In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
(A) 50%
(B) 53%
(C) 54%
(D) 55%
(E) 57%
Can some experts show me the best solution?
OA B
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In a certain city, 60 percent of the registered voters
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BTGmoderatorDC
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Happy to help, why don't you show me your logic and progression so far and I'll help you drive towards the answer.lheiannie07 wrote:In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
(A) 50%
(B) 53%
(C) 54%
(D) 55%
(E) 57%
Can some experts show me the best solution?
OA B
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Scott@TargetTestPrep
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If there are 200 voters, then 120 are Democrats and 80 are Republicans.BTGmoderatorDC wrote:In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
(A) 50%
(B) 53%
(C) 54%
(D) 55%
(E) 57%
OA B
Also, 0.75 x 120 = 90 Democrats vote for Candidate A, and 0.2 x 80 = 16 Republicans vote for Candidate A. Thus, (16 + 90)/200 = 106/200 = 0.53 = 53% of the voters are expected to vote for Candidate A.
Answer: B
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