women to men

Algebra Level 3

If 2/3 of the number of women attending a certain dance is equal to 1/2 the number of men attending, what fraction of those attending are women

2/5 3/4 3/7 5/7

Katarina Rebecca Marie Schroer by Katarina Rebecca Marie S… , 22

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Let y y be the number of women at the dance and x x the number of men. Then we are given that

( 2 3 ) y = ( 1 2 ) x ⟹ y x = 3 4 (\frac{2}{3})y = (\frac{1}{2})x \Longrightarrow \dfrac{y}{x} = \dfrac{3}{4} .

Thus there are 3 3 women to every 4 4 men, in which case the fraction of those attending the dance is

3 3 + 4 = 3 7 \dfrac{3}{3 + 4} = \boxed{\dfrac{3}{7}} .

3 Helpful 0 Interesting 0 Brilliant 0 Confused

same wayyyyyyyyyyyyyyy

math man - 6 years, 9 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...