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A semipro baseball league has teams with 21 players each. League rules

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Joined: 02 Sep 2009
Posts: 58396
A semipro baseball league has teams with 21 players each. League rules  [#permalink]

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27 Mar 2019, 00:37
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15% (low)

Question Stats:

79% (01:17) correct 21% (01:59) wrong based on 34 sessions

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A semipro baseball league has teams with 21 players each. League rules state that a player must be paid at least 15,000 dollars, and that the total of all players' salaries for each team cannot exceed 700,000 dollars. What is the maximum possiblle salary, in dollars, for a single player?

(A) 270,000
(B) 385,000
(C) 400,000
(D) 430,000
(E) 700,000

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Re: A semipro baseball league has teams with 21 players each. League rules  [#permalink]

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27 Mar 2019, 01:04
15000*20+x=700000
x=700000-300000=400000
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Joined: 12 Sep 2015
Posts: 4015
Re: A semipro baseball league has teams with 21 players each. League rules  [#permalink]

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27 Mar 2019, 07:02
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Top Contributor
Bunuel wrote:
A semipro baseball league has teams with 21 players each. League rules state that a player must be paid at least 15,000 dollars, and that the total of all players' salaries for each team cannot exceed 700,000 dollars. What is the maximum possiblle salary, in dollars, for a single player?

(A) 270,000
(B) 385,000
(C) 400,000
(D) 430,000
(E) 700,000

The SUM of all 21 salaries = \$700,000

To MAXIMIZE the salary of 1 player, we must MINIMIZE the salaries of the other 20 players
The minimum salary per players is \$15,000

So, let's pay 20 players \$15,000 each
20 x \$15,000 = \$300,000

So, the remaining salary = \$700,000 - \$300,000 = \$400,000

Cheers,
Brent
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Re: A semipro baseball league has teams with 21 players each. League rules   [#permalink] 27 Mar 2019, 07:02
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