SOLUTION: Solve the following problems.show the equation used for the solution. Social science. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes

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Question 91973: Solve the following problems.show the equation used for the solution.
Social science. 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?

Answer by ptaylor(2198) 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
Total votes cast=810
Now we know that:
Number of votes for loser plus number of votes for winner equals total votes cast. So our equation to solve is:
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 the loser
220+x=220+295=515------------------number of votes for the winner

CK
295+515=810
810=810
also 515 is 220 more than 295

Hope this helps---ptaylor