In the presidential election, 55% of the people who voted : GMAT Problem Solving (PS)
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# In the presidential election, 55% of the people who voted

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

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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
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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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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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17 Apr 2012, 01:31
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Expert's post
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.

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24 Sep 2012, 08:43
Bunuel wrote:
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.

Hi Bunuel.. Why are we adding neither part into the equation above ?

lets say 100 people voted.. so 55 + 35 = 90 voted
say x people are eligible to vote : .08x didn't vote for any of them , >> so why are we adding it to ones who voted ???

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

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13 Oct 2016, 12:22
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In the presidential election, 55% of the people who voted   [#permalink] 13 Oct 2016, 12:22
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