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# A college admissions officer predicts that 20 percent of the students

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Joined: 05 Mar 2017
Posts: 185
Concentration: Operations, General Management
A college admissions officer predicts that 20 percent of the students  [#permalink]

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09 Aug 2018, 23:22
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Difficulty:

25% (medium)

Question Stats:

73% (01:29) correct 27% (01:10) wrong based on 257 sessions

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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
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Joined: 02 Sep 2009
Posts: 65062
Re: A college admissions officer predicts that 20 percent of the students  [#permalink]

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09 Aug 2018, 23:33
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3
siddreal 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

(enrollment) = 0.8*(accepted)

x = 0.8*(accepted)

(accepted) = x/0.8 = x*10/8 = 1.25x.

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Re: A college admissions officer predicts that 20 percent of the students  [#permalink]

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11 Oct 2019, 04:25
2
Picking numbers would be a good way to solve this problem:

Let's say the number of students desired 'x' is equal to 100
20% of the students who are accepted will not attend. So only 80% of the students who are accepted will attend.

So we can form the question, 100 is 80% of what number:

8y/10=100
8y=1000
y=125
This tells us that 125 students need to be accepted so that there are 100 students enrolled

125=1.25(100)
Since we know x=100 then
1.25x=125

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Re: A college admissions officer predicts that 20 percent of the students  [#permalink]

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11 Oct 2019, 06:58
1
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

If 80 students attends the college then 100 students are enrolled.
If 1 students attends the college then $$\frac{100}{80}$$students are enrolled.
If x students attends the college then $$\frac{100*x}{80} = 1.25x$$students are enrolled.

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Re: A college admissions officer predicts that 20 percent of the students  [#permalink]

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31 Jan 2020, 06:53
Top Contributor
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

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

Cheers,
Brent
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Re: A college admissions officer predicts that 20 percent of the students  [#permalink]

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01 Mar 2020, 12:35
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

We can let y = the number of students that should be accepted to achieve a planned enrollment of x students. We predict that 80% of the students who are accepted will attend the college.Thus, we have:

0.8y = x

y = x/0.8 = 10x/8 = 1.25x

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Target Test Prep Representative
Status: Founder & CEO
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Location: United States (CA)
Re: A college admissions officer predicts that 20 percent of the students  [#permalink]

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04 Mar 2020, 05:12
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

We can let y = the number of students that should be accepted to achieve a planned enrollment of x students. We predict that 80% of the students who are accepted will attend the college.Thus, we have:

0.8y = x

y = x/0.8 = 10x/8 = 1.25x

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
225 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Re: A college admissions officer predicts that 20 percent of the students   [#permalink] 04 Mar 2020, 05:12