Society

A senior citizens' association has a total of three hobby clubs - chess, hiking, and cooking. Chess - number of members 15, cooking 45, hiking: the share of club members from all clubs: 60%. Number of members: women 84.
Each member of the association attends exactly one hobby club. What percentage of all members of the senior citizens' association are men?

Correct answer:

p =  44 %

Step-by-step explanation:

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

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