Challenge 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?

Question

  
__students would actually enroll. ​(Type a whole​ number.)

Answer 1

To find out how many students actually enroll, we can follow these steps:

1. Calculate the number of students accepted by the university.

   The university accepts 70% of the applicants. Thus, if 20,000 students apply:

   \[ \text{Number of accepted students} = 20,000 \times 0.70 = 14,000 \]

2. Calculate the number of students that actually enroll.

   Of the accepted students, 25% actually enroll:

   \[ \text{Number of enrolled students} = 14,000 \times 0.25 = 3,500 \]

Therefore, the number of students that would actually enroll is 3,500.