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17 February, 06:57

How many pounds of mixed nuts that contain 70% peanuts must Shannon add to 15 pounds of mixed peanuts that contain 20% peanuts to make a mixture with 40% peanuts

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  1. 17 February, 08:34
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    10 pounds.

    Step-by-step explanation:

    Let x pounds be the amount of mixed nuts we require.

    Amount of peanuts in this mix = 0.70x pounds. Amount of peanuts in the 20% mix = 0.20*15 = 3 pounds.

    So we have the equation:-

    0.70 x + 3 = 0.40 (x + 15)

    0.70 x + 3 = 0.40 (x + 15)

    0.70x + 3 = 0.40x + 6

    0.70x - 0.40x = 6 - 3

    0.30x = 3

    x = 10.
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