SOLUTION: In a certain election, there were only two candidates. The winner won by 120 votes,receiving 65% of the votes cast. By letting the number of votes of the two candidates be x and y,

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a certain election, there were only two candidates. The winner won by 120 votes,receiving 65% of the votes cast. By letting the number of votes of the two candidates be x and y,      Log On


   

Question 464089: In a certain election, there were only two candidates. The winner won by 120 votes,receiving 65% of the votes cast. By letting the number of votes of the two candidates be x and y, find how many people voted.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent the number of people voting

Question states***

 .65x -.35x = 120

        .30x = 120

           x = 120/.30

           x = 400 people voted



CHECKING our Answer***

 .65*400 - .35*400 = 260 - 140 = 120