<PRE><B>Question 1042478</B>
 Please help me solve this problem: 
Amanda is having new tile installed in her kitchen. 
TileAll charges a flat fee of $378.00 plus $15.00 per tile. 
T(x) = 378 + 15x
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KitchenPlus charges a flat fee of $550.00 plus $14.50 per tile. 
K(x) = 550 + 14.50x
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Amanda has a 10% discount coupon at KitchenPlus. 
If Amanda purchases x tiles, what will the following expression be to model the average cost per tile at KitchenPlus.
Total cost with the 10% discount:: 0.9(550+14.5x)
Average cost:: [0.9(550+14.5x)/x = (495+13.5x)/x
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How many tiles does Amanda have to order for the average cost per tile to be equal at both TileAll and KitchenPlus?
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Solve (495+13.5x)/x = (378+15x)/x
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495x + 13.5x^2 = 378x + 15x^2
1.5x^2 - 117x = 0
x(1.5x-117) = 0
x = 78 tiles
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Cheers,
Stan H.
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