document.write( "Question 1198174: In an election, there were three candidates. 3/7 of the electors voted for the winner. The runner-up received 5/8 of the remaining votes.
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Algebra.Com's Answer #831742 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "In an election, there were three candidates. 3/7 of the electors voted for the winner.
\n" ); document.write( "The runner-up received 5/8 of the remaining votes.
\n" ); document.write( "a. What fraction of the electors voted for the third candidate?
\n" ); document.write( "b. If the winner received 3021 votes more than the runner-up, how many electors voted?
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\n" ); document.write( "\n" ); document.write( " Part (a)\r
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document.write( "Let x be the fraction under the problem's question (a).\r\n" );
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document.write( "Then you have this equation to find x\r\n" );
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document.write( "     +  + x = 1,\r\n" );
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document.write( "     +  + x = 1,\r\n" );
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document.write( "     +  + x = 1,\r\n" );
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document.write( "     +  + x = 1,\r\n" );
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document.write( "     +  + x = 1,\r\n" );
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document.write( "     + x = 1,\r\n" );
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document.write( "    x = 1 -  = .    ANSWER to question (a)\r\n" );
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\n" ); document.write( "\n" ); document.write( "Part (a) is solved.\r
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\n" ); document.write( "\n" ); document.write( " Part (b)\r
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document.write( "Let x be the number of voters.\r\n" );
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document.write( "We are given\r\n" );
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document.write( "     -  = 3021.\r\n" );
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document.write( "Simplify and find x.  First step multiply all the terms by 7*8 = 56\r\n" );
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document.write( "    24x - 5*4*x = 56*3021\r\n" );
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document.write( "    24x - 20x   = 56*3021\r\n" );
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document.write( "        4x      = 56*3021\r\n" );
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document.write( "         x    =    = 14*3021 = 42294  voters.       ANSWER to question (b)\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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