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In the presidential election, 55% of the people who voted, voted for

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In the presidential election, 55% of the people who voted, voted for [#permalink]

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New post 16 Apr 2012, 20:45
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In the presidential election, 55% of the people who voted, voted for the democratic candidate and 35% voted for the republican candidate. If 8% of the number of people eligible to vote, voted for neither the republican nor the democrat, what percent of people eligible to vote actually voted in the elections?

A. 40
B. 60
C. 80
D. 88
E. 90
[Reveal] Spoiler: OA

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Re: In the presidential election, 55% of the people who voted, voted for [#permalink]

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New post 16 Apr 2012, 21:26
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Smita04 wrote:
In the presidential election, 55% of the people who voted, voted for the democratic candidate and 35% voted for the republican candidate. If 8% of the number of people eligible to vote, voted for neither the republican nor the democrat, what percent of people eligible to vote actually voted in the elections?

A.40
B.60
C.80
D.88
E.90


let people eligible to vote = y
people actually voted = x

Democratic = 0.55x
Republican = 0.35 x

total voters = 0.90 x
hence 0.10x voters who voted didnt voted for D and R.

now, 0.10 x = 0.08 y
=> x/y = 8/10

hence 80%

Hence C
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Re: In the presidential election, 55% of the people who voted, voted for [#permalink]

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New post 16 Apr 2012, 21:47
Hi,

I think this is the way how to solve this problem

Democractic : 55
Republican : 35
Total Eligible Population : x
Neither : 0.08x
(Its an election so you cant have both )

=> 55+35+0.08x = x
90 = 0.92 X
X = 100

Thus the percent of people eligible to vote actually voted in the elections = (55+35)/100 =>90/100 = 90%

Thus E
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In the presidential election, 55% of the people who voted, voted for [#permalink]

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New post 17 Apr 2012, 01:31
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boomtangboy wrote:
In the presidential election, 55% of the people who voted, voted for the democratic candidate and 35% voted for the republican candidate. If 8% of the number of people eligible to vote, voted for neither the republican nor the democrat, what percent of people eligible to vote actually voted in the elections?

A.40
B.60
C.80
D.88
E.90

Hi,

I think this is the way how to solve this problem

Democractic : 55
Republican : 35
Total Eligible Population : x
Neither : 0.08x
(Its an election so you cant have both )

=> 55+35+0.08x = x
90 = 0.92 X
X = 100

Thus the percent of people eligible to vote actually voted in the elections = (55+35)/100 =>90/100 = 90%

Thus E


That's not correct.

If you are doing that way then you should have 55% + 35% + 0.08x% = 100%, because 55%, 35% and neither = 0.08x% together must sum up to 100% (all that voted). 55 + 35 + 0.08x = 100 --> x = 125 --> voted/eligible = 100/125 = 0.8.

Answer: C.
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Re: In the presidential election, 55% of the people who voted, voted for [#permalink]

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New post 04 Jan 2018, 23:47
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Re: In the presidential election, 55% of the people who voted, voted for   [#permalink] 04 Jan 2018, 23:47
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