Question

If there are 4500 students at Capital High School and 250 teachers. What is the teacher to student ratio?

Answer 1

Ratio of Teachers to Students is `1:18`

Explanation:

As explained below:

Students: `4500`

Teachers: `250`

Let the ratio of teachers to students be represented as [T:S]

[T:S] = `250:4500`

Simply further and we get:

[T:S] = 1:18

Hence Ratio of Teachers to Students is `1:18`

Answer 2

The teacher:student ratio is `1:18`.

Explanation:

We want to find the teacher to student ratio and know that there are `250` teachers and `4500` students.

A ratio can also be written as a fraction, so it can be written as:
`250:4500` or `250/4500`.

To simplify the fraction, we divide both numerator and denominator by their GCF, or greatest common factor. Their greatest common factor is `250`, so divide by that:
`250/4500 color(blue)(-: 250/250)`

`= 1/18`

As a ratio, this is written as `1:18`.

Therefore, the teacher:student ratio is `1:18`.

Hope this helps!