Question

1. a large university accepts 70% of the students who apply. of the students the university accepts, 25% actually enroll. if 20,000 students apply, how many actually enroll?

a 14,000 students
b 5,000 students
c 3,500 students
d 1,750 students

Explanation:

Step1: Calculate the number of accepted students

The number of students who apply is \(n = 20000\). The acceptance rate is \(70\%=0.7\).
The number of accepted students \(A\) is \(A = 20000\times0.7\)

$$A=14000$$

Step2: Calculate the number of enrolled students

The enrollment rate among accepted students is \(25\% = 0.25\).
The number of enrolled students \(E\) is \(E=A\times0.25\). Since \(A = 14000\), then \(E=14000\times0.25\)

$$E = 3500$$

Answer:

C. 3,500 students