SOLUTION: Three-fifths of the men in chemistry class have beards and two-thirds of the women have long hair. If there are 120 men in the class and 46 are not in the above groups, how many me

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Question 196180This question is from textbook
: Three-fifths of the men in chemistry class have beards and two-thirds of the women have long hair. If there are 120 men in the class and 46 are not in the above groups, how many men and how many women are there in the class?
I have the answer but I can't figure out how to get it. I've done it a zillion different ways and get nothing close.This question is from textbook

Answer by josmiceli(9680) About Me  (Show Source):
You can put this solution on YOUR website!
If there are 120 men in the class, and 3/5 have beards,
then .6%2A120+=+72 have beards.
The remaining 120+-+72+=+48 do not have beards
There are already 48 who are not in one of the bearded
or long-haired groups, so 46 is too low. Was there a
misprint or copy error?