Question

The cost for ground shipping with FedEx and UPS varies. UPS charges $8.25 initially, and then $0.20 per pound. FedEx initially charges $9.50 and then $0.16 per pound. Write the equation to find the number of pounds when the costs of shipping with UPS and FedEx are the same. (Let the number of additional pounds =x.)

Answer 1

To find the number of pounds when the costs of shipping with UPS and FedEx are the same, set up an equation and solve for x. The number of additional pounds is 31.25.

To find the number of pounds when the costs of shipping with UPS and FedEx are the same, we can set up an equation. Let x represent the number of additional pounds. The cost for shipping with UPS can be represented as $8.25 + $0.20x, while the cost for shipping with FedEx can be represented as $9.50 + $0.16x. To find when the costs are the same, we can set the two expressions equal to each other and solve x

$8.25 + $0.20x = $9.50 + $0.16x

$0.20x - $0.16x = $9.50 - $8.25

$0.04x = $1.25

x = $1.25 / $0.04

x = 31.25

Therefore, when the costs of shipping with UPS and FedEx are the same, the number of additional pounds is 31.25.