At Whole foods they mix two kinds of nuts: peanuts which cost $2.50 per kilogram and walnuts which cost $4.50 per kilogram how many kilogram

Question

At Whole foods they mix two kinds of nuts: peanuts which cost $2.50 per kilogram and walnuts which cost $4.50 per kilogram how many kilograms of walnuts are needed to make 100 kg of a mix worth $3.24 per kilogram

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Caroline 2 months 2021-10-14T21:54:10+00:00 1 Answer 0 views 0

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    2021-10-14T21:56:07+00:00

    Answer: 37 kilograms of walnuts should be mixed.

    Step-by-step explanation:

    Let x represent the number of kilograms of peanuts needed to make the mixture.

    Let y represent the number of kilograms of walnut needed to make the mixture.

    The mixture to be made is 100 kg. It means that

    x + y = 100

    The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is

    3.24 × 100 = $324

    peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that

    2.5x + 4.5y = 324- – – – – – – – – -1

    Substituting x = 100 – y into equation 1, it becomes

    2.5(100 – y) + 4.5y = 324

    250 – 2.5y + 4.5y = 324

    – 2.5y + 4.5y = 324 – 250

    2y = 74

    y = 74/2 = 37

    x = 100 – y = 100 – 37

    x = 63

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