solving applied problems

Question

by eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. if the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 85 mg of cholesterol. by eating 2 eggs and 1 cupcake, a child consumes 567 mg of cholesterol. how much cholesterol is in each item?

Answer 1

E+C + P = 300

3C + 4P = 85

2E + C = 567P

C and P look relatively small in cholesterol content

E has most of the 300 mg, maybe 250 or more

solve the above 3 equations, and you get

C=19

P=7

E = 274