Answer:
[tex]81\:\text{men}[/tex]
Step-by-step explanation:
Since there are 3 men for every 5 women in the company, for each women there will be [tex]\frac{3}{5}[/tex] men.
Therefore, we can write the following system of equations:
[tex]\begin{cases}\frac{3}{5}w=m,\\w+m=216\end{cases}[/tex]
Solving, we get:
[tex]w+\frac{3}{5}w=216,\\\frac{8}{5}w=216,\\w=216\cdot \frac{5}{8}=135\:\text{women}[/tex]
Therefore, there are [tex]216-135=\boxed{81\:\text{men}}[/tex] in the company.
