Question

UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound.

UPS=FedEx

7+0.20p=5+0.30p


1) How many additional pounds, p, will it take for UPS and FedEx to cost the same?
pounds

2) What is the cost? $

Answer 1

Here, we are required to determine how many additional pounds, p, will it take for UPS and FedEx to cost the same pounds and what the cost is.

It takes 20 additional pounds for UPS and FedEx to cost the same pounds

The cost is $11 in dollar equivalent

• UPS charges $7 for the first pound and $0.20 for each additional pound;
• i.e 7+0.20p
• FedEx charges $5 for the first pound and $0.30 for each additional pound;
• i.e 5+0.30p

Therefore, to determine when FedEx costs the same as UPS

• By equation both expressions;
• 7+0.20p=5+0.30p
• 2 = 0.10p
• Therefore, P= 20pounds.

Therefore, it takes 20 additional pounds for ups and FedEx to cost the same pounds

B. The cost in dollars,$ can be calculated from either of FedEx or UPS;

• Using UPS, where Cost = 7 + 0.20p

• Cost = 7+0.20(20)= $11

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