An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 63 students?

a) 18 students per teacher

b) 9 students per tutor

c) 7 tutors

Step-by-step explanation:

An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students.

a) How many students does the academy have per teacher?

6 teachers = 108 students

1 teacher = x

Cross Multiply.

6x = 108

x = 108/6

x = 18 students per teacher

b) Per tutor?

5 tutor = 45 students

1 tutor = x

Cross Multiply

5x = 45

x = 45/5

x = 9 students

= 9 students per tutor

c) How many tutors does the academy need if it has 63 students?

45 students = 5 tutors

63 students = x

Cross Multiply

45x = 63 × 5

x = 63 × 5/45

x = 7 tutors

1010: 3030

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