At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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 ?

Sagot :

[tex]\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[/tex]