Question

An arts academy aims to have 5 teachers for every 75 students and 4 tutors for every 36 students. How many students does the academy have per teacher and per tutor?

A) 15 students per teacher, 9 students per tutor
B) 20 students per teacher, 12 students per tutor
C) 25 students per teacher, 18 students per tutor
D) 30 students per teacher, 15 students per tutor

Answer 1

The arts academy has 15 students per teacher and 9 students per tutor.

Step-by-step explanation:

To find the number of students per teacher, divide the total number of students by the number of teachers. In this case, the academy aims to have 5 teachers for every 75 students, so the number of students per teacher is 75/5 = 15 students per teacher.

To find the number of students per tutor, divide the total number of students by the number of tutors. In this case, the academy aims to have 4 tutors for every 36 students, so the number of students per tutor is 36/4 = 9 students per tutor.