Question

Set up a proportion and solve the following!

At Piedmont High School, 3 out of every 8 students are athletes. If there are 1280 students at the school, how many are athletes?

Answer 1

480 students

Explanation:

We can set up a proportion to find out how many students at Piedmont High School are athletes.

Let x equal the number of students at Piedmont High School who are athletes.

We know that there are 1280 students at the school, and that 3 out of every 8 students are athletes.

This can be written as a proportion:

`\sf (x)/(1280) = (3)/(8)`

Cross-multiplying, we get:

`\sf 8x = 3 \cdot 1280`

Simplifying the right side, we get:

`\sf 8x = 3840`

Dividing both sides by 8, we get:

`\sf (8x )/(8) = (3840)/(8)`

`\sf x = 480`

Therefore, there are 480 students at Piedmont High School who are athletes.