Society

A senior citizens' association has a total of three hobby clubs: chess, hiking, and cooking. The chess club has 15 members, the cooking club has 45 members, and the hiking club accounts for 60% of all club members. The total number of female members across the association is 84.
Each member of the association attends exactly one hobby club. What percentage of all members of the senior citizens' association are men?

Final Answer:

p =  44 %

Step-by-step explanation:

$$\begin{gathered} t=0.60\cdot (15+45+t) \\ 0.4t=36 \\ t=\frac{36}{0.4}=90 \\ t=90 \\ s=15+45+t=15+45+90=150 \\ p=100\cdot \frac{s-84}{s}=100\cdot \frac{150-84}{150}=44\% \end{gathered}$$

Try another example