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11 March, 20:40

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?

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  1. 11 March, 22:59
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    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.
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