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18 July, 18:55

A fruit company delivers its fruit in two types of boxes : large and small. A delivery of 6 large boxes and 5 small boxes has a total weight of 190 kilograms. A delivery of 2 large boxes and 3 small boxes has a total of 84 kilograms. How much does each type of boxes weigh?

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  1. 18 July, 18:57
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    4 large and 8 small weigh 113kg

    so

    2 large and 4 small weigh 56.5 kg

    but

    2 large and 3 small weigh 50 kg

    so taking the difference

    1 small weighs 56.5 - 50 = 6.5 kg.

    Substitute:

    2 large and 3 small weight 50 kg

    2 large weigh 50 - 3*6.5 = 50 - 19.5 = 30.5 kg

    1 large weighs 15.25 kg
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