Final answer:
To calculate the students per teacher, divide the number of students by the number of teachers. To calculate the students per tutor, divide the number of students by the number of tutors. To find out how many tutors are needed for a certain number of students, divide the number of students by the students per tutor.
Step-by-step explanation:
To calculate the students per teacher, we divide the number of students by the number of teachers. So, for the arts academy, we have 85 students and 5 teachers, which gives us 85/5 = 17 students per teacher.
To calculate the students per tutor, we divide the number of students by the number of tutors. So, for the arts academy, we have 60 students and 6 tutors, which gives us 60/6 = 10 students per tutor.
To find out how many tutors are needed for 120 students, we divide the number of students by the students per tutor. So, for 120 students and 10 students per tutor, we have 120/10 = 12 tutors needed.