13. Your business needs to ship a package to another store. Company A charges $2.50 per pound plus a
$20 service charge. Company B charges $4.50 per pound without any service charge.
a. At what weight does it cost the same for both companies?

Respuesta :

For 10 pounds, both companies cost the same

Solution:

Let "x" be the pounds

Company A charges $2.50 per pound plus a  $20 service charge

Cost : 2.50x + 20 ------ eqn 1

Company B charges $4.50 per pound without any service charge

Cost : 4.50x ------- eqn 2

At what weight does it cost the same for both companies?

For both companies to cost the same, eqn 1 must be equal to eqn 2

2.50x + 20 = 4.50x

4.50x - 2.50x = 20

2x = 20

Divide both sides by 2

x = 10

Thus for 10 pounds, both companies cost the same