Question

Challenge An arts academy requires there to be 5 teachers for every 120 students and 3 tutors for every 36 students.

How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has
120 students?
The academy has students per teacher.

Answer 1

Answers:

• 24 students per teacher
• 12 students per tutor
• There needs to be 10 tutors if there are 120 students

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Step-by-step explanation:

Part 1

There are 5 teachers for every 120 students.

Think of it like this ratio

5 teachers: 120 students

Then divide both sides by 5 to turn the "5 teachers" into "1 teacher".

5 teachers: 120 students

5/5 teachers: 120/5 students

1 teacher: 24 students

There are 24 students per teacher

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Part 2

There are 3 tutors for every 36 students

3 tutors: 36 students

3/3 tutors: 36/3 students

1 tutor: 12 students

There are 12 students per tutor

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Part 3

The jump from 12 to 120 is "times 10"

We'll multiply 10 on both sides of the ratio we found in the previous part.

1 tutor: 12 students

10*(1 tutor) : 10*(12 students)

10 tutors : 120 students