A college admissions officer predicts that 20 percent

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

A college admissions officer predicts that 20 percent

by BTGModeratorVI » Fri May 29, 2020 6:42 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: GMAT prep

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Source: Beat The GMAT — Problem Solving | Fri May 29, 2020 6:42 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

Re: A college admissions officer predicts that 20 percent

by Brent@GMATPrepNow » Mon Jun 01, 2020 8:34 am

BTGModeratorVI wrote: ↑
Fri May 29, 2020 6:42 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: GMAT prep

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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quichopipe: Junior | Next Rank: 30 Posts; Posts: 12; Joined: Wed Apr 08, 2020 12:42 pm

Re: A college admissions officer predicts that 20 percent

by quichopipe » Wed Jun 03, 2020 1:53 pm

20% of students will not attend; therefore 80% of students will attend.

If A = total number of accepted students and x = total number of enrolled students, we can write
A*.8=x
Solve for A
A = \(\frac{x}{.8}\)
A = \(\frac{x}{\frac{5}{4}}\)

Rewrite to get rid of the .8 in the bottom
A = \(\frac{5}{4}x\) = 1.25x

Answer choice D.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: A college admissions officer predicts that 20 percent

by Scott@TargetTestPrep » Fri Jun 05, 2020 10:57 am

BTGModeratorVI wrote: ↑
Fri May 29, 2020 6:42 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: GMAT prep

Solution:

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

Answer: D

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