SOLUTION: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive? I need to show the equatio

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Question 110227: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
I need to show the equation, thanks!

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
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Let the number of loser votes be "x"
The number of winner votes is "x+220"
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EQUATION:
loser votes + winner votes = 810
x + x+220 = 810
2x +220 = 810
2x = 590
x = 295 (# of loser votes)
x+220 = 515 (# of winner votes)

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

the candidate ( let him be ) had more votes than the (let him be )

If votes were cast in all, then


....move to the left


...........votes that did receive



...........votes that candidate did receive
check:







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