Question

10. A delivery company charges a flat fee of $10and an extra $2 per pound. If a package cost $32to ship, How much did the package weigh?

Answer 1

Let's use the variable 'x' to represent the weight of the package in pounds.

If the cost is $10 plus an extra $2 per pound, the cost can be written as:

$C=10+2x$

( C = 10 + 2x )

Then, if the cost of the package is 32, we have that:

$\begin{gathered} 32=10+2x \\ 2x=32-10 \\ 2x=22 \\ x=11 \end{gathered}$

( 32 = 10 + 2x

2x = 32 - 10

2x = 22

x = 11 )

So the package has 11 pounds.