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Two bags had 100 kilograms of sugar each. after taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. how much sugar is left in each bag?

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  1. 16 July, 03:33
    0
    Bag one 40 bag two 80
  2. 16 July, 03:43
    0
    According to the given statement, we can get the equation:

    50 - 3x = 1/2 (50-x)

    where x = amount removed from bag two, 3x removed from bag one

    Then we multiply both sides by 2 (to eliminate the ½)

    100-6x = 50-x

    Add 6x to both sides

    100 = 50-5x

    Then subtract 50 from both sides

    50=5x

    Lastly, divide by 5

    10=x

    Therefore 10 kg of sugar was removed from bag 2

    further, 3x = 30, so 30 kg of sugar was removed from bag 1.

    50-30=20 kg remaining in bag 1.

    50-10=40 kg remaining in bag 2.
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