Amy operates a coffee kiosk and is blending her special house coffee. She is mixing Kenya beans that cost $9.00 per pound with Colombia

beans that cost $7.50 per pound to create a 30 pound blend that sells for $8.50 per pound. How many pounds of Kenya beans and how many

pounds of Colombia beans does Amy need to use to create her blend?

20 pounds of Kenya beans and 10 pounds of Columbia beans.

Step-by-step explanation:

Let x represent pounds of Kenya beans and y represent pounds of Columbia beans.

We have been given that Amy wants to create 30 pounds of blend. We can represent this information in an equation as:

We are also told that Amy is mixing Kenya beans that cost $9.00 per pound with Colombia  beans that cost $7.50 per pound to create a 30 pound blend that sells for $8.50 per pound. We can represent this information in an equation as:

From equation (1), we will get:

Substituting this value in equation (2), we will get:

Therefore, Amy needs 10 pounds of Columbia beans to create her blend.

Now, we will substitute in equation (1) as:

Therefore, Amy needs 20 pounds of Kenya beans to create her blend.