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

Answer:

$x = \frac{183}{6.7}$  is the required equation.

The  Per sq ft of sheet costs $ 27.31.

Step-by-step 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, $x = \frac{183}{6.7}  = 27.31$

or  x = $27.31

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