Kaapo is mixing Kona beans and Maui beans to make 25 pounds of coffee blend. Kona beans cost Kaapo $15 per pound and Maui beans cost $24 per pound. How many pounds of each coffee bean should Kaapo use for his blend to cost him $17.70 per pound?

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.