A basketball team composed of 12 players scored 100 points i

BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

BTGmoderatorAT: Moderator; Posts: 426; Joined: Tue Aug 22, 2017 8:48 pm; Followed by:1 members

A basketball team composed of 12 players scored 100 points i

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?

Quote

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 am; Location: Boston, MA; Thanked: 1153 times; Followed by:128 members; 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

Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]