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Algebra

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A grocer mixes together some cashews costing 8$ per kilogram with some nuts costing 10$ per kilogram. The grocer sold 12 kg of the mixture for 8.50$ per kilogram. How many kilograms of cashews were in the mixture?

I have to find 2 equations then find the answer most likely using substitution.

thanks:)

  • Algebra - ,

    help please:)!!

  • Algebra - ,

    NeverMind!!

  • Algebra - ,

    In case anyone's wondering:

    c= kg of cashews
    n= kg of nuts

    12 kg of $8.5 is $102
    We can say that:
    8c + 10n = 102
    (first equation)
    And also:
    c + n = 12
    (second equation)
    We isolate a variable in the second equation:
    n = 12 - c

    Plug that into the first equation:
    8c + 10(12 - c) = 102
    Simplify:
    8c + 120 - 10c = 102
    Simplify:
    -2c = -18
    2c = 18
    c = 9
    Now that we know the value of c, we can plug that into the second equation to find the value of n.
    9 + n = 12
    n = 12 - 9
    n = 3

    FINAL ANSWER:
    3 kg of nuts, 9 kg of cashews

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