Question

Hello, I'm unsure about the process of this equation, please help me.

Answer 1

144 employees

Explanation:

• The ratio of men to women = 3:5

,

• The number of men in the company = 54.

Let the total number of employees = x.

The proportion of men in the company will be:

`(3)/(3+5)=(3)/(8)`

Since there are 54 men in the company, we can then say that:

`\begin{gathered} (3)/(8)\text{ of x}=54 \\ \implies(3)/(8)x=54 \end{gathered}`

Multiply both sides by 8/3 to solve for x.

`\begin{gathered} (8)/(3)*(3)/(8)x=(8)/(3)*54 \\ x=144 \end{gathered}`

The total number of employees is 144.