A coffee distributor needs to mix a(n) House coffee blend that normally sells for $10.50 per pound with a Kenya coffee blend that normally sells for $12.80 per pound to create 40 pounds of a coffee that can sell for $10.67 per pound. How many pounds of each kind of coffee should they mix?Answer: They must mix______pounds of the House Blend______pounds of the Kenya Blend.Round your answers to the nearest whole number of pounds.

Answer:They must mix 37 pounds of the House Blend 3 pounds of the Kenya Blend.Step-by-step explanation:Let 'x' be House coffe and 'y' be Kenya Coffee. Then:10.50x + 12.80y = 10.67(40)Also, we knw that: x + y = 40Solving the system of equations above, we have that:x ≈37.0435 ≈ 37 poundsy ≈2.95652 ≈ 3 poundsThey must mix 37 pounds of the House Blend 3 pounds of the Kenya Blend.