In a recent election, Geoff received 0.5 percent of the

Question

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

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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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Official Answer

D

pstrench · Answer

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%.

Bunuel · Answer

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%.

Answer: D.

Carcass · Answer

Word problems are tricky in somehow more than other problem because you have the additional step to translate.

Breaking the problem: Geoff how many votes he receives ?? 30 votes

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.

Aldossari · Answer

should not the question be asking for the approximate value of x, sine the answer is not quite 60%

3601/6000 = 0.60016666666

Bunuel · Answer

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%. Check here: in-a-recent-election-geoff-received-0-5-percent-of-the-128567.html#p1053539 Hope it's clear.

rever08 · Answer

Geoff received 0.5/100*6,000=30 votes. 
He needed 30+3571=3601 votes, So
0.6*X=3,601

Since a candidate needed to receive more than x% then x=60%.

bumpbot · Answer

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In a recent election, Geoff received 0.5 percent of the

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