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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
A college admissions officer predicts that 20 percent of the students
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26 Jun 2022, 23:06
26 Jun 2022, 23:06
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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
A. 1.05x
B. 1.1x
C. 1.2x
D. 1.25x
E. 1.8x
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A college admissions officer predicts that 20 percent of the students
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27 Jun 2022, 06:18
27 Jun 2022, 06:18
1
GeminiHeat 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 enrollment of x students?
A. 1.05x
B. 1.1x
C. 1.2x
D. 1.25x
E. 1.8x
A. 1.05x
B. 1.1x
C. 1.2x
D. 1.25x
E. 1.8x
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
gmatclubot
Re: A college admissions officer predicts that 20 percent of the students [#permalink]
27 Jun 2022, 06:18
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