Question

Challenge An arts academy requires there to be 4 teachers for every 72 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 81 students?

Answer 1

a) 18 students per teacher

b) 9 tutors

Step-by-step explanation

We have that the Arts Academy:

=> requires 4 teachers for every 72 students

=> 3 tutors for every 27 students

a) To find how many students are need per teacher, we have to divide the number of students by the number of teachers.

That is:

72 / 4 = 18 students per teacher

b) To find the number of tutors needed by the Academy, we have that:

3 tutors = 27 students

x tutors = 81 students

Cross multiply:

x * 27 = 3 * 81

=> x = 243 / 27

x = 9

Therefore, 9 tutors are needed for 81 students.