An arts academy requires there to be 3 teachers for every 57 students and 5 tutors for every 55 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 99 students?

9 tutors would be needed

Step-by-step explanation

5/55=.0909

.0909×99=9

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

it would be 6xy and -16xy.