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# In a recent election, Geoff received 0.5 percent of the

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Senior Manager
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04 Mar 2012, 11:14
4
2
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:44) correct 22% (01:37) wrong based on 182 sessions

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In a recent election, Geoff received 0.5 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?

(A) 50
(B) 54
(C) 56
(D) 60
(E) 63

Ok guys - I did solve it and got the right answer too, but it was bit of a guess work too. So though to double check.

Votes Geoff received = $$\frac{0.5}{100}$$ * 6000 = 30 votes

Total votes required = 30 + 3571 = 3601. -----------------------(This is the guess work)

I took 3600 to force the answer and I got 60 %. Please see below how:

$$\frac{3600}{6000}$$ * 100 = 60. I am still not convinced. can someone please help? That x% bit in question is giving me headache

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04 Mar 2012, 11:23
Your guess work is correct. The original question says that in order to win, Geoff needs MORE THAN x% to win.

3601/6000 = .600166, which is just slightly more than 60%.
Math Expert
Joined: 02 Sep 2009
Posts: 53020
Re: In a recent election, Geoff received 0.5 percent of the  [#permalink]

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04 Mar 2012, 16:49
4
enigma123 wrote:
In a recent election, Geoff received 0.5 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
(A) 50
(B) 54
(C) 56
(D) 60
(E) 63

Ok guys - I did solve it and got the right answer too, but it was bit of a guess work too. So though to double check.

Votes Geoff received = $$\frac{0.5}{100}$$ * 6000 = 30 votes

Total votes required = 30 + 3571 = 3601. -----------------------(This is the guess work)

I took 3600 to force the answer and I got 60 %. Please see below how:

$$\frac{3600}{6000}$$ * 100 = 60. I am still not convinced. can someone please help? That x% bit in question is giving me headache

Geoff received 0.5/100*6,000=30 votes. He needed EXACTLY 30+3571=3601 votes, which is 1 vote more than 60% of 6,000 (0.6*6,000=3,600). Since a candidate needed to receive more than x% then x=60%.

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Re: In a recent election, Geoff received 0.5 percent of the  [#permalink]

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02 Jun 2012, 03:40
2
Word problems are tricky in somehow more than other problem because you have the additional step to translate.

he needs 3571 more votes so : 30+3571= 3601

Now what's the problem wants ?? a x %........3601 is what % of total votes 6000........translating: 3601 = x/100 * 6000 ---> x = 60.01666666

x= 60 %..........D

kudos if you want, of course.
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Re: In a recent election, Geoff received 0.5 percent of the  [#permalink]

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26 Nov 2013, 05:55
should not the question be asking for the approximate value of x, sine the answer is not quite 60%

3601/6000 = 0.60016666666
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Math Expert
Joined: 02 Sep 2009
Posts: 53020
Re: In a recent election, Geoff received 0.5 percent of the  [#permalink]

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26 Nov 2013, 07:16
1
Aldossari wrote:
should not the question be asking for the approximate value of x, sine the answer is not quite 60%

3601/6000 = 0.60016666666

We are told that a candidate needs to receive more than x% of the vote.
We got that a candidate needs to receive more than 3,600 votes (3,601).

3,600 is 60% of total votes. Thus x=60%.

Hope it's clear.
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Re: In a recent election, Geoff received 0.5 percent of the  [#permalink]

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12 Oct 2018, 09:21
1
0.6*X=3,601

Since a candidate needed to receive more than x% then x=60%.
Re: In a recent election, Geoff received 0.5 percent of the   [#permalink] 12 Oct 2018, 09:21
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