top with snow and then a perfect hemisphere of snow is placed on top, what is the volume of the snow in cubic inches?

Challenge problem to take home. 10 stars for the correct answer. 

+\red{R}+\yellow{E}?

In the circle puzzle below, solid arrows denote multiplication while dashed arrows denote addition. Both marked circles represent the same number, and all the other circles contain distinct integers.

What is the value of the marked circles?