document.write( "Question 1042478: Please help me solve this problem:\r
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document.write( "Amanda is having new tile installed in her kitchen. TileAll charges a flat fee of $378.00 plus $15.00 per tile. KitchenPlus charges a flat fee of $550.00 plus $14.50 per tile. Amanda has a 10% discount coupon at KitchenPlus. \r
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document.write( "If Amanda purchases x tiles, what will the following expression be to model the average cost per tile at KitchenPlus.\r
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document.write( "How many tiles does Amanda have to order for the average cost per tile to be equal at both TileAll and KitchenPlus? \n" );
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Algebra.Com's Answer #657453 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Please help me solve this problem: \n" ); document.write( "Amanda is having new tile installed in her kitchen. \n" ); document.write( "TileAll charges a flat fee of $378.00 plus $15.00 per tile. \n" ); document.write( "T(x) = 378 + 15x \n" ); document.write( "-------------------------------------- \n" ); document.write( "KitchenPlus charges a flat fee of $550.00 plus $14.50 per tile. \n" ); document.write( "K(x) = 550 + 14.50x \n" ); document.write( "--------------------------------------------------------------- \n" ); document.write( "Amanda has a 10% discount coupon at KitchenPlus. \n" ); document.write( "If Amanda purchases x tiles, what will the following expression be to model the average cost per tile at KitchenPlus. \n" ); document.write( "Total cost with the 10% discount:: 0.9(550+14.5x) \n" ); document.write( "Average cost:: [0.9(550+14.5x)/x = (495+13.5x)/x \n" ); document.write( "--------------------------------- \n" ); document.write( " \n" ); document.write( "How many tiles does Amanda have to order for the average cost per tile to be equal at both TileAll and KitchenPlus? \n" ); document.write( "---- \n" ); document.write( "Solve (495+13.5x)/x = (378+15x)/x \n" ); document.write( "--------- \n" ); document.write( "495x + 13.5x^2 = 378x + 15x^2 \n" ); document.write( "1.5x^2 - 117x = 0 \n" ); document.write( "x(1.5x-117) = 0 \n" ); document.write( "x = 78 tiles \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |