Question

A large university accepts 60​% of the students who apply. Of the students the university​ accepts, 40​% actually enroll. If 30,000 students​ apply, how many actually​ enroll?
Please answer quickly!

Answer 1

Answer:

7,200

Step-by-step explanation:

Let's start by calculating how many students the university accepts. The problem says they accept 60% of the students. 60% as a decimal is 0.6. To calculate 60% of something, you multiply .60 by whatever quantity. In this case, it would be the students.

Number of accepted students = $.6 * 30000$ = 18,000

The university accepts 18,000 students.

Now, the next problem is that of those accepted students, we need to find out how many actually enroll. The problem says they accept 40% of the accepted students. Applying the same principle,

Number of enrolled students = $.4 * 18000$ = 7,200

The number of students that actually enroll is 7,200.

Alternatively, $.6 * 30000 * .4$ would give you the same result.

Combining the pieces together, we are asking for 60% of 30,000. Then getting 40% of that 60%.