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23 December, 08:45

A candy store sells walnuts for $8 per pound, and pecans for $2 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with two pounds of walnuts?

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  1. 23 December, 10:36
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    Answer: 1/3 pound pecans and 2/3 pound walnuts.

    Explanation:

    x = = > weight of walnuts

    y = = > weight of pecans

    ║ x + y = 1

    ║ 8x + 2y = 6

    ║ x = 1 - y

    ║ 8x + 2y = 6

    8 (1 - y) + 2y = 6

    8 - 8y + 2y = 6

    6y = 2

    y = 1/3

    x = 1 - 1/3 = 2/3
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