Question

Lincoln Middle School has a student body of 5 ^5 students. Each class has approximately 5 ^2 students. How many classes does the school have?

Answer 1

There are 5^5 students on the school and 5^2 students per class.

So, think:

1 class ----------- 5^2 students

x classes ---------- 5^5 students

Multiply:

1 . 5^5 = x . 5^2

So,

5^5 = x.5^2

x = $\frac{5^5}{5^2}$

x = $5^{5-2}$

x = $5^3$

x = 125

There are 125 classes.

Answer 2

Total number of students 5^5 students

-------------------------------------- = ------------------------------ = 5^(5-2) classes, or

No. of students per class 5^2 students/class 5^3 classes: 125 classes