SOLUTION: Baker makes large and small cakes. Large cake requires 2 cups of frosting, while small requires 1 cup. How many of each size cake did she make if she made a total of 60 cakes and

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Question 4882: Baker makes large and small cakes. Large cake requires 2 cups of frosting, while small requires 1 cup. How many of each size cake did she make if she made a total of 60 cakes and used 75 cups of frosting?
The answer is 15 large and 45 small. I cannot figure out how to set up problem.
Thank you
P
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of large cakes
y= number of small cakes

x+y = 60
2x +y = 75

Multiply both sides of first equation by -1,
-x - y = -60
2x + y = 75

Add equations:
x = 15 large cakes

Since the total number of cakes is 60, that leaves 45 small cakes.

Check: Total icing = 2(15) + 45 = 75

R^2 at SCC