A coffee distributor needs to mix a(n) House coffee blend that normally sells for $10.50 per pound with a Kenya coffee blend that normally s

Question

A coffee distributor needs to mix a(n) House coffee blend that normally sells for $10.50 per pound with a Kenya coffee blend that normally sells for $12.80 per pound to create 40 pounds of a coffee that can sell for $10.67 per pound. How many pounds of each kind of coffee should they mix?

Answer: They must mix
______pounds of the House Blend
______pounds of the Kenya Blend.
Round your answers to the nearest whole number of pounds.

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Ivy 2 weeks 2021-09-15T03:24:45+00:00 1 Answer 0

Answers ( )

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    2021-09-15T03:26:09+00:00

    Answer:

    They must mix

    37 pounds of the House Blend

    3 pounds of the Kenya Blend.

    Step-by-step explanation:

    Let ‘x’ be House coffe and ‘y’ be Kenya Coffee. Then:

    10.50x + 12.80y = 10.67(40)

    Also, we knw that:

    x + y = 40

    Solving the system of equations above, we have that:

    x ≈37.0435 ≈ 37 pounds

    y ≈2.95652 ≈ 3 pounds

    They must mix

    37 pounds of the House Blend

    3 pounds of the Kenya Blend.

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