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?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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?      Log On


   

Question 46583: 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
w = winners votes
l = losers votes
w = l + 220
l + w = 810
l + l + 220 = 810
2l = 810 - 220
2l = 590
l = 295 losers votes
w = l + 220
w = 295 + 220
w = 515 winners votes
check
l + w = 810
295 + 515 = 810
810 = 810
OK
l + l + 220 = 810
590 + 220 = 810
810 = 810
OK