Answer:
80.2 pounds of cheaper beans and 109.8 pounds of high quality beans.
Step-by-step explanation:
Let x represent pounds of high quality beans and y represent pounds of cheaper bean.
We have been given that Sarah needs to prepare 190 pounds of blended coffee beans. We can represent this information in an equation as:
We are also told that Sarah needs to prepare 190 pounds of blended coffee beans selling for $3.80 per pound. She plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2.5.
We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, Sarah should use 109.8 pounds of high quality beans.
Upon substituting in equation (1), we will get:
Therefore, Sarah should use 80.2 pounds of cheaper beans.