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A basketball team composed of 12 players scored 100 points i

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A basketball team composed of 12 players scored 100 points i

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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

I'm confused how to set up the formulas here. Can any experts help?

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ardz24 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

I'm confused how to set up the formulas here. Can any experts help?
If we want to maximize the number of points one player could have scored, we want to minimize the number of points that everyone else scored. We're told that the least anyone could have scored is 7 points. If 11 players scored exactly 7 points, they'd have produced a total of 11*7 = 77 points, leaving 100 - 77 = 23 points for the remaining player to have scored. The answer is E

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