A college admission 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?
Ans. 1.25X
GMAT Prep question - please explain
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- jayhawk2001
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20% will not attend => 80% will attend
We are asked to find y such that 80% of y = X
y = (X / 80 )* 100 = 1.25X
We are asked to find y such that 80% of y = X
y = (X / 80 )* 100 = 1.25X
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Assume the college wants 100 students to attend college
Let's assume it should offer admission to x students
Therefore x - 20x/100 = 100
80x/100 = 100
80x = 10,000
x = 10,000/80 = 1000/8 = 125
Thus it should offer admission to 1.25x students
Let's assume it should offer admission to x students
Therefore x - 20x/100 = 100
80x/100 = 100
80x = 10,000
x = 10,000/80 = 1000/8 = 125
Thus it should offer admission to 1.25x students