An arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 72 students?

15students per 1 teacher

9 student per 1 tutor.

8 tutors for 72 students

Step-by-step explanation:

From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students

✓ 4 teachers for every 60 students

4teacher =60students

Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.

✓3 tutors for every 27 students,

3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.

How many students does the academy have

per teacher?

15students per 1 teacher

Per tutor?

9 student per 1 tutor.

How many tutors does the academy need if it has 72 students?

Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,

9 student = 1 tutor.

72 students= X tutor

If we cross multiply we have

72=9X

X=8 tutors

Therefore, we need 8 tutors for 72 students

step-by-step :