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? Complete the equation that represents this situation.

Question

Mathematics

Enrique Hernandez

27 July, 10:27

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? Complete the equation that represents this situation.

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Answers (1)

Know the Answer?

Norah Booker · Answer 1

12 pounds

Step-by-step explanation:

We we need to write equations to represent the situation in this problem.

x=weight of package

UPS cost=6+1+0.15 (x-2)

UPS cost=6+1+0.15x-0.3

UPS cost=6.7+0.15x

FedEx cost=4+2+.25 (x-2)

FedEx cost=4+2+0.25x-0.5

FedEx cost=5.5+0.25x

Next, we can set the two equations equal to each other to solve for x.

6.7+0.15x=5.5+0.25x

6.7+0.15x-5.5=5.5+0.25x-5.5

1.2+0.15x-0.15x=0.25x-0.15x

1.2/0.1=0.1x/0.1

x=12

It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.