Question

An arts academy requires there to be 3 teachers for every 75 students and 6 tutors for every 72 students. How many tutors does the academy need if it has 120 students?

Answer 1

5 teachers and 10 tutors because we can make a proportion:

3/75=x/120, and when you cross multiply and solve for x you will get 4.8, but there can't be 4.8 teachers so we can say 5 teachers (round). Do the same for tutors: 6/72=x/120, x would equal 10.

Hope this helps!

Answer 2

You would have to set up a proportion. 6/72 =x/120 cross multiply 6*120= 720 and divide by 72 which would give you 10