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PS -Fraction

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by gmatme » Wed Apr 18, 2007 8:13 am
Beth received 3/10 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
(A) 1/5
(B) 2/7
(C) 3/10
(D) 7/20
(E) 1/2

Isn't that answer should be 1/5? Can some one please explain how answer could be 2/7?
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by Cybermusings » Wed Apr 18, 2007 8:42 am
Beth received 3/10 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
(A) 1/5
(B) 2/7
(C) 3/10
(D) 7/20
(E) 1/2

Discussed in an earlier thread...however, here it goes

If total votes cast were x. Beth received 3x/10
Beth needs 2x/10 more votes to have 5x/10 or 1/2 of the total number of votes
Remaining votes = x-3x/10 = 7x/10
So fraction = (2x/10)/(7x/10)
=2/7
Hence B
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by isisalaska » Wed Apr 18, 2007 9:43 am
wow Cybermusings
this is a good one!
Isis Alaska
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by Ramesh2007 » Wed Apr 18, 2007 8:40 pm
What am I doing wrong here:

beth received 3/10 votes remaining 1- (3/10) = 7/10.

let x be the required fraction to make it 1/2

so 7/10 - x = 1/2

so x = 7/10 -1/2 = 1/5

my answer is 1/5

to verify if we add votes received by beth 3/10 + 1/5 = 1/2
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Re: PS -Fraction

by Brent@GMATPrepNow » Fri Feb 07, 2020 7:16 am
gmatme wrote: ↑
Wed Apr 18, 2007 8:13 am
 Beth received 3/10 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
(A) 1/5
(B) 2/7
(C) 3/10
(D) 7/20
(E) 1/2

Isn't that answer should be 1/5? Can some one please explain how answer could be 2/7?
That's assign a "nice" value to the total number of votes cast.
We'll choose a number that works well with the given information.

Let's say that a total of 10 votes were cast.

Beth received 3/10 of the votes cast in a certain election
3/10 of 10 = 3.
So, Beth received 3 votes

What fraction of the OTHER votes cast would she have needed in order to have received 1/2 of the votes cast?
Receiving 1/2 of the votes would require Beth to get a total of 5 votes.
In other words, Beth would have needed 2 additional votes among the 7 people who didn't vote for her

Answer: 2/7 = B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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