Question

UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for the first pound, $2.00 for second pound, and $0.25 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

____ p + 1 + ____ = ____ p + ____ + 4 (fill the correct spaces with 0.15, 0.25, 2, 6)

Answer 1

The two costs will be the same at 12 pounds.

Explanation:

Let p be the number of additional pounds.

UPS cost = 7 + 0.15p

FedEx cost = 6 + 0.25p

Make them equal

7 + 0.15p = 6 + 0.25p

0.10p = 1

p = 10

So, total weight for the cost to be equal is 12.

UPS Cost = 8.50

FedEx Cost = 8.50