Question

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 collected 18 bushels of apples
- Today the apple farmer needs to produce a total of 330 quarts

The information given can be modeled with a system of equations. Define your x and y variables
x- variable ________
y- variable ________

Write two different equations that can be used to model the situation. (explain what each equation represents)

Equation 1: ___________
Explanation:
Equation 2_____________
Explanation:

Answer 1

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 = 330The 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.

Explanation:

Answer 2

Answer: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.

Explanation: