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Complete Question
An arts academy requires there to be 3 teachers for every 57 students and 4 tutors for every 44 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 121 students?
Answer:
a)19 students per teacher
b)11 students per tutor
c)11 tutors if they have 121 students
Explanation:
An arts academy requires there to be 3 teachers for every 57 students and 4 tutors for every 44 students.
a) How many students does the academy have per teacher?
3 teachers for every 57 students
3 teachers = 57 students
1 teacher = x
Cross Multiply
3x = 1 × 57 students
x = 57 students/3
x = 19 students
Hence, we have 19 students per teacher
b) How many students Per tutor?
4 tutors for every 44 students.
4 tutors = 44 students
1 tutor = x students
Cross Multiply
4x = 44 × 1
x = 44/4
x = 11 students.
This means that we have 11 students per tutor
c) How many tutors does the academy need if it has 121 students?
4 tutors for every 44 students.
44 students = 4 tutors
121 students = x
Cross Multiply
x = 121 × 4/44
x = 11 tutors
Hence, the school would need 11 tutors if they have 121 students