A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $ 8$8 a pound should be added to 2020 pounds of coffee worth $ 5$5 a pound to get a mixture worth $ 6$6 a pound?

Incomplete question:

A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $8 a pound should be added to 20 pounds of coffee worth $5 a pound to get a mixture worth $6 a pound?

Answer:

a = 10 pounds

Explanation:

Let, a = pounds of $8 coffee per pound needed

$8a = cost of the $8 coffee/pound used

20 * 5 = cost of $5/pounds coffee for 20 pounds

$100 = cost of $5/pound coffee for 20 pounds

Rate = cost of coffee needed / amount of pounds needed

(8a + 100) / (a + 20) = 6

cross multiply

8a + 100 = 6 (a + 20)

8a + 100 = 6a + 120

8a - 6a = 120 - 100

2a = 20

divide both sides by 2

a = 20/2

a = 10 pounds