document.write( "Question 401160: A social club charters a plane at a cost of $34848 to take a group of members on an excursion to Atlantic City. At the last minute, 11 people in the group decide not to go. This raises the transportation cost per person by $24 . How many people originally intended to take the trip? \n" ); document.write( "
Algebra.Com's Answer #283850 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A social club charters a plane at a cost of $34848 to take a group of members on an excursion to Atlantic City. At the last minute, 11 people in the group decide not to go. This raises the transportation cost per person by $24 . How many people originally intended to take the trip? \n" ); document.write( "------------------------ \n" ); document.write( "Let \"x\" be the original number of trippers. \n" ); document.write( "Average cost = 34848/x \n" ); document.write( "---- \n" ); document.write( "Changed number of trippers: x-11 \n" ); document.write( "New average cost = 34848/(x-11) \n" ); document.write( "------------------------- \n" ); document.write( "Equation: \n" ); document.write( "New Av - Old Av = 24 \n" ); document.write( "--- \n" ); document.write( "34848/(x-11) - (34848/x) = 24 \n" ); document.write( "11*34848 = 24x(x-11) \n" ); document.write( "15972 = x^2-11x \n" ); document.write( "--- \n" ); document.write( "x^2-11x-15972 = 0 \n" ); document.write( "(x+121)(x-132) = 0 \n" ); document.write( "--- \n" ); document.write( "Positive solution: x = 132 (original # of trippers) \n" ); document.write( "====================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |