An apple farmer is deciding how to use each day’s harvest. An apple farmer is deciding how to use each day’s harvest. She can use the harvest to produce apple cider or apple juice for the apple festival in two weeks. The information she uses to make the decision is listed below. 1 bushel of apples will make 20 quarts of apple cider. 1 bushel of apples will make 15 quarts of apple juice. The apple farmer collect 18 bushels of apples. Today the apple farmer needs to produce a total of 330 quarts.

Part A - The information given can be modeled with a system of equations. Define your x and y variables represent in this situation.

Part B- The information given can be modeled with a system of equations. Write two different equations that can be used to model the situation. Explain what each equation represents.

Part C- Use the equations in Part B to determine the number of bushels that were used to make apple cider and were used to make apple juice. Show or explain your work.


Part D- explain what the result in Part C means in context of the situation.