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

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

Based on the information given, the cost for ground shipping with FedEx will be 9.50 + 0.16x

The cost for ground shipping with UPS will be 8.25 + 0.20x

Therefore, in order to know the number of pounds when the costs of shipping with UPS and FedEx are the same, we'll have to equate both equations and this will be:

8.25 + 0.20x = 9.50 + 0.16x

Collect like terms

0.20x - 0.16x = 9.50 - 8.25

0.04x = 1.25

x = 1.25/0.04

x = 31.25

Therefore, at 31.25 pounds, the costs of shipping with UPS and FedEx are the same.

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