SOLUTION: in an election for an assembly seat there were two candidates. a total of 9791 votes were pulled.116 votes were declared invalid.the successful candidate got 5 votes for every 4 vo

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Question 743138: in an election for an assembly seat there were two candidates. a total of 9791 votes were pulled.116 votes were declared invalid.the successful candidate got 5 votes for every 4 votes his opponent had.by what marjin did he successful candidate win?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
9,791-116=9,675 TOTAL VOTES.
4N+5N=9N N IS THE MULTIPLIER.
9N=9,675
N=9,675/9
N=1,075 IS THE MULTIPLIER TO THE RATIO VALUES.
4*1,075=4,300 VOTES FOR THE LOOSER.
5*1,075=5,375 VOTES FOR THE WINNER.
PROOF:
4,300+5,375=9,675
9,675=9,675
4/5=4,300/5,375
5*4,300=4*5,375
21,500=21,500