Answer:
Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.
Step-by-step explanation:
1. Let's review the information given to us to answer the problem correctly:
Number of pounds of the coffee blend = 25
Cost of Kona beans = US$ 15 per pound
Cost of Maui beans = US$ 24 per pound
Cost of the coffee blend = US$ 17.70 per pound
2. How many pounds of each coffee bean should Kaapo use for his blend to cost him $17.70 per pound?
Let's build our equation to answer the question, this way:
x = Number of pounds of Kona beans for Kaapo's blend
25 - x = Number of pounds of Maui beans for Kaapo's blend
Number of pounds of Kona beans for Kaapo's blend * Cost of Kona beans + Number of pounds of Maui beans for Kaapo's blend * Cost of Maui beans = Number of pounds of the coffee blend * Cost of the coffee blend
Replacing with the real values, we have:
15x + 24 (25-x) = 17.70 * 25
15x + 600 - 24x = 442.50
-9x = 442.50 - 600
-9x = -157.50
x = -157.50/-9
x = 17.50 ⇒ 25 - x = 7.50
Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.
