SOLUTION: In a taste test between two brands of cereal, 1199 votes were cast. If 25 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How ma

Question 54556: In a taste test between two brands of cereal, 1199 votes were cast. If 25 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each cereal actually receive?
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
Let x be the winner votes and y be the loser's votes
EQUATION:
x+y=1199
y=1199-x
EQUATION 2:
5+(x-25)=y+25
Subsitute for y:
x-20=(1199-x)+25
2x=1244
x=622
y=1199-622
y=577
Hence, there were 622 winner votes and 577 loser's votes
Paul.
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