We are given the cost of mailing a DVD by using different packing materials at two companies.
Packing Material
Company A
Company B
Box
$2.25
$2.50 per lb
$8.50 per lb
Envelope
$1.10
$2.50 per lb
$8.50 per lb
We want to find the weight of the DVD with its packing material if the cost of mailing a DVD in an envelope using Company B is equal to the cost of mailing a DVD at Company A. To do so, consider that the cost of mailing a DVD in a box using Company A is equal to the sum of 20.25 and the product of 2.50 multiplied by the weight of the DVD.
Cost in a Box=2.50x +2.25
The cost of mailing a DVD in an envelope using Company B will be equal to the sum of 1.10 and the product of 8.5 multiplied by the weight of the DVD.
Cost in a Envelope=8.50x +1.10
In both expressions, x represents the weight of the DVD. Now, we will equate both expressions and solve it to find the value of x. Let's use inverse operations to isolate the variable on one side of the equation.
