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

Janet, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $18 plus $1 per pound. The second charges $8 plus $2 per pound. Janet determines that, given her package's weight, the two courier services are equivalent in terms of cost. What is the weight? How much will it cost?


At a package weight of ___ pounds, the two couriers both cost $___.

 Jan 26, 2021
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First courier charge 18  + w       where w = pound weight

Secind courier charge = 8 + 2w        where are they equal?

 

18+w    = 8 + 2w

10 = w                              ten pounds

cost will be   8 + 2(w) = 28 dollars

 Jan 26, 2021

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