Question

Write a system of equations to describe the situation below, solve using substitution, and fillin the blanks.Nora, an office manager, needs to find a courier to deliver a package. The first courier she isconsidering charges a fee of $14 plus $5 per kilogram. The second charges $15 plus $4 perkilogram. Nora determines that, given her package's weight, the two courier services areequivalent in terms of cost. What is the weight? How much will it cost?

Answer 1

The first courier service cost is;

`5x+14`

Where, x is the number of kilograms delivered;

The second courier service cost is;

`4x+15`

Equating it, we have;

`\begin{gathered} 5x+14=4x+15 \\ x=1 \end{gathered}`

Thus, the weight that will result in equal cost is 1 kilogram.

And the cost is 5( 1 )+14 = $19