Question

Challenge An arts academy requires there to be 6 teachers for

every 150 students and 4 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 72 students?

Answer 1

To find out how many students the academy has per teacher and per tutor, you can use the information provided:

For teachers, there are 6 teachers for every 150 students. To find the number of students per teacher, divide the number of students by the number of teachers:

Students per Teacher = Total Students / Number of Teachers

Students per Teacher = 150 students / 6 teachers

Students per Teacher = 25 students per teacher

So, there are 25 students per teacher at the academy.

For tutors, there are 4 tutors for every 36 students. To find the number of students per tutor, divide the number of students by the number of tutors:

Students per Tutor = Total Students / Number of Tutors

Students per Tutor = 36 students / 4 tutors

Students per Tutor = 9 students per tutor

So, there are 9 students per tutor at the academy.

Now, let's calculate how many tutors the academy needs if it has 72 students:

Tutors Needed = Total Students / Students per Tutor

Tutors Needed = 72 students / 9 students per tutor

Tutors Needed = 8 tutors

The academy would need 8 tutors if it has 72 students.

Answer 2

• 25 students per teacher
• 9 students per tutor
• 8 tutors

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An arts academy requires 6 teachers for every 150 students. Show this as a ratio and simplify:

• 6: 150 =
• 1 : 25

It means 25 students per teacher.

An arts academy requires 4 tutors for every 36 students.

Show this as a ratio and simplify:

• 4 : 36 =
• 1 : 9

It means 9 students per tutor.

If there are 72 students, the academy needs:

• 72*(1/9) = 8 tutors