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

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Complete Question

An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.

How many students does the academy have per teacher?Per tutor?

How many tutors does the academy need if it has 80 students

a) 18 students per teacher

b) 10 students per tutor

c) 8 tutors

Step-by-step explanation:

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

5 teachers for every 90 students

Hence,

5 teachers = 90 students

1 teacher = x students

Cross Multiply

5 × x = 1 × 90

5x= 90

x = 90/5

x = 18 students

We have 18 students per teacher

b) How many students Per tutor?

3 tutors = 30 students.

1 tutor = x students

3 × x = 30 × 1

x = 30/3

x = 10 students

We have 10 students per tutor

c) How many tutors does the academy need if it has 80 students

3 tutors = 30 students.

30 students = 3 tutors

80 students = x tutors

Cross Multiply

30 × x = 80 × 3

x = 80 × 3/30

x = 8 tutors

The school needs 8 tutors for 80 students.

answer: howdy

step-by-step explanation:

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)