Question

An arts academy requires there to be five teachers for every 95 students and six tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors doesthe Academy need if it has 110 students

Answer 1

There are 19 students per teacher and there will need to be 11 tutors

Explanation:

To answer this question the unit rate for each is needed

this is done by doing

95(students)/5(teachers)=19

which means for every 19 students there is one teacher

For the tutors the unit rate would be

60(students)/6(tutors)=10

Which means for every 10 students there is 1 tutor

That is shown as 10/1

If we have 110 students, then we would have to divide it by 10 because there are 10 students per tutor.

By doing 110/10 you get 11

So there are 11 tutors needed for 110 students