2008 AMC 12B Problems/Problem 3
Problem
A semipro baseball league has teams with players each. League rules state that a player must be paid at least dollars, and that the total of all players' salaries for each team cannot exceed dollars. What is the maximum possiblle salary, in dollars, for a single player?
Solution
We want to find the maximum any player could make, so assume that everyone else makes the minimum possible and that the combined salaries total the maximum of
The maximum any player could make is dollars
See Also
2008 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 2 |
Followed by Problem 4 |
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