Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.00 per pound w

Question

3 years ago

15

Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.00 per pound w

ith 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?

Mathematics

1 answer:

Tcecarenko [31] · Answer 1 · 2022-01-17T19:00:11+03:00

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:

Let

x ----> the number of pounds of a City Roast Columbian coffee

y ---> the number of pounds of a French Roast Columbian coffee

we know that

$x+y=12$ -----> equation A

$7x+8.20y=8.10(12)$ ----> equation B

Solve the system of equations by graphing

The solution is the intersection point both graphs

The solution is the point (1,11)

therefore

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.