Question

An arts academy requires there to be 15 students per teacher and for every 2 teachers, there should be 1 tutor. How many students does the academy have per tutor? How many tutors does the academy need if it has 300 students?

a) 15 students per tutor, 10 tutors
b) 30 students per tutor, 5 tutors
c) 45 students per tutor, 7 tutors
d) 60 students per tutor, 5 tutors

Answer 1

To find the number of students per tutor, divide the total number of students by the number of teachers, then divide the number of teachers by 2 to find the number of tutors. If the academy has 300 students, it would need 10 tutors.

Step-by-step explanation:

To find how many students the academy has per tutor, we first need to calculate the number of students per teacher. The academy requires 15 students per teacher, so if we divide the total number of students by 15, we can find the number of teachers needed. Then, since the ratio is 2 teachers to 1 tutor, we can divide the number of teachers by 2 to find the number of tutors needed.

If the academy has 300 students, we divide 300 by 15 to get 20 teachers needed. And since we divide the number of teachers by 2 to get the number of tutors, we have 20 divided by 2, which equals 10 tutors needed.

So, the correct answer is a) 15 students per tutor, 10 tutors.