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Re: Of a group of people surveyed in a political poll, 60 percent said tha [#permalink]
1
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Ans A:
Let's assume that there are 100 participants
60 responded to vote for R, Remaining din't respond to vote for R
eventually 90% of those 60 voted for R i.e. 54 voted for R
AND
5% of 40 also voted for R i.e. 2 more voted for R
now total votes for R = 54+2 =56 Ans.
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Re: Of a group of people surveyed in a political poll, 60 percent said tha [#permalink]
Assume 100 people total
Therefore,

60*.9+40*.05=56

:)
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Of a group of people surveyed in a political poll, 60 percent said tha [#permalink]
Expert Reply
HKD1710 wrote:
Of a group of people surveyed in a political poll, 60 percent said that they would vote for candidate R. Of those who said they would vote for R, 90 percent actually voted for R, and of those who did not say that they would vote for R, 5 percent actually voted for R. What percent of the group voted for R?

(A) 56%
(B) 59%
(C) 62%
(D) 65%
(E) 74%
 

We can let the number of people in the group be 200. So 0.6 x 200 = 120 said that they would vote for candidate R, and 200 - 120 = 80 said that they would not. Of the 120 people who said that they would vote for candidate R, 0.9 x 120 = 108 actually did vote for R. Of the 80 people who said that they would not, 0.05 x 80 = 4 actually did vote for R. Therefore, the percent of the people who voted for R is (108 + 4)/200 = 112/200 = 56/100 = 56%.

Answer: A­
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Re: Of a group of people surveyed in a political poll, 60 percent said tha [#permalink]
Expert Reply
HKD1710 wrote:
Of a group of people surveyed in a political poll, 60 percent said that they would vote for candidate R. Of those who said they would vote for R, 90 percent actually voted for R, and of those who did not say that they would vote for R, 5 percent actually voted for R. What percent of the group voted for R?

(A) 56%
(B) 59%
(C) 62%
(D) 65%
(E) 74%



Answer: Option A

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Re: Of a group of people surveyed in a political poll, 60 percent said tha [#permalink]
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Re: Of a group of people surveyed in a political poll, 60 percent said tha [#permalink]
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