SOLUTION: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were castmin all, how many votes did each candidate receive?

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Question 71130: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were castmin all, how many votes did each candidate receive?
Answer by ptaylor(1894) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=number of votes for the loser
Then 220+x=number of votes for the winner
Loser votes+winner votes=total votes, So:
x+220+x=810 subtract 220 from both sides
x+220-220+x=810-220 collect like terms
2x=590 divide both sides by 2
x=295---------------------------number of votes for loser
220+x=220+295=515---------------number of votes for winner

Ck
295+515=810
810=810
Hope this helps----ptaylor