SOLUTION: Carmen wants to tile the floor of his house. He will need 1,000 square feet of tile. He will do most of the floor with a tile that costs $1.50 per square foot, but also wants to us

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Question 1135536: Carmen wants to tile the floor of his house. He will need 1,000 square feet of tile. He will do most of the floor with a tile that costs $1.50 per square foot, but also wants to use an accent tile that costs $4.00 per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be $2 per square foot?
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
Let x be the number of $1.50 tiles.

Then the number of the $4.00 tiles should be (1000-x).


The total cost will be  1.50*x + 4.00*(1000-x)  dollars.


She wants the average cost would be $2 per square foot:


     = 2.


Solve this equation.


    1.50*x + 4.00*(1000-x) = 2*1000


    1.5x + 4000 - 4x = 2000

    -2.5x = 2000 - 4000

    -2.5x = -2000  ===============>  x =  = 800.


ANSWER.  800 tiles per $1.500 and the rest 1000-800 = 200 tiles per $4.00.


CHECK.    = 2.00 dollars.   ! Correct !


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