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A contractor bought 10.8 ft² of sheet metal. He has used 3.5 ft² so far and has $219 worth of sheetmetal remaining. The equation 10.8x - 3.5x = 219 represents how much sheet metal is remainingand the cost of the remaining amount. How much does sheet metal cost per square foot?

Respuesta :

[tex]10.8x-3.5x=219[/tex]

The first step to do is to combine 10.8x - 3.5x and that is equal to 7.3x.

[tex]7.3x=219[/tex]

The next step is to divide both sides by 7.3 to solve for x.

[tex]\begin{gathered} \frac{7.3x}{7.3}=\frac{219}{7.3} \\ x=30 \end{gathered}[/tex]

Therefore, the remaining sheet metal is 7.3 ft² and the cost per square foot of sheet metal is $30.

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