At a health club, 40% of the members are women and 60% of the members are men. If the average age of the men is 51 years and the average age of the women is 55 years, what is the average age (in years) of all the members?
52.6
Let the total number of members be 100, so there are 60 men and 40 women.
The total age of men is \(60 \times 51 = 3060\) years, and the total age of women is \(40 \times 55 = 2200\) years.
The combined total age is \(3060 + 2200 = 5260\) years.
The average age of all members is \(\frac{5260}{100} = 52.6\) years.
Hence, the average age of all the members is 52.6 years.
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