Beth received 2/5 of the votes cast in a certain election.

Beth received 2/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 2/3 of the votes cast?

Quiz

Answer/Solution

4/9

Steps/Work

Let the total votes be 100. Beth received 40 votes, other votes 100-40=60. In order to have received 1/2 of the votes she needed 200/3 votes so 80/3 more, which is 4/9 of the other votes.
Answer: E.