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 ->  Equations -> 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 102925: 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 MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Let the winning candidate be +x
and the loser +y+
given: the winning candidate had 220 more votes than the loser =>+x+=+y+%2B220
since+x%2B+y+=+810

then
%28y+%2B+220%29+%2B+y+=+810
2y+=+810+%96+220
2y+=+590
y+=+590%2F2
y+=+295+ =>+x+=+295+%2B+220 = > x+=515
check:
295+%2B+515+=+810