document.write( "Question 81169: 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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document.write( "winner:___votes
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document.write( "loser:____votes \n" );
document.write( "
Algebra.Com's Answer #58177 by sprolden(40)![]() ![]() ![]() 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? \n" ); document.write( "winner:___votes \n" ); document.write( "loser:____votes\r \n" ); document.write( "\n" ); document.write( "1- Let x = the loser's votes. \n" ); document.write( "2- The winning candidate has 220 more votes than the loser x+220 \n" ); document.write( "3- The winning candidate is represented by x+220 and the losing candidate is represented by x. 810 votes were cast in all x+(x+220)=810 \n" ); document.write( "4- Solve the equation for x by combining like terms \n" ); document.write( "x+(x+220)=810 \n" ); document.write( "2x+220=810 \n" ); document.write( "5-Subtract 220 from each side \n" ); document.write( "2x+220-220=810-220 \n" ); document.write( "2x=590 \n" ); document.write( "6- Divide each side by 2 \n" ); document.write( "2x/2=590/2 \n" ); document.write( "x=295 \n" ); document.write( "7- Earlier, I let x+220 be the winner's votes. The winner had 295+220 or 515 votes. The loser had x or 295 votes. \n" ); document.write( "winner: 515 votes \n" ); document.write( "loser: 295 votes \n" ); document.write( "515+295=810 votes in all \n" ); document.write( " |