Question

the ratio of student athletes to non - student athletes employed at a company is 4 to 5. if there are 84 student athletes at the school, what is the total number of students at the school?

Explanation:

Step1: Define the ratio parts

Let the number of student athletes be \(4x\) and non - student athletes be \(5x\). We know that the number of student athletes is 84, so \(4x = 84\).

Step2: Solve for \(x\)

To find \(x\), we divide both sides of the equation \(4x=84\) by 4. So \(x=\frac{84}{4}=21\).

Step3: Find total number of students

The total number of students is the sum of student athletes and non - student athletes, which is \(4x + 5x=9x\). Substitute \(x = 21\) into \(9x\), we get \(9\times21 = 189\).

Answer:

189