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# Beth received 3/10 of the votes cast in a certian election

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Manager
Joined: 31 Oct 2011
Posts: 223

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07 Mar 2012, 15:34
12
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Difficulty:

45% (medium)

Question Stats:

63% (01:19) correct 37% (01:00) wrong based on 302 sessions

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Beth received 3/10 of the votes cast in a certian election. What franction 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
Math Expert
Joined: 02 Sep 2009
Posts: 54544
Re: PT #11 PS 3 Q 16  [#permalink]

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07 Mar 2012, 15:48
1
2
eybrj2 wrote:
Beth received 3/10 of the votes cast in a certian election. What franction 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

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Manager
Joined: 08 Nov 2014
Posts: 81
Location: India
GPA: 3
WE: Engineering (Manufacturing)

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10 Jan 2015, 09:43
At first I got it totally wrong !!

Sum of fractions of the Total votes casted 1.

x+ 3/10=1/2
x=2/10=1/5 ..................... So, beth needs another 1/5 th the total vote casted.

Remaining Fraction = 1- 3/10 = 7/10

Required Fraction = (1/5)/(7/10) = 2/7

eybrj2 wrote:
Beth received 3/10 of the votes cast in a certian election. What franction 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

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Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1813
Location: India
Concentration: General Management, Technology
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12 Jan 2015, 21:29
1
.................... Beth .................... Non Beth ................. Total

Initial votes..... $$\frac{3}{10}$$ ....................... $$\frac{7}{10}$$ ......................... 1 (Assumed)

Requirement...... $$\frac{3}{10} + \frac{2}{10} = \frac{5}{10}$$ ..................... $$\frac{7}{10} - \frac{2}{10} = \frac{5}{10}$$ ...... 1

$$Fraction = \frac{\frac{2}{10}}{\frac{7}{10}} = \frac{2}{7}$$

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17 Aug 2017, 23:17
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: Beth received 3/10 of the votes cast in a certian election   [#permalink] 17 Aug 2017, 23:17
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# Beth received 3/10 of the votes cast in a certian election

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