Difference between revisions of "1992 AIME Problems/Problem 3"
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== Problem == | == Problem == | ||
| + | A tennis player computes her win ratio by dividing the number of matches she has won by the total number of matches she has played. At the start of a weekend, her win ratio is exactly <math>\displaystyle.500</math>. During the weekend, she plays four matches, winning three and losing one. At the end of the weekend, her win ratio is greater than <math>\displaystyle .503</math>. What's the largest number of matches she could've won before the weekend began? | ||
== Solution == | == Solution == | ||
Revision as of 18:14, 26 July 2006
Problem
A tennis player computes her win ratio by dividing the number of matches she has won by the total number of matches she has played. At the start of a weekend, her win ratio is exactly 
. During the weekend, she plays four matches, winning three and losing one. At the end of the weekend, her win ratio is greater than 
. What's the largest number of matches she could've won before the weekend began?
