Question 37219
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