25.00 timed, if 2/3 of the number of women attending a centain dance is equal to 1/2 the number of men attending, what fraction of those attending are women?

My solve: 2/3W = 1/2 M 2/3+1/2= 7/6 2/3 ------ = 4/7 7/6

But Greg’s solve showing 3/7

How?

When there are two unknown variables present, you have to write one variable in terms of other to solve the question.

Given:

\frac{W}{W+M}= \text{ fraction of those attending are women}

If you assume values it is a lot faster…

Let women w=9

Then 2÷3x9=m÷2; m comes out to be 12

Now total women attending is w, which means 9,

So the fraction of w/total = 9/(9+12) which gives 3/7