Answer:
Theresa needs 14.3 pounds of Brand A mixed nuts and 13.2 pounds of Brand B mixed nuts.
Step-by-step explanation:
Let A represent the brand A mixed nuts and B represent Brand B mixed nuts.
We have been given that farmer Theresa's Produce Stand sells 27.5 lbs. bags. We can represent this information in an equation as:
We are also told that to make her product she combines Brand A mixed nuts which contain 20% peanuts and Brand B mixed nuts which contain 70% peanuts.
We can represent this information in an expression as:
Since the stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, Theresa needs 13.2 pounds of Brand A mixed nuts.
To find amount of Brand B mixed nuts, we will substitute in equation (1) as:
Therefore, Theresa needs 14.3 pounds of Brand B mixed nuts.