document.write( "Question 982767: the ski club is planning to charter a bus to a ski resort. the cost will be $900 and each member will share the cost equally. if the club had 15 more members, the cost per persona would be $10 less. how many are in the club now?( hint if x=number in the club now, 900/x= cost per person.) \n" ); document.write( "
Algebra.Com's Answer #603559 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the ski club is planning to charter a bus to a ski resort. the cost will be $900 and each member will share the cost equally. if the club had 15 more members, the cost per persona would be $10 less. how many are in the club now?( hint if x=number in the club now, 900/x= cost per person.) \n" ); document.write( "---------- \n" ); document.write( "Starting average cost per person:: 900/x \n" ); document.write( "------ \n" ); document.write( "After gaining 15 members:: 900/(x+15) \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "original average - new average = 10 \n" ); document.write( "--------------------- \n" ); document.write( "900/x - 900/(x+15) = 10 \n" ); document.write( "--------- \n" ); document.write( "1/x - 1/(x+15) = 1/90 \n" ); document.write( "----- \n" ); document.write( "90(x+15) - 90x = x^2 + 15x \n" ); document.write( "----- \n" ); document.write( "x^2 + 15x - 90*15 = 0 \n" ); document.write( "--- \n" ); document.write( "Positive solution:: \n" ); document.write( "x = 30 (original number of students) \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------------------- \n" ); document.write( " \n" ); document.write( " |