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??

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Question 106831: 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 HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=the no. of votes the losing candidate received


Since the winning candidate had 220 more votes than the loser,
Let x+220=the no. of votes the winning candidate received

The total no. of votes is 810. thus,
x%2B%28x%2B220%29=810
%28x%2Bx%29%2B220=810
2x%2B220=810
2x%2B220-220=810-220
2x%2B0=590
2x=590
2x%2F2=590%2F2
x=295
x%2B220=515

therefore, the winning candidate received 515 votes while the losing candidate received 295 votes.

Power up,
HyperBrain!