document.write( "Question 118422: A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. What is the cost per person if 40 people charter the aircraft?\r
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document.write( "The answer is $108.\r
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document.write( "I've tried several formulas, but am convinced I am missing an integral piece of the equation. \n" );
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Algebra.Com's Answer #86538 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. What is the cost per person if 40 people charter the aircraft? \n" ); document.write( "The answer is $108. \n" ); document.write( "---------------------- \n" ); document.write( "Let \"x\" be the fixed total cost. \n" ); document.write( "If 36 people go the average cost is x/36 dollars per person \n" ); document.write( "------- \n" ); document.write( "If 40 people go the average cost is x/40 dollars perperson \n" ); document.write( "-------- \n" ); document.write( "EQUATION: \n" ); document.write( "36person cost is 12 more per person than 40 person cost \n" ); document.write( "x/36 = x/40 + 12 \n" ); document.write( "--------- \n" ); document.write( "Multiply thru by 360 to get: \n" ); document.write( "10x = 9x + 12*360 \n" ); document.write( "x = $4320 \n" ); document.write( "---------- \n" ); document.write( "If 40 charter the airplane the per person cost is 4320/40 = $108.00 \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |