Proportions

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what21

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Jan 26, 2006
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I have been working on this problem for a week now, if in a small town 2/3 of the men are married to 3/4 of the woman, what is the ratio of men to women without using sample numbers. All I can come up with 17/12 of 1.4 men for every female, it just doesn't feel right help?
 
would it work to do something like 2/3 x = 3/4y?

just thinking "out loud."
 
(2/3)m=(3/4)w
6m=9w
2m=3w
m/w=3/2

(Nice thinking, bad variable choice.)
 
A really small town?
[m m m m m m] m m m : [w w w w w w] w w

...the unbracketed ones hang around the town's singles bar (owned by a married couple) :roll:

Edit: hmmm...looks like I make the ratio 9:8...
 
mr denis how do you do that????
i can't make sense of it?
I know i didnt post that but i am refreshing my brain also i have a placement test for college and i have not been in a math class for like 4 years......... funny how we forget eeh?
 
(2/3)m=(3/4)w ok
6m=9w Oops, bad LCD
8m=9w
m/w=8/9

As usual, Denis is right, if unorthodox.

He listed the 9 men and 8 women in town. He bracked the 6 maried men (of the 9) and the 6 maried women (of the 8).
 
He just made them up. He saw that with 9 men 2/3 of them married = 6. With 8 women he saw 3/4 of them married = 6. Married men = married women and the town population of 17 meets the requirements of the problem.
 
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