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A basketball team composed of 12 players scored 100 points

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A basketball team composed of 12 players scored 100 points [#permalink]

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A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points that an individual player might have scored?

A. 7
B. 13
C. 16
D. 21
E. 23
[Reveal] Spoiler: OA

Kudos [?]: 15 [2], given: 12

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Re: A basketball team composed of 12 players scored 100 points [#permalink]

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New post 06 Jun 2013, 02:59
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WarriorGmat wrote:
A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points that an individual player might have scored?

A. 7
B. 13
C. 16
D. 21
E. 23


General rule for such kind of problems:
to maximize one quantity, minimize the others;
to minimize one quantity, maximize the others.

Thus to maximize the number of points of one particular player minimize the number of points of all other 11 players.

Minimum number of points for a player is 7, so the minimum number of points of 11 players is 7*11=77.

Therefore, the maximum number of points for 12th player is 100-77=23.

Answer: E.

Hope it's clear.
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Kudos [?]: 135739 [4], given: 12707

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Re: A basketball team composed of 12 players scored 100 points [#permalink]

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New post 02 Dec 2017, 23:27
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Re: A basketball team composed of 12 players scored 100 points   [#permalink] 02 Dec 2017, 23:27
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