66 2/3 percent of x = WomenOriginally Posted byEkdog

So, (As long as all non-women are men),

100% -(66 2/3)5% = (33 1/3)% of x are Men.

Then,

(33 1/3)% of x = 200

So,

(0.3333333...)x = 200

x = 200 /(0.33333...)

x = 600 members ---------------answer.

Check,

If 200 of the 600 members are Men, then (assuming again that all non-men are women) the women must be 600-200 = 400 in numbers.

Is 400/600 equal to 66 2/3 percent?

What is 66 2/3 percent?

Make that improper fraction into proper fraction.

66 2/3

= (66*3 +2)/3

= (198 +2)/3

= 200/3

So, 66 2/3 percent is (200/3)/100 = 2/3

Then is 400/600 = 22 2/3 percent = 2/3?

400/600

= 4/6

= 2/3 ---------yes, so, OK.