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)      (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? 
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First, determine variables: 
l=votes for loser 
w=votes for winner 
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Next, determine equations: 
w=220+l 
l+w=810 
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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 
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