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29 June, 11:33

A fruit company has two types of boxes, large and small. A deliver of 3 large boxes and 2 small boxes weighs a total of 73 kilograms. A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms. How much does each type of box weigh?

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  1. 29 June, 11:36
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    The answer to your question is the small box weighs 13.25 kg and the

    large box weigh 15.5 kg

    Step-by-step explanation:

    Data

    small box = s

    large box = l

    3 large boxes and 2 small boxes = 73 kg

    8 large boxes and 4 small boxes = 177 kg

    Process

    1. - To solve this problem write equations

    3l + 2s = 73 Equation l

    8l + 4s = 177 Equation ll

    2. - Solve the system of equations by elimination (multiply equation l by - 2). And add the equations.

    -6l - 4s = - 146

    8l + 4s = 177

    2l = 31

    l = 31/2

    l = 15.5 kg

    3. - Find s

    3 (15.5) + 2s = 73

    46.5 + 2s = 73

    2s = 73 - 46.5

    2s = 26.5

    s = 26.5/2

    s = 13.25 kg
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