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

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AAPL: Moderator; Posts: 2749; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Sat Mar 19, 2022 6:07 am

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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

Source: Beat The GMAT — Problem Solving | Sat Mar 19, 2022 6:07 am

regor60: Master | Next Rank: 500 Posts; Posts: 416; Joined: Thu Oct 15, 2009 11:52 am; Thanked: 27 times

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

by regor60 » Sun Mar 20, 2022 5:49 am

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

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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

by Brent@GMATPrepNow » Mon Mar 21, 2022 6:48 am

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

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