Asif123 wrote:
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
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 election3/10 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