Answer:
Each sheet of metal cost $20.
Step-by-step explanation:
Given:
Initial amount of sheet with the contractor is, [tex]A_0=12.6\ ft^2[/tex]
Amount of sheet used is, [tex]U=2.3\ ft^2[/tex]
Cost of remaining sheet, [tex]C=\$206[/tex]
Now, let the cost of metal sheet per square foot be 'x'.
Cost of 12.6 square feet sheet = [tex]12.6x[/tex]
Cost of 2.3 square feet sheet = [tex]2.3x[/tex]
Therefore, cost of remaining sheet can be obtained by subtracting the used material cost from initial material cost. So,
[tex]12.6x-3.2x=206\\10.3x=206\\x=\frac{206}{10.3}\\x=\$20[/tex]
Hence, the cost of metal sheet per square foot is 20 dollars.
