Question

At a local yoga studio, 80% of the members are women and 20% of the members are men. The average age of the women is 30 and the average age of the men is 40. What is the average age of all the members?

Answer 1

The average age of all the members at the yoga studio is 32 years.

Step-by-step explanation:

To find the average age of all the members at the yoga studio, we need to calculate the weighted average based on the proportions of men and women.

Given that 80% of the members are women and their average age is 30, and 20% of the members are men with an average age of 40, we can calculate the weighted average using the formula:

Weighted Average = (Proportion of Women * Average Age of Women) + (Proportion of Men * Average Age of Men)

Substituting the values, the weighted average age of all the members at the yoga studio is:

(0.80 * 30) + (0.20 * 40) = 24 + 8 = 32 years

Answer 2

Ok, so lets suppose there are 10 people there:

8 are women
2 are men

The average of the total is:


`((30)(8) + (40)(2))/(10) = (320)/(10) = 32`