Question

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Edwin is going to ship some gifts to family members, and he is considering two shipping companies. The first shipping company charges a fee of $11 to ship a medium box, plus an additional $6 per kilogram. A second shipping company charges $15 for the same size of box, plus an additional $4 per kilogram. At a certain weight, the two shipping methods will cost the same amount. What is that weight? How much will it cost?


At a weight of ___ kilograms, the two shipping methods both cost $___
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Answer 1

ok let's see if I can answer this for you

Explanation:

Edwin is considering two shipping companies to ship some gifts to family members. The first company charges a fee of $11 to ship a medium box and an additional $6 per kilogram. The second company charges $15 for the same size of the box and an additional $4 per kilogram. At a certain weight, the two shipping methods will cost the same amount. To find that weight, we can write two equations and solve them using substitution. Let’s call the weight of the package “w” in kilograms. Then the cost of the first company is 6w + 11 dollars and the cost of the second company is 4w + 15 dollars. We can set these two expressions equal to each other and solve for w:

6w + 11 = 4w + 15

2w = 4

w = 2

So at a weight of 2 kilograms, both shipping methods will cost $23.