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23 January, 19:14

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 pounds. The truck is transporting 70 large boxes and 55 small boxes. If the truck is carrying a total of 3975 pounds in boxes, how much does each type of box weigh?

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  1. 23 January, 20:41
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    The small box weights 15 pounds, and the large box weights 45 pounds.

    Step-by-step explanation:

    1. Let's review all the information given to answer the question correctly:

    Weight of small and large box combined = 60 pounds

    Truck is transporting 70 large boxes and 55 small boxes

    Total weight of the boxes the truck is carrying = 3,975 pounds

    2. How much does each type of box weigh?

    Weight of the small box = x

    Weight of the large box = 60 - x

    For solving the value of x, we use the following equation:

    70 * (60 - x) + 55 * x = 3,975

    4,200 - 70x + 55x = 3,975

    - 15x = 3,975 - 4,200 (Like terms)

    - 15x = - 225

    x = 15 (Dividing by 15 at both sides)

    The small box weights 15 pounds, therefore the large box weights 45 pounds (60 - 15).
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