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? | ||
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==See Also== | ==See Also== | ||
| − | + | {{CEMC box|year=2005|competition=Gauss (Grade 7)|num-b=5|num-a=7}} | |
Latest revision as of 00:45, 23 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 
.
See Also
| 2005 CEMC Gauss (Grade 7) (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| CEMC Gauss (Grade 7) | ||
