Difference between revisions of "2008 AMC 12B Problems/Problem 3"
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{{AMC12 box|year=2008|ab=B|num-b=2|num-a=4}} | {{AMC12 box|year=2008|ab=B|num-b=2|num-a=4}} | ||
| + | {{AMC10 box|year=2008|ab=B|num-b=3|num-a=5}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
[[Category: Introductory Algebra Problems]] | [[Category: Introductory Algebra Problems]] | ||
Latest revision as of 12:37, 4 November 2025
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 |
| 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 | |
| All AMC 12 Problems and Solutions | |
| 2008 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 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 | ||
| All AMC 10 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
