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12 September, 02:44

When a jug is 1/5 full and it weighs 250 grams next it 4/5 full and weighs 550 grams what is the weight of the jug?

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  1. 12 September, 03:03
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    X=weight of the jug

    y=witht of liquid when the jug is full

    we suggest this system of equations:

    x+y/5=250

    x+4y/5=550

    we solve this system of equations by equalization method.

    x=250-y/5

    x=550-4y/5

    250-y/5=550-4y/5

    least common multiple=5

    1250-y=2750-4y

    -y+4y=2750-1250

    3y=1500

    y=1500/3

    y=500

    x=250-y/5

    x=250-500/5

    x=250-100

    x=150

    Answer: weight of the jug = 150grams.
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