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Inessa05 [86]
3 years ago
10

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

s the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 63 students​?
Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Answer:

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

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