|
|
| (5 intermediate revisions by 3 users not shown) |
| Line 1: |
Line 1: |
| ==Problem==
| | #REDIRECT [[2008 AMC 12B Problems/Problem 3]] |
| A semipro baseball league has teams with 21 players each. League rules state that a player must be paid at least <dollar/>15,000 and that the total of all players' salaries for each team cannot exceed <dollar/>700,000. What is the maximum possible salary, in dollars, for a single player?
| |
| | |
| <math>\mathrm{(A)}\ 270,000\qquad\mathrm{(B)}\ 385,000\qquad\mathrm{(C)}\ 400,000\qquad\mathrm{(D)}\ 430,000\qquad\mathrm{(E)}\ 700,000</math>
| |
| | |
| ==Solution==
| |
| The maximum occurs when 20 players get the minimum wage and the total of all players' salaries is 700000. That is when one player gets <math>700000-15000*20=400000\Rightarrow \boxed{\mathrm{(C)}}</math>.
| |
| | |
| ==See also==
| |
| {{AMC10 box|year=2008|ab=B|num-b=3|num-a=5}}
| |
| | |
| [[Category:Introductory Algebra Problems]] | |
| {{MAA Notice}}
| |
