In a certain city, 60 percent of the registered voters

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Fri Mar 09, 2018 5:58 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%

Can some experts show me the best solution?

OA B

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Source: Beat The GMAT — Problem Solving | Fri Mar 09, 2018 5:58 pm

mbawisdom: Senior | Next Rank: 100 Posts; Posts: 94; Joined: Tue Dec 16, 2014 9:50 amFollowed by: 4 members; Location: London, UK; Thanked: 2 times; GMAT Score:770

by mbawisdom » Sat Mar 10, 2018 5:20 am

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

Happy to help, why don't you show me your logic and progression so far and I'll help you drive towards the answer.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8196; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Sun Jun 09, 2019 6:05 pm

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

If there are 200 voters, then 120 are Democrats and 80 are Republicans.

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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