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A contractor bought 8.2 ftsquared of sheet metal. She has used 3.5 ftsquared so far and has ​$141 worth of sheet metal remaining. The equation 8.2xminus3.5xequals141 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?

Respuesta :

MrRoyal

Answer:

The cost of a sheet metal per square foot is $30

Step-by-step explanation:

Given

Size of Sheet Metal = 8.2ft squared

Used Sheet Metal = 3.5ft squared

Worth of leftover sheet = $141

Equation: [tex]8.2x - 3.5x = 141[/tex]

Required

Find the cost per square foot of the sheet metal

Solving for x in the above equation will give the cost per square foot of the sheet metal.

[tex]8.2x - 3.5x = 141[/tex]

[tex]4.7x = 141[/tex]

Divide both sides by 4.7

[tex]\frac{4.7x}{4.7} = \frac{141}{4.7}[/tex]

[tex]x = \frac{141}{4.7}[/tex]

[tex]x = 30[/tex]

Hence, the cost of a sheet metal per square foot is $30

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