document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031866>Question 1031866</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the 75 dollar cost for a party was to be equally shared by all those attending. Since 5 more people attended than were expected, the price per person dropped by 50 cents. How many people attended the party?  </SPAN>\n" );
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document.write( "the 75 dollar cost for a party was to be equally shared by all those attending.\r<BR>\n" );
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document.write( "let x people attend the party\r<BR>\n" );
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document.write( "Price per person  = 75/x\r<BR>\n" );
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document.write( "5 more people attended than were expected,\r<BR>\n" );
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document.write( "75/(x+5) = 75/x -0.50\r<BR>\n" );
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document.write( "75/x - 75/(x+5) = 0.5\r<BR>\n" );
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document.write( "multiply by x(x+5)\r<BR>\n" );
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document.write( "75(x+5)-75x = 0.5x(x+5)\r<BR>\n" );
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document.write( "75x+375 -75x = 0.5x^2 +2.5x\r<BR>\n" );
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document.write( "0.5x^2 +2.5x-375=0\r<BR>\n" );
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document.write( "multiply by 2<BR>\n" );
document.write( "x^2+5x-750=0\r<BR>\n" );
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document.write( "x^2+30x-25x-750=0\r<BR>\n" );
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document.write( "x(x+30) -25(x+30)=0\r<BR>\n" );
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document.write( "(x+30)(x-25)=0\r<BR>\n" );
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document.write( "x=25\r<BR>\n" );
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document.write( "30 persons attended the party\r<BR>\n" );
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document.write( " How many people attended the party?  </SPAN>\n" );
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