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
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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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