ANSWER
Students = 110
Teachers = 22
Step-by-step explanation
Let the number of students be s.
Let the number of teachers be t.
There are 5 times as many students as teachers. This means that:

The sum of students and teachers is 132. This means that:

We can solve this by substitution. To do this, substitute the first equation into the second.
That is:

Recall that:

Therefore, there are 110 students and 22 teachers.