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A contractor brought 10.8 ft^2 of sheet metal. She has used 3.7 ft^2 so far and has $127.80 worth of sheet metal remaining. The equation 10.8x-3.7x=127.8 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?

Respuesta :

boffeemadrid

Answer:

[tex]\$18[/tex]

Step-by-step explanation:

Let the cost of sheet metal per square feet be [tex]x[/tex]

Amount of sheet metal bought is [tex]10.8\ \text{ft}^2[/tex]

Amount of sheet metal used is [tex]3.7\ \text{ft}^2[/tex]

Remaining value of the sheet metal is [tex]\$127.8[/tex]

So we get the equation

[tex]10.8x-3.7x=127.8\\\Rightarrow 7.1x=127.8\\\Rightarrow x=\dfrac{127.8}{7.1}\\\Rightarrow x=18[/tex]

So, cost of sheet metal per square feet is [tex]\$18[/tex].

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