Q:

Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.00 per pound with French Roast Columbian coffee that cost $8.20 per pound to make a 12-pound blend. Their blend should cost them $8.10 per pound. How much of each type of coffee should they buy?

Accepted Solution

A:
Answer:The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.Step-by-step explanation:Letx ----> the number of pounds of a City Roast Columbian coffeey ---> the number of pounds of a French Roast Columbian coffeewe know that[tex]x+y=12[/tex] -----> equation A[tex]7x+8.20y=8.10(12)[/tex] ----> equation BSolve the system of equations by graphingThe solution is the intersection point both graphsThe solution is the point (1,11)thereforeThe number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.