A coffee distributor needs to mix a(n) Gazebo coffee blend that normally sells for $10.20 per pound with a Kona coffee blend that normally sells for $12.20 per pound to create 70 pounds of a coffee that can sell for $10.91 per pound. How many pounds of each kind of coffee should they mix

Let x represent pounds of Gazebo coffee and y represent pounds of Kona coffee.  

We are told that a coffee distributor wants 70 pounds of coffee. We can represent this information in an equation as:

We have been given that Gazebo coffee blend sells for $10.20 per pound, so cost of x pounds of Gazebo coffee would be .

Kona coffee blend sells for $12.20 per pound, so cost of y pounds of Kona coffee would be .

Cost of 70 pounds of a coffee that can sell for $10.91 per pound would be .

Upon substituting equation (1) in equation (2), we will get:

Therefore, distributor should use 45.15 pounds of Gazebo coffee.

Upon substituting in equation (1), we will get:

Therefore, distributor should use 24.85 pounds of Kona coffee.

the first option is the answer.

5 + 8 +7 + 4 + 0 +1 = 25

step-by-step explanation: