A college admissions officer predicts that 20 percent of the students

Question

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

Bunuel · Accepted Answer

(enrollment) = 0.8*(accepted)

x = 0.8*(accepted)

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

Answer: D.

AndySams · Answer

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

Answer choice D

Abhishek009 · Answer

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.

ANswer must be (D)

BrentGMATPrepNow · Answer

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

ScottTargetTestPrep · Answer

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

RastogiSarthak99 · Answer

Remember: 20% down + 25% up = 1. Clear Answer but found this shortcut better

totaltestprepNick · Answer

D https://www.youtube.com/watch?v=p-JD82UZgv4 Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience tutoring@totaltestprep.net

A college admissions officer predicts that 20 percent of the students

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