A large university accepts60 % of the students who apply. Of the students the university accepts, 35% actually enroll. If 30,000 students apply, how many actually enroll?
Number accepte = .6(30000) - ..
number who actually show up = (.35)(.6)(30000) = ....
To find out how many students actually enroll, we first need to determine the number of students who are accepted by the university.
Step 1: Find the number of students the university accepts.
If 60% of students who apply are accepted, we can calculate that by multiplying the total number of students who apply (30,000) by the acceptance rate (60% or 0.60):
Accepted students = 30,000 x 0.60 = 18,000
So, the university accepts 18,000 students.
Step 2: Calculate the number of accepted students who actually enroll.
If 35% of accepted students enroll, we can find that by multiplying the number of accepted students (18,000) by the enrollment rate (35% or 0.35):
Enrolled students = 18,000 x 0.35 = 6,300
Therefore, 6,300 students will actually enroll in the university.