Difference between revisions of "2008 AMC 12B Problems/Problem 3"
(New page: ==Problem 3== A semipro baseball league has teams with <math>21</math> players each. League rules state that a player must be paid at least <math>15,000</math> dollars, and that the total ...) |
(→Solution) |
||
| Line 7: | Line 7: | ||
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 <math>700,000</math> | 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 <math>700,000</math> | ||
| − | <math>700,000 = 20 * 15,000 + x | + | <math>700,000 = 20 * 15,000 + x</math> |
| − | < | + | <math>x = 400,000</math> |
| − | The answer | + | The maximum any player could make is <math>400,000</math> dollars (answer choice C) |
Revision as of 21:55, 1 March 2008
Problem 3
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 (answer choice C)
