The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to make a 36 p

Question

The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to make a 36 pound mixture that sells for 5.69 per pound?

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Adeline 2 weeks 2021-11-13T20:21:22+00:00 1 Answer 0 views 0

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    2021-11-13T20:22:56+00:00

    Answer:

    19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

    Step-by-step explanation:

    Given:

    The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.

    Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.

    Let the quantity of cashews be x.

    Let the quantity of brazil nuts be y.

    So, total pound of mixture of nuts:

    x+y=36\\y=36-x\ \ \ .....(1)

    Now, the total price of mixture per pound:

    7.20(x)+4.00(y)=5.69(36)

    7.2x+4y=204.84

    Substituting the value of y from equation (1) we get:

    7.2x+4(36-x)=204.84

    7.2x+144-4x=204.84

    3.2x+144=204.84

    Subtracting both sides by 144 we get:

    3.2x=60.84

    Dividing both sides by 3.2 we get:

    x=19.01.

    The quantity of cashews = 19.01 pound.

    Now, substituting the value of x in equation (1) we get:

    y=36-x\\y=36-19.01\\y=16.99.

    The quantity of brazil nuts = 16.99 pounds.

    Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

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