Algebra help!!! Part C

Question

Use the equations in part B to determine the number of bushels that were used to make Apple cider and were were used to make Apple juice . Explain your work.

An Apple farmer is deciding how to use each days 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 makes the decision is listed below .

1 bushel of Apple labor will make 20 quarts of Apple cider .

1 bushel of f apples will make 15 quarts of Apple juice.

the Apple farmer collects 18 bushel of apples . 

Today the farmer needs to produce a total of 330 quarts

Answer 1

You would use a system of equations:

X + Y = 18

20X + 15Y = 330

X = 18-Y

20(18-Y) + 15Y = 330

360 (- 20Y +15Y) = 330 Combine Like Terms

360 - 5Y = 330 Substract both sides by 360

-5Y = -30 Solve for Y

Y = 6

X + 6 = 18

X = 12