Election : GMAT Problem Solving (PS)
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Election

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04 Mar 2011, 07:22
In an election between two canidates - Lange and Sobel - 70% of the voters voted for Sobel. Of the elections voters, 60% were male. If 35% of the female voters voted for Lange, what percentage of the male voters voted for Sobel?

14
16
26
44
65
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04 Mar 2011, 07:39
70% voted for Sobel. 30% voted for Lange.
60% male - 40% female

35% of 40% = 40*35/100 = 14% of female voted for Lange. That means; 40-14=26% female voters voted for Sobel.

Total voters voted for Sobel = 70%
26% were female. Then 44% were male.

44% male voted for sobel. Total percentage of voters for Sobel = 60%

44% of 60% = (44/60)*100 $$\approx$$ 73.33%

So; 73.33% of male voters voted for Sobel.

Perhaps some mistake; either in my solution or the problem or the options.
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04 Mar 2011, 10:05
Official answer is 44%, so its correct ... In my opinion the question is not very clear ...
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04 Mar 2011, 22:02
I'm also getting 73.33%.

100 voters

So 70 voters for Sobel

60 Male so 40 female

35 % female voted for Lange, so 35/100 * 40 = 1400/100 = 14 females

So remaining (40-14) = 26 female voters for Sobel

So %age of male voters for Sobel = 44/60 * 100

= 11/15 * 100 = 220/3 = 73.33 %
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05 Mar 2011, 06:43
i will solve this question like following
70% vote for S =>30% vote for L
60% is male => 40% female
S L
M 70-26=44%----16%
F 40-14=26<--- 0.35*40=14%
total 70___-----30

the answer is 44
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09 Mar 2011, 16:39
M F total
L 16 14 30
S 44 70
Tot 60 40 100

35% of 40 = 14 ------Female voters that means 16 male voted for L
so 60-16 = 44

D is correct
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09 Mar 2011, 17:58
Hi All- First post on this forum.

Wording in the original question is what's throwing me off...
It's asking for "...what percentage of the male voters voted for Sobel?"

44% would be the total percent of voters that were MALE AND VOTED for Sobel, would it not?
Following Fluke and Subhashghosh's logic, % of male voters that voted for Sobel would be (44/60)*100 = 73.33%

I see how they arrived at the answer, but I agree Madelaine, the wording is not very clear on this one...
Re: Election   [#permalink] 09 Mar 2011, 17:58
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Election

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