Q:

The Coffee Counter charges $10 per pound for Kenyan French Roast coffee and $9 per pound for Sumatran coffee.How much of each type should be used to make a 20 pound blend that sells for $ 9.50 per pound?​

Accepted Solution

A:
Answer:10 pounds of eachStep-by-step explanation:If K is the amount of Kenyan French Roast coffee, and S is the amount of Sumatran coffee, then the total amount is:K + S = 20And the total cost is:10K + 9S = 9.5Γ—2010K + 9S = 190Solving the system of equations, let's substitute:10K + 9(20 βˆ’ K) = 19010K + 180 βˆ’ 9K = 190K = 10S = 20 βˆ’ KS = 1010 pounds of Kenyan French Roast and 10 pounds of Sumatran coffee should be used to make a 20 pound blend worth $9.50 per pound.