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 us
e 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.
For this item, we let x and y be the number of bushels of apple that will be used to produce apple cider and apple juice, respectively. The situation above is best represented by the following equations, x + y = 18 20x + 15y = 330 The values of x and y from the equations above are 12 and 6, respectively. Therefore, 12 bushels will be used to make apple cider and 6 bushels will be used to make apple juice.
