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In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if

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by BTGmoderatorDC » Thu Mar 05, 2020 5:36 pm

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Difficulty—

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

Source: Official Guide
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Re: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race

by Jay@ManhattanReview » Fri Mar 06, 2020 2:41 am
BTGmoderatorDC wrote: ↑
Thu Mar 05, 2020 5:36 pm
 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

Source: Official Guide
Percent of Democrats who could vote for Candidate A = 75% of 60% = 45%;
Percent of Republicans who could vote for Candidate A = 20% of 40% = 8%;

Percent of possible votes for Candidate A = 45% + 8% = 53%

The correct answer: B

Hope this helps!

-Jay
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Re: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race

by Scott@TargetTestPrep » Mon Mar 09, 2020 4:01 am
BTGmoderatorDC wrote: ↑
Thu Mar 05, 2020 5:36 pm
 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

Source: Official Guide
Let’s assume there are 100 registered voters in the city. Thus, 60 voters are Democrats and 40 are Republicans.

We see that 0.75 x 60 = 45 Democrats and 0.20 x 40 = 8 Republicans are expected to vote for Candidate A. Thus, (45 + 8) / 100 = 53/100 = 53% of the registered voters are expected to vote for Candidate A.

Answer: B

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