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by singhmaharaj » Tue May 06, 2014 2:37 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 enrolment of x students?

A) 1.05x

B) 1.1 x

C) 1.2 x

D) 1.25 x

E) 1.8 x
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Source: — Problem Solving |

by Brent@GMATPrepNow » Tue May 06, 2014 3:15 am
singhmaharaj wrote: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 enrolment of x students?

A) 1.05x

B) 1.1 x

C) 1.2 x

D) 1.25 x

E) 1.8 x
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: [spoiler]# accepted = 1.25x[/spoiler]

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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