Question

The Coffee Counter charges ​$11

per pound for Kenyan French Roast coffee and ​$10

per pound for Sumatran coffee.
How much of each type should be used to make a 20 pound blend that sells for ​$10.60

per​ pound?

Answer 1

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Explanation:

if you use x pounds of Kenyan French Roast coffee and y pounds of Sumatran coffee then you know that

11x + 10y = 10.6 * 20

x+y=20

10x+10y=200

11x+10y=212

x=12

y = 20-x = 20-12 = 8

so you want to use

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee