The arts academy needs 18 students per teacher, 10 students per tutor and 8 tutors for 80 students.
The number of students the academy needs per teacher is:
= Number of students / Number of teachers
= 90 / 5
= 18 students per teacher
The number of students the academy needs per tutor is:
= Number of students / Number of tutors
= 30 / 3
= 10 students per tutor
If each tutor takes 10 students, 80 students would need:
= Number of students / Number of students per tutor
= 80 / 10
= 8 tutors
In conclusion, a teacher can take 18 students, a tutor can take 10 students and 8 tutors can take 80 students.
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