Question

A contractor bought 12.612.6 ftsquared2 of sheet metal. HeHe has used 2.32.3 ftsquared2 so far and has ​$206206 worth of sheet metal remaining. The equation 12.612.6xminus−2.32.3xequals=206206 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?

Answer 1

Each sheet of metal cost $20.

Explanation:

Given:

Initial amount of sheet with the contractor is,
`A_0=12.6\ ft^2`

Amount of sheet used is,
`U=2.3\ ft^2`

Cost of remaining sheet,
`C=\$206`

Now, let the cost of metal sheet per square foot be 'x'.

Cost of 12.6 square feet sheet =
`12.6x`

Cost of 2.3 square feet sheet =
`2.3x`

Therefore, cost of remaining sheet can be obtained by subtracting the used material cost from initial material cost. So,

`12.6x-3.2x=206\\10.3x=206\\x=(206)/(10.3)\\x=\$20`

Hence, the cost of metal sheet per square foot is 20 dollars.