Question

Ellie, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $10 plus $3 per kilogram. The second charges $7 plus $6 per kilogram. Ellie 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?

Answer 1

Answer:

The weight of the package is 1 kilograms.

It will cost  $ 13 by both the couriers services.

Step-by-step explanation:

Let the weight of her package is x kilograms

Now, according to the question:

The charges of first Courier = $10 + $3(x)

and The charges of Second  Courier = $7 + $6(x)

Also, for x  kilograms, both the charges are equal

⇒ $10 + $3(x)   =  $7 + $6(x)

or, 10 + 3x =  7 + 6x

or, 10 -7 = 6x - 3x

⇒ 3x = 3, implies  x = 3/3 = 1

⇒ The weight of the package is 1 kilograms.

It will cost :  10 + 3(1) = $ 13  = 7 + 6(1) by both the couriers services.