The Coffee Counter charges ​$9.00 per pound for Kenyan French Roast coffee and ​$13.00 per pound for Sumatran coffee.

Question

How much of each type should be used to make a 14 pound blend that sells for ​$11.00 per​ pound?

mixed problem

Answer 1

X+Y = 14

9X + 13Y = 14*11 = 154

9x + 13 * (14 - x) = 154

9x + 182 - 13x = 154

-4x = -28

x = 7 ---> y= 7

7 lb of the Kenyan French Roast

7 lb of the Sumatran coffee.