A college admissions officer predicts that 20 of the students who are accepted willl not attend the college. According

This topic has expert replies
Moderator
Posts: 2064
Joined: 29 Oct 2017
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

GMAT Prep

A college admissions officer predicts that 20 percent of the students who are accepted will not attend the college. According to this prediction, how many students should be accepted to achieve a panned enrollment of x students?

A. 1.05x
B. 1.1x
C. 1.2x
D. 1.25x
E. 1.8x

OA D

Master | Next Rank: 500 Posts
Posts: 406
Joined: 15 Oct 2009
Thanked: 27 times
If 20% of those accepted don't enroll, then 100%-20% = 80% of those accepted actually enroll.

Setting A = accepted students and X = enrolled students, the above is:

(80/100)* A = X

With the goal of enrolling X students, the number of students needing to be accepted is



A= X*(100/80) = X * (5/4)

= 1.25X, D

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16086
Joined: 08 Dec 2008
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1267 members
GMAT Score:770
AAPL wrote:
Sat Mar 19, 2022 6:07 am
GMAT Prep

A college admissions officer predicts that 20 percent of the students who are accepted will not attend the college. According to this prediction, how many students should be accepted to achieve a panned enrollment of x students?

A. 1.05x
B. 1.1x
C. 1.2x
D. 1.25x
E. 1.8x

OA D
20 percent of the students who are accepted will not attend the college
In other words, 80 percent of the students who are accepted WILL ATTEND the college.
In other words, 4/5 of the students who are accepted WILL ATTEND the college.
We can write (4/5)(# accepted) = # who attend

Let x = # of students who attend.
We get the equation: (4/5)(# accepted) = x
Multiply both sides by 5/4 to get: # accepted = (5/4)x
Rewrite as: # accepted = 1.25x

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image