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# In a certain city, 60% of the registered voters are democrats and the

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In a certain city, 60% of the registered voters are democrats and the [#permalink]

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13 Feb 2011, 13:27
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In a certain city, 60% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?

a) 50%
b) 53%
c) 54%
d) 55%
e) 57%

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-a-certain ... 43756.html
[Reveal] Spoiler: OA

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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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13 Feb 2011, 13:47
Let total voters = 100
so D= 60, vote for the mayor 60*75%=45 (60*3/4)
R= 40, vote for the mayor 40*20%= (40*1/5)
45+8=53
53/100*100=53%
Is any other easy process?
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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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18 Mar 2011, 13:35
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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 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%

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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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18 Mar 2011, 13:56
Registered voters = 100

D = 60

R = 40

75% of D ( 60) = 45

20% of R ( 40 ) = 8

Total voter% of registered voters = 53 / 100

53% Ans B
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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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18 Mar 2011, 15:33
(60/100)*V = D
(40/100)*V = R

(75/100)D + (20/100)R
substituting first two values in the third expression

we get (53/100 )V
= 53% of registered voters

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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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18 Mar 2011, 22:06
3/4*60 + 1/5*40

= 45 + 8 = 53

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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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16 Apr 2017, 10:43
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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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17 May 2017, 14:28
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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 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%

Let the total voters be = 100
Democrat voters = 60% of 100 = $$\frac{60}{100}$$ x 100 = 60
Republican voters = 40% of 100 = $$\frac{40}{100}$$ x 100 = 40
75% of Democrat voters voted for Candidate A = 75% of 60 = $$\frac{75}{100}$$ x 60 = 45
20% of Republican voters voted for Candidate A = 20% of 40 = $$\frac{20}{100}$$ x 40 = 8
Total voters voted for Candidate A = 45 + 8 = 53
Required percentage = Voters voted for Candidate A / Total voters x 100 = $$\frac{53}{100}$$ x 100 = 53%

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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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22 May 2017, 17:43
banksy 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%

We are given that 60% of the voters are Democrats and the rest are Republicans. This means that 40% are Republicans. We also know that 75% of the voters who are Democrats and 20% of the voters who are Republicans are expected to vote for Candidate A.

The easiest way to solve this problem is to assume that the total number of registered voters is 100 (we could use other numbers, but 100 is an easy number to work with in percentage problems).

We know that 60% of the registered voters are Democrat and 40% are Republicans, so there are 60 registered Democrats and 40 registered Republicans.

Now, since 75% of the 60 registered Democrats are expected to vote for Candidate A, we know that 0.75 x 60 = 45 Democrats are expected to vote for Candidate A. Similarly, because 20% of the 40 registered Republicans are expected to vote for Candidate A, we know that 0.2 x 40 = 8 Republicans are expected to vote for Candidate A.

Thus, there are 45 + 8 = 53 voters expected to vote for Candidate A. Remember, we initially used 100 as the total number of voters, so this means that 53 out of 100, or 53% of the voters, are expected to vote for Candidate A.

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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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09 Jun 2017, 05:26
Is it possible to make venn diagrams or tables for all problems? Or it depends......
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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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09 Jun 2017, 05:51
Imo B
.60*.75+.40*.20=.53

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Re: In a certain city, 60% of the registered voters are democrats and the [#permalink]

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23 Jun 2017, 13:10
GMATD11 wrote:
In a certain city, 60% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?

a) 50%
b) 53%
c) 54%
d) 55%
e) 57%

Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.

60*0.75=45 Democrats are expected to vote for Candidate A;
40*0.20=8 Republicans are expected to vote for Candidate A.

Thus total of 45+8=53 registered voters are expected to vote for Candidate A, which is 53% of the total number of registered voters.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-a-certain ... 43756.html
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Re: In a certain city, 60% of the registered voters are democrats and the   [#permalink] 23 Jun 2017, 13:10
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