at a large state university, 60% of the students who apply are accepted. Of those who are accepted, 40% actually enroll. If 20,000 students apply, how many actually enroll?
.4*20000 =8000
It says the answer is 4800 but I don't know how they arrived at that answer
20,000 * 0.6 = 12,000 are accepted
12,000 * 0.4 = 4800 actually enroll
Accept = .6(20000) = 12000
40% enrolled
12000(.4) = 4800
This is difficult but it really comes down to:
40% enrolled
12000 (.4) = 4800
12000 are accepted
To find out how many students actually enroll, we need to follow a two-step process based on the given information.
Step 1: Calculate the number of students accepted.
The statement mentions that 60% of the students who apply are accepted. To find the number of accepted students, multiply the total number of students who applied by the acceptance rate percentage.
Number of students accepted = 60% of 20,000 students
= (60/100) * 20,000
= 0.60 * 20,000
= 12,000 students
Thus, 12,000 students are accepted.
Step 2: Calculate the number of students who actually enroll.
According to the given information, 40% of the accepted students actually enroll. To find the number of enrollments, we multiply the number of accepted students by the enrollment rate percentage.
Number of students who enroll = 40% of 12,000 students
= (40/100) * 12,000
= 0.40 * 12,000
= 4,800 students
So, 4,800 students actually enroll in the university.