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## 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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2021-09-15T03:24:45+00:00
2021-09-15T03:24:45+00:00 1 Answer
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## Answers ( )

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.