By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats cupcakes and slices of pizza, he or she takes in 82 mg of cholesterol. By eating eggs and 1 cupcake, a child consumes 568 mg of cholesterol. How much cholesterol is in each item?
+1622 e = amount of cholestrol in an egg
c = amount of cholestrol in a cupcake
p = amount of cholestrol in a slice of pizza
e + c + p = 300
Since cupcakes is plural, I will assume cupcakes = 2 "cupcake"
2c + p = 82
2e + c = 568
Adding both of those two equations together, we get
2e + 3c + p = 650
Subtracting the first equation from our new equation, I obtain
e + 2c = 350.
Using elimination, I get
3e = 786
e = 262
c = 44
