When 2/9 of the votes on a certain resolution have been

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When 2/9 of the votes on a certain resolution have been [#permalink]

02 Mar 2012, 10:44

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When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

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Re: PT #9 PS 8 Q 20 [#permalink]

02 Mar 2012, 10:55

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eybrj2 wrote:

If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.

"2/9 of the votes on a certain resolution have been counted" --> 4 counted and 18-4=14 votes left to be counted;
"3/4 of thoes counted are in favor of the resolution" --> 3 in favor and 1 against;

Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of 18*2/3=12 people who voted against, so in the remaining 14 votes there should be 12-1=11 people who voted against. Thus 11/14 of the remaining votes must be against.

Answer: A.
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Re: When 2/9 of the votes on a certain resolution have been [#permalink]

02 Mar 2012, 10:59

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Final Result needs to be 2/3 Not in Favor

We already know of the 2/9th counted that we have 2/9 * 1/4 = 1/18

So then the question is how much of the 7/9 to go do we need to get to 2/3

Or:

1/18 + (7* x)/9 = 2/3

(14y +1)/18 = 2/3
14y+1= 12
y = 11/14 or answer is A

Re: When 2/9 of the votes on a certain resolution have been [#permalink] 02 Mar 2012, 10:59

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When 2/9 of the votes on a certain resolution have been

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When 2/9 of the votes on a certain resolution have been

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