A coffee distributor needs to mix a(n) Kona coffee blend that normally sells for $12.00 per pound with a Organic Free Trade coffee blend that normally sells for $15.00 per pound to create 20 pounds of a coffee that can sell for $14.25 per pound. How many pounds of each kind of coffee should they mix?

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raphealnwobi raphealnwobi · Answer 1 · 2022-03-07T10:38:00+01:00

The coffee distributor mixed 5 pounds of Kona coffee with 15 pounds of trade coffee.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of Kona coffee and y represent the amount of trade coffee, hence:

x + y = 20 (1)

Also:

12x + 15y = 20(14.25) (2)

From both equations:

x = 5, y = 15

The coffee distributor mixed 5 pounds of Kona coffee with 15 pounds of trade coffee.

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