Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound. He blends Ground Chicory at $4.40 a

pound with Jamaican Blue Mountain at $8.84 per pound. How much of each type of coffee should he use?

Answer: Ground Chicory: 7 pounds and Jamaican Blue Mountain: 5 pounds

Ground Chicory = 7 pounds and Jamaican Blue Mountain = 5 pounds

Step-by-step explanation:

Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound.

Total cost of 12 pounds of coffee blend = 6.25 * 12 = $75

Ground Chicory = $4.40 per pound

Jamaican Blue Mountain = $8.84 per pound

Total weight of coffee blend = 12 pounds

Total amount of coffee blend = $75

Let the weight of Chicory be 'x'

The weight of Blue mountain be (12 - x)

75 = 4.40x + 8.84 (12-x)

75 = 4.40x + 106.08 + - 8.84x

75 = (4.40x + -8.84x) + 106.08

75 = - 4.44x + 106.08

-4.44x = 75 - 106.08

-4.44x = - 31.08

x = 7 pounds

and (12 - x) = 12 - 7 = 5 pounds

Therefore, Ground Chicory would be used 7 pounds and Jamaican Blue Mountain would be used 5 pounds.