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# beth receive 3/10 of the votes cast in a certain election.

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Manager
Joined: 05 Jul 2006
Posts: 198
Followers: 1

Kudos [?]: 20 [0], given: 0

beth receive 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 casted?

1/5
2/7
3/10
7/10
1/2
Senior Manager
Joined: 31 Jul 2006
Posts: 440
Followers: 3

Kudos [?]: 14 [0], given: 0

lan583 wrote:
beth receive 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 casted?

1/5
2/7
3/10
7/10
1/2

3/10 + x =1/2

x=1/2-3/10= 5/10-3/10=2/10=1/5 A.
Intern
Joined: 27 Aug 2006
Posts: 18
Followers: 0

Kudos [?]: 1 [0], given: 0

If beth get 2/7 votes of 7/10 other casted votes, it'll be 2/7*7/10 = 1/5

3/10 + 1/5 = 1/2.

Key here is "what fraction of the other votes cast would she have needed".
Director
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
Followers: 5

Kudos [?]: 31 [1] , given: 1

1
KUDOS
B

Let's assume there were 10 votes cast. To get 1/2 of the votes, she needs 2 more votes out of the remaining 7. So, she needs 2/7 votes to get 1/2 of all the votes cast.
Manager
Joined: 08 Jul 2006
Posts: 89
Followers: 1

Kudos [?]: 0 [0], given: 0

You guys are really helpful. I wish we could all see these tricks quickly.
Senior Manager
Joined: 31 Jul 2006
Posts: 440
Followers: 3

Kudos [?]: 14 [0], given: 0

Rayn wrote:
You guys are really helpful. I wish we could all see these tricks quickly.

D'OH I had a feeling there was a trick. thx !
VP
Joined: 25 Jun 2006
Posts: 1175
Followers: 2

Kudos [?]: 72 [0], given: 0

B.

take 10 votes in total. and u solve it quickly.
Manager
Joined: 07 Jun 2006
Posts: 113
Followers: 2

Kudos [?]: 7 [0], given: 0

Let X be the total number of votes and N be the fraction that we are looking for:

3X/10 + N* (7X/10) = X/2

Solve for N, you will get 2/7
Senior Manager
Joined: 13 Sep 2006
Posts: 282
Location: New York
Followers: 1

Kudos [?]: 8 [0], given: 0

Yeah B. Assume number of votes is 10. 3 gone and 7 remain. She needs 2 votes to get 1/2. (2/7)7 = 2.
_________________

"Never let the fear of striking out get in your wayâ€

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