Question

13. A contractor buys 8.2 square feet of sheet metal.

She used 2.1 square feet so far and has $183
worth of sheet metal remaining. Write and solve
an equation to find out how much sheet metal
costs per square foot.​

Answer 1

`x = (183)/(6.7)` is the required equation.

The Per sq ft of sheet costs $ 27.31.

Explanation:

The total amount of sheet purchased = 8.8 sq. ft

The amount of sheet used = 2. 1 sq ft.

The worth of remaining sheet = $183

Let us assume the cost per sq ft of sheet = $x

Now, the remaining sheet =

Amount of total sheet purchased- Amount of sheet used

= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft

So, the worth of the remaining sheet 6.7 sq ft is $183.

⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft

or,
`x = (183)/(6.7)  = 27.31`

or x = $27.31

Hence, the Per sq ft of sheet costs $ 27.31.