Answer:
The academy requires 10 tutors if it has 120 students.
Explanation:
We are given the following information in the question:
Teachers required for every 75 students = 3
Tutors required for every 72 students = 6
We have to find how many tutors does the academy need if it has 120 students.
We could do this with the concept of ratio.
Let x be the number of tutors required for 120 students.
The solving is shown below:
![\displaystyle(6)/(72) = (x)/(120)\\\\\Rightarrow x = (120* 6)/(72)\\\\\Rightarrow x = 10](https://img.qammunity.org/2019/formulas/mathematics/middle-school/nk5ltv15xjvxrlg6h26y1af4k8yxnn9nfb.png)
Thus, the academy requires 10 tutors if it has 120 students.