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(52776) (Show Source):
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 !
