# Member Average Age

#### harpazo

##### Pure Mathematics
Banned
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?

Let A = average age of all members

A = (0.80)(30) + (0.20)(40)

Correct?

#### MarkFL

##### La Villa Strangiato
Staff member
Moderator
Math Helper
What you want is a weighted average here:

$$\displaystyle \overline{A}=\frac{.8N(30)+.2N(40)}{N}=.8(30)+.2(40)\quad\checkmark$$

harpazo

#### harpazo

##### Pure Mathematics
Banned
Good to know I got it right.

Staff member