2008 AMC 10B Problems/Problem 4: Difference between revisions

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-==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 \$15,000 and that the total of all players' salaries for each team cannot exceed \$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 salary for a single player occurs when the other 20 players receive the minimum salary. The total of all players' salaries is 700000. The answer is <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}}