Bunuel wrote:

Of the applicants passes a certain test, 15 applied to both college X and Y. If 20 % of the applicants who applied college X and 25% of the applicants who applied college Y applied both college X and Y, how many applicants applied only college X or college Y?

(A) 135

(B) 120

(C) 115

(D) 105

(E) 90

Question means the following:

15 people applied

to both college X and Y, these 15 people represent 20% of all applicants who applied to X and 25% of all applicants who applied to Y.

\(0.2*x=15\) --> \(x=75\) --> # of people who applied

only to X is: \(75-15=60\);

\(0.25*y=15\) --> \(y=60\) --> # of people who applied

only to Y is: \(60-15=45\);

# of people who applied

only to X OR Y is: \(60+45=105\).

Answer: D.

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