Answer:
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.
