document.write( "Question 340878: A social club charters a plane at a cost of \r
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document.write( " $34848
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document.write( "to take a group of members on an excursion to Atlantic City. \r
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document.write( "At the last minute, \r
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document.write( " 11
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document.write( " people in the group decide not to go. \r
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document.write( "This raises the transportation cost per person by \r
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document.write( " $24
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document.write( "How many people originally intended to take the trip?
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Algebra.Com's Answer #244168 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A social club charters a plane at a cost of \n" ); document.write( "$34848 to take a group of members on an excursion to Atlantic City. \r \n" ); document.write( "\n" ); document.write( "At the last minute, 11 people in the group decide not to go. \r \n" ); document.write( "\n" ); document.write( "This raises the transportation cost per person by \n" ); document.write( "$24. \r \n" ); document.write( "\n" ); document.write( "How many people originally intended to take the trip? \n" ); document.write( "---- \n" ); document.write( "Let original number be \"x\". \n" ); document.write( "Average cost for the original number was 34848/x dollars. \n" ); document.write( "--- \n" ); document.write( "New number of people is \"x-11\" \n" ); document.write( "Average cost for the new number is 34848/(x-11) dollars. \n" ); document.write( "-------------------- \n" ); document.write( "Equation: \n" ); document.write( "new average - old average = 24 dollars \n" ); document.write( "--- \n" ); document.write( "34848/(x-11) - 34848/x) = 24 \n" ); document.write( "---- \n" ); document.write( "34848x - 34848(x-11) = 24x(x-11) \n" ); document.write( "+11*34848 = 24x^2-264x \n" ); document.write( "--- \n" ); document.write( "24x^2-264x-11*34848 = 0 \n" ); document.write( "x = 132 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |