gamjatang wrote:

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

been counted, 3/4 of those 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

sorrie, looks like i misread one point, the bold part.

the no of voters against in all : Y*7/9X + 1/18 X = A

the ...................for..............: (1-Y)* 7/9 X+ 1/6 X= B

since A:B= 2:1 , we have

Y*7/9X+1/18X= 2*(1-Y)*7/9X + 2*1/6 X

---> 7/9Y+1/18= 14/9 - y*14/9 +1/3

---> 21/9Y= 14/9+1/3- 1/18 = 11/6 --> Y= 11/6 / 21/9 = 11/14

Btw, I think we can partially employ the lucky twins shortcut provided by Matt earlier