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A college admissions officer predicts that 20 percent

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A college admissions officer predicts that 20 percent

by Brent@GMATPrepNow » Fri Mar 13, 2020 9:49 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 planned enrollment of x students?

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

Answer: D
Source: GMATPrep Test
Brent Hanneson - Creator of GMATPrepNow.com
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Re: A college admissions officer predicts that 20 percent

by Brent@GMATPrepNow » Sun Mar 15, 2020 4:43 am
Brent@GMATPrepNow wrote: ↑
Fri Mar 13, 2020 9:49 am
 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 planned enrollment of x students?

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

Answer: D
Source: GMATPrep Test
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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