Question

AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. At what weight (ounces ) are the two companies the same?

Answer 1

AAA Packages Plus and United Packages charge the same amount when the package weight is 30 ounces.

Step-by-step explanation:

To find the weight at which AAA Packages Plus and United Packages charge the same amount, we can set up an equation. Let x represent the weight in ounces:

AAA Packages Plus: Cost = $5 + $0.25x

United Packages: Cost = $2 + $0.35x

Setting the two costs equal to each other, we have:

$5 + $0.25x = $2 + $0.35x

Now, we can solve for x:

$5 - $2 = $0.35x - $0.25x

$3 = $0.1x

x = 30

Therefore, the two companies charge the same amount when the package weight is 30 ounces.