Question

The Coffee Counter charges ​$9.00 per pound for Kenyan French Roast coffee and ​$11.00 per pound for Sumatran coffee.

How much of each type should be used to make a 26 pound blend that sells for ​$10.00 per​ pound?

Answer 1

Let x be the number of pounds of Kenyan coffee and y be the number of pounds of Sumatran coffee. We know that x + y = 26 and 9x + 11y = 260.

Solving the system of equations, we get

x = 14 and y = 12

Therefore, the Coffee Counter should use 14 pounds of Kenyan coffee and 12 pounds of Sumatran coffee to make a 26 pound blend that sells for $10.00 per pound.

To confirm, the average price of the blend is: (9*14 + 11*12) / 26 = 10.00

So the answer is 14,12