ardz24 wrote:In an election, candidate Smith won 52 percent of the total vote in Counties A and B. He won 61 percent of the vote in County A. If the ratio of people who voted in County A to County B is 3: 1, what percent of the vote did candidate Smith win in County B?
A. 25%
B. 27%
C. 34%
D. 43%
E. 49%
Since A:B = 3:1, let A=300 and B=100, for a total of 400 votes.
Since Smith won 52% of the 400 votes in A and B, the total number of votes won = (52/100)(400) = 208.
Since Smith won 61% of the 300 votes in A, the number of votes won in A = (61/100)(300) = 183.
Thus, the number of votes won in B = (total votes won in A and B) - (votes won in A) = 208-183 = 25.
Since Smith won 25 of the 100 votes in B, the percent won in B = 25/100 = 25%.
The correct answer is
A.
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