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 37219This question is from textbook
: 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?
This question is from textbook

Answer by Nate(3500) About Me  (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?
..............................................................................
First, determine variables:
l=votes for loser
w=votes for winner
..............................................................................
Next, determine equations:
w=220+l
l+w=810
..............................................................................
Last, combine these equations:
l+w=810 original
w=810-l use subtstitution
w=220+l original
810-l=220+l plug in for variable
590=2l combine
l=295 loser's votes
l+w=810 original
295+w=810 plug in for variable
w=515 winner's vote