A basketball team composed of 12 players scored 100 points i

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BTGmoderatorAT: Moderator; Posts: 426; Joined: Tue Aug 22, 2017 8:48 pmFollowed by: 1 member

by BTGmoderatorAT » Sun Dec 03, 2017 5:28 am

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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Source: Beat The GMAT — Problem Solving | Sun Dec 03, 2017 5:28 am

DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members; Location: Boston, MA; Thanked: 1153 times; GMAT Score:770

by DavidG@VeritasPrep » Sun Dec 03, 2017 6:50 am

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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Scott@TargetTestPrep: GMAT Instructor; Posts: 8177; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Sun Sep 29, 2019 6:18 pm

BTGmoderatorAT 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 11 players scored the minimum of 7 points, for a total of 11 x 7 = 77 points, the 12th player could have scored 100 - 77 = 23 points.

Answer: E

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