CPM Homework Help : ACC6 Problem 5-86

Darnell is designing a new game. He will have $110$ different-colored blocks in a bag. While a person is blindfolded, he or she will reach in and pull out a block. The color of the block determines the prize according to Darnell’s sign at right.

blue → small toy
purple → hat
green → large stuffed animal

If he wants players to have a $60\%$ probability of winning a small toy, how many blue blocks should he have?
Hint (a):
Since picking a blue block gives a small toy prize, Darnell can consider the probability of picking a blue block as the probability of winning a small toy.
More Help (a):
If he wants players to have a $60\%$ probability of winning a small toy, $60\%$ of the $110$ blocks in the bag should be blue.
Answer (a):
$66$ blue blocks
If he wants players to have a $10\%$ probability of winning a large stuffed animal, how many green blocks should he have?
Hint (b):
See part (a).