This is how I solved it. x = number of men, 120 - x = number of women.

since 46 is not in the above group, the above group must equal 120-46 or 74.

So my equation is, 3/5(x) + 2/3(120-x) = 74

3/5(x)+ 80 - 2/3(x) = 74

-1/15(x) +80 = 74

6 = 1/15(x)

x = 90

120-x = 30

Is that the right answer and did I solve it the correct way? Also what type of word problem would this be considered as?

thanks