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At an elementary school, 70% of the faculty members are

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At an elementary school, 70% of the faculty members are [#permalink] New post 19 Apr 2007, 18:07
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At an elementary school, 70% of the faculty members are women, and 60% of the faculty members are married. If 2/3 of the men are single, what fraction of the women are married?
a) 5/7
b) 7/10
c) 1/3
d) 7/30
e) 5/70

I am kinda stumped by this one. Any help would be greatly appreciated.

RASCH :)
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 [#permalink] New post 19 Apr 2007, 18:30
let the total number of faculty members = 100
70 = women
30 = men
2/3 of men = 20 men are single. so 10 men are married.
60 = total married
hence married women = 50
fraction of women married = 50/70 = 5/7

answer is 'A'
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 [#permalink] New post 19 Apr 2007, 18:44
Assume number of people in school = 100

# of women = 70
# of men = 30

# of married people = 60 = # of married men + # of married women.

# of married men = 1/3(30) = 10
So, # of married women = 50

hence, % of married women = 5/7
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 [#permalink] New post 19 Apr 2007, 19:03
ywilfred wrote:
Assume number of people in school = 100

# of women = 70
# of men = 30

# of married people = 60 = # of married men + # of married women.

# of married men = 1/3(30) = 10
So, # of married women = 50

hence, % of married women = 5/7


I agree with ywilfred 5/7. I initially did not read the question well. I thot it asked for fraction of faculty members that were women and married. Easy question to fail if you do not understand what is being asked of you! :oops:
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 [#permalink] New post 19 Apr 2007, 19:04
ninomoi wrote:
ywilfred wrote:
Assume number of people in school = 100

# of women = 70
# of men = 30

# of married people = 60 = # of married men + # of married women.

# of married men = 1/3(30) = 10
So, # of married women = 50

hence, % of married women = 5/7


I agree with ywilfred 5/7. I initially did not read the question well. I thot it asked for fraction of faculty members that were women and married. Easy question to fail if you do not understand what is being asked of you! :oops:


I agree. All of you pointed out what I just missed. Thanks for your help.

RASCH :)
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Re: PS: Percentage Question [#permalink] New post 19 Apr 2007, 19:17
Rasch wrote:
At an elementary school, 70% of the faculty members are women, and 60% of the faculty members are married. If 2/3 of the men are single, what fraction of the women are married?
a) 5/7
b) 7/10
c) 1/3
d) 7/30
e) 5/70

I am kinda stumped by this one. Any help would be greatly appreciated.

RASCH :)


Another A. It has been explained clearly by many people
Re: PS: Percentage Question   [#permalink] 19 Apr 2007, 19:17
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