A college admissions officer predicts that 20 percent

[BTGModeratorVI]

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

[Brent@GMATPrepNow]

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

[quichopipe]

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.

[Scott@TargetTestPrep]

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