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?

Question 81502: 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 doctor_who(15) (Show Source): You can put this solution on YOUR website!
This can be solved in a few ways, but this should work :
--
let w = winning candidate's votes.
The loser got 220 less than this, so he/she got w-220 votes.
--
The total number of votes is the winner's plus the loser's added together
So : w + (w-220) = 810
Add 220 to both sides
w + w = 1030
w = 515 (ie the winning candidate got 515 votes)
From this, we can then easily work out, the losing candidate must have got 295 votes.
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