document.write( "Question 502280: A dinner theatre sells two types of tickets. Floor seats cost $50 while stadium seats cost $35. If the theatre sold 170 seats for $6625, how many tickets of each type were sold?\r
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document.write( "Tried:
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document.write( "x = # floor seats sold
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document.write( "170 - x = # stadium seats sold\r
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document.write( "Can't figure out where to go from here. Help! \n" );
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Algebra.Com's Answer #338811 by geetha_rama(94)![]() ![]() ![]() You can put this solution on YOUR website! Let x be the no: of floor seats \n" ); document.write( "and y be the number of stadium seats \n" ); document.write( "x+y = 170 -> equation 1\r \n" ); document.write( "\n" ); document.write( "Cost of floor seat = $50 \n" ); document.write( "Cost of stadium seat = $35 \n" ); document.write( "theatre sold 170 tickets for $6625 \n" ); document.write( "50x + 35y = 6625 \n" ); document.write( "=> 10x + 7y = 1325 \n" ); document.write( " 7x+7y = 1190 (multiply equation 1 by 7)\r \n" ); document.write( "\n" ); document.write( "Subtract the above 2 equations, \n" ); document.write( " 3x = 135 \n" ); document.write( "=> x = 45 \n" ); document.write( " y = 170 -x = 125\r \n" ); document.write( "\n" ); document.write( "There are 45 floor seats and 125 stadium seats\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |