SOLUTION: Social Science: 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 recieive? Thanks.

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Social Science: 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 recieive? Thanks.       Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 67699: Social Science: 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 recieive?
Thanks.
Answer by ptaylor(1661) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=number of votes loser got
Then x+220=number of votes the winner got
Now we are told that:
x+x+220=810 subtract 220 from both sides
2x=810-220
2x=590
x=295-----------------------------number of votes for loser
x+220=295+220=515------------------number of votes for winner

Ck
295+515=810
810=810

Hope this helps-----ptaylor