Dave’s quiz scores are 60, 90, and 80. What is the score Dave would need on his next quiz to increase his overall averag

This topic has expert replies
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Dave’s quiz scores are 60, 90, and 80. What is the score Dave would need on his next quiz to increase his overall average score to 82?

A. 92
B. 94
C. 96
D. 98
E. 100

D

Source: Manhattan GMAT

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770
Gmat_mission wrote:
Sun Jan 23, 2022 1:53 am
Dave’s quiz scores are 60, 90, and 80. What is the score Dave would need on his next quiz to increase his overall average score to 82?

A. 92
B. 94
C. 96
D. 98
E. 100

D

Source: Manhattan GMAT
After the next quiz, Dave will have taken 4 quizzes.
If the average of those 4 quizzes is 82, then it must be the case that: (sum of all 4 quizzes)/4 = 82
Multiply both sides of the equation by 4 to get: sum of all 4 quizzes = 328

If we let x = the required score on the fourth test, we can write: 60 + 90 + 80 + x = 328
Solve to get: x = 98

Answer: D
Brent Hanneson - Creator of GMATPrepNow.com
Image