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26 November, 01:46

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?

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  1. 26 November, 03:35
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    Large box = 31/2 = 15.5 kgs

    Small box = 27/2 = 13.5 kgs.

    Step-by-step explanation:

    Let x be large box

    Let y be small box

    5x + 3y = 118

    5x = 118 - 3y

    x = 118/5 - 3/5y

    2x + 12y = 193

    2 (118/5 - 3/5y) + 12y = 193

    y = 27/2 = small box

    Large box

    5x + 3 (27/2) = 118

    x = 31/2 = large box
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