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 w 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?
Choose the correct choice from the following answers
A) 11/14
B) 13/18
C) 4/7
D) 3/7
E) 3/14
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--&gt; 4 counted and  18-4= 
<gadget id="calculator"> 18-4</gadget>
<output>14</output>
14 votes left to be counted;   3/4 of those counted are in favor of the resolution--&gt; 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= 
<gadget id="calculator">  18*2/3</gadget>
<output>12</output>
12 people who voted against, so in the remaining 14 votes there should be   12-1= 
<gadget id="calculator">  12-1</gadget>
<output>11</output>
11 people who voted against. Thus w=11/14 of the remaining votes must be against.   11/14nswer: 11/14.
<result>A</result>
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 w 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?