Answer:
7 pounds of Ground Chicory
5 pounds of Jamaican Blue Mountain
Step-by-step explanation:
Total pounds of coffee = 12 pounds
Cost of the final mixture per pound = $ 6.25
Since the cost per pound is $ 6.25, the cost for 12 pounds would be $ 6.65(12)
Let Joseph blends "x" pounds of Ground Chicory at $4.40 per pound. Since, the cost of Ground Chicory per pound is $ 4.40, for x pounds the cost would be $ 4.40x
Total amount is 12 pounds from which x pounds is Ground Chicory. So, the remaining amount (12 - x) pounds will be the Jamaican Blue Mountain at $8.84 per pound. Since, the cost of Jamaican Blue Mountain per pound is $ 8.84, for (12 - x) pounds the cost would be $ 8.84(12 - x)
Total cost of the two coffees must be equal to the cost of the final mixture.
So,
Cost of Ground Chicory + Cost of Jamaican Blue Mountain = Cost of Final Blend
Using the values in this equation, we get:
4.40x + 8.84(12 - x) = 6.25(12)
4.40x + 106.08 - 8.84x = 75
-4.44x = 75 - 106.08
- 4.44x = - 31.08
x = 7
Since, x represents the amount of Ground Chicory, we can conclude that 7 pounds of Ground Chicory should be used and 12 - 7 = 5 pounds of Jamaican Blue Mountain should be used to make the desired blend.
