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8 February, 20:27

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 75 kilograms. A delivery of 9 large boxes and 7 small boxes has a total weight of 171 kilograms. How much does each type of box weigh?

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  1. 8 February, 21:52
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    3L + 5S = 75

    9L + 7S = 171

    12L + 12S = 246

    12L = 246 - 12S

    L = 20.5 - S

    3 (20.5 - S) + 5S = 75

    60.5 - 3S + 5S = 75

    2S = 13.5

    S = 6.75

    3L + 5 (6.75) = 75

    3L + 33.75 = 75

    3L = 41.25

    L = 13.75
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