document.write( "Question 154576This question is from textbook Algebra and Trigonometry Structure and Method book 2
\n" ); document.write( ": I have been struggling on this problem for awhile now and I was wondering if someone would help me? Please and Thank you!! I would deeply appreciate it!\r
\n" ); document.write( "\n" ); document.write( "In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually recieve? \n" ); document.write( "
Algebra.Com's Answer #113832 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
In a two-candidate election 1401 votes were cast.
\n" ); document.write( "Let the winner have x votes; let the loser have 1401-x votes
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\n" ); document.write( "\n" ); document.write( "If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes.
\n" ); document.write( "winner = x -30
\n" ); document.write( "loser = 1401-x+30 = 1431-x
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\n" ); document.write( "EQUATION:
\n" ); document.write( "loser - winner = 5 votes
\n" ); document.write( "1431-x - (x-30) = 5
\n" ); document.write( "1431 - x - x + 30 = 5
\n" ); document.write( "2x = 1461-5
\n" ); document.write( "2x = 1456
\n" ); document.write( "x = 728 votes
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\n" ); document.write( "\n" ); document.write( " How many votes did each candidate actually receive?
\n" ); document.write( "Winner had x = 728
\n" ); document.write( "Loser had 1401-x = 673 votes
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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