Question

A contractor brought 10.8 ft^2 of sheet metal. She has used 3.7 ft^2 so far and has $127.80 worth of sheet metal remaining. The equation 10.8x-3.7x=127.8 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

Answer:

$\ 18$

Step-by-step explanation:

Let the cost of sheet metal per square feet be $x$

Amount of sheet metal bought is $10.8\ \text{ft}^2$

Amount of sheet metal used is $3.7\ \text{ft}^2$

Remaining value of the sheet metal is $\ 127.8$

So we get the equation

$10.8x-3.7x=127.8\\\Rightarrow 7.1x=127.8\\\Rightarrow x=\dfrac{127.8}{7.1}\\\Rightarrow x=18$

So, cost of sheet metal per square feet is $\ 18$.