Question

A large university accepts 40​% of the students who apply. Of the students the university​ accepts, 30​% actually enroll. If 10,000 students​ apply, how many actually​ enroll?

Answer 1

Hello!

In this question, we are trying to find how many students enroll in the university.

List of things we know:

• The university accepts 40% of students
• 30% of the accepted students enroll in the university
• 10,000 students applied

We will use the above information to help us solve our question.

Solve:

First, let us find out how many students got accepted to the university.

We know 10,000 students applied. We also know that the university accepts 40% of students. To find how many students were accepted, we will multiply 10,000 by 0.40 since 40% represented as a decimal is (0.40)

10,000 × 0.40 = 4,000

This means that 4,000 students were accepted to the university.

We now know that 30% of the accepted students enroll in the university, so we will multiply the number of our admitted students (4,000) by 0.30

4,000 × 0.30 = 1200

This means that 1200 students actually enroll in the university.

Answer:

1200 students