Beth received 3/10 of the votes cast in a certian election. What franction of the other votes cast would she have needed

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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

Answer: B

Source: GMAT Paper Tests

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VJesus12 wrote:
Thu Apr 15, 2021 11:58 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

Answer: B

Source: GMAT Paper Tests
Let'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
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