Question

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?

Answer 1

`10.8x-3.5x=219`

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

`7.3x=219`

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

`\begin{gathered} (7.3x)/(7.3)=(219)/(7.3) \\ x=30 \end{gathered}`

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