Question

If there are 36 performers in a dance recital. The ratio of men to women is 2:7. How many men are in the dance recital ?

Answer 1

$\frac{m}{w}= \frac{2}{7} \\ \\ \frac{m}{2}=\frac{w}{7}=k \\ \\ m=2k\\ w=7k \\ \\ m+w=36 \\ 2k+7k=36 \\ 9k=36 \\ \\ \boxed{k=\frac{36}{9}=4} \\ \\ m=2*4=8 \ men \\ \\ w=7*4=28 \ women$