Bunuel
Of the 720 students at a certain university, 25 percent are seniors. If x seniors were to graduate early and leave the university and no additional students entered or left the university, what value of x would reduce the number of seniors at the university to 20 percent?
(A) 30
(B) 36
(C) 42
(D) 45
(E) 48
Are You Up For the Challenge: 700 Level QuestionsGiven:
1. Of the 720 students at a certain university, 25 percent are seniors.
2. x seniors were to graduate early and leave the university and no additional students entered or left the university
Asked: What value of x would reduce the number of seniors at the university to 20 percent?
1. Of the 720 students at a certain university, 25 percent are seniors.
Total students = 720
Seniors = 25% *720 = 180
2. x seniors were to graduate early and leave the university and no additional students entered or left the university
What value of x would reduce the number of seniors at the university to 20 percent?
Total students left = 720 - x
Seniors left = 180-x
Percentage of seniors = .2(720 - x) = 180 -x
144 - .2x = 180 - x
.8x = 36
x = 36/.8 = 360/8 = 45
IMO D