Difference between revisions of "2005 CEMC Gauss (Grade 7) Problems/Problem 6"
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At a class party, each student randomly selects a wrapped prize from a bag. The prizes include books and calculators. There are <math>27</math> prizes in the bag. Meghan is the first to choose a prize. If the probability of Meghan choosing a book for her prize is <math>2/3</math>, how many books are in the bag? | At a class party, each student randomly selects a wrapped prize from a bag. The prizes include books and calculators. There are <math>27</math> prizes in the bag. Meghan is the first to choose a prize. If the probability of Meghan choosing a book for her prize is <math>2/3</math>, how many books are in the bag? | ||
Revision as of 12:38, 22 October 2014
Problem
At a class party, each student randomly selects a wrapped prize from a bag. The prizes include books and calculators. There are 
prizes in the bag. Meghan is the first to choose a prize. If the probability of Meghan choosing a book for her prize is 
, how many books are in the bag?
Solution
Since Meghan chooses a prize from in the bag and the probability of her choosing a book is , then of the prizes in the bag must be books. Therefore, the number of books in the bag is 
. The answer is 
.
