A college admissions officer predicts that 20% of the

[sharmin.karim]

A college admissions officer predicts that 20% 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

[agha79]

CAn you please post OA with your posts.

IMO answer is "D" (1.25x)

[victorgsiu]

.2A = Will not attend
.8A = Will attend

Question is how many need to be accepted?

.8A = x
A = x/.8
A = 1.25x

Hope that helps.

A college admissions officer predicts that 20% 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

[austin.d.anthony]

what level question is this?

[esledge]

what level question is this?

It's difficult to say--I'd call the math 500-550 level, but it's possible that it ranks as a harder question if many test takers fall for trap answers. (I see 1.2x as a potential trap. If 0.8x had been a choice, it would have offered yet another trap, potentially making the question even harder.)

This question is also a VICs (Variables in answer Choices) question, which tends to be trickier than the equivalent question with only numbers.

So an alternate solution is to use numbers, making the question into an easier one.

If 100 students are accepted, 80 will attend. So let's make the planned enrollment x = 80. Therefore, the college must admit 100 students, so the answer that equals 100 when we plug in 80 for x is correct.

A. 1.05x = (1.05)(80) = 84
B. 1.1x = 88
C. 1.2x = 96
D. 1.25x = 100 ---> CORRECT.
E. 1.8x = 144