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 #113830 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
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!
\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?
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document.write( "W = number of votes the winner received\r\n" );
document.write( "L = number of votes the loser received.\r\n" );
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document.write( ">>...1401 votes were cast...<<\r\n" );
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document.write( "That means  W + L = 1401\r\n" );
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document.write( ">>...If 30 voters had switched their votes from\r\n" );
document.write( " the winner to the loser...<<\r\n" );
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document.write( "That means the winner would have gotten W-30 \r\n" );
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document.write( "and the loser would have gotten L+30 \r\n" );
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document.write( ">>...the loser would have won by 5 votes...<<\r\n" );
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document.write( "L+30 is 5 more than W-30 or\r\n" );
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document.write( "(L+30) = (W-30) + 5\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "Can you solve that system by simplifying the\r\n" );
document.write( "second equation and then using substitution\r\n" );
document.write( "or elimination?  If not post again asking how.\r\n" );
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document.write( "Answer: W = 728 votes, L = 673 votes.\r\n" );
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document.write( "They do add to 1401.\r\n" );
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document.write( "If the winner had had 30 votes less he would have had 698 votes.\r\n" );
document.write( "If the loser had had 30 votes more he would have had 703 votes.\r\n" );
document.write( "So the loser would have won by 5 votes.\r\n" );
document.write( "So we have the right answer.  Just solve the system.\r\n" );
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document.write( "Edwin

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