SOLUTION: A preschool has Campbell's Chunky Beef soup, which contains 2.5 g of fat and 15 mg of cholesterol per serving (cup), and Campbell's Chunky Sirloin Burger soup, which contains 7 g o

Algebra ->  Matrices-and-determiminant -> SOLUTION: A preschool has Campbell's Chunky Beef soup, which contains 2.5 g of fat and 15 mg of cholesterol per serving (cup), and Campbell's Chunky Sirloin Burger soup, which contains 7 g o      Log On


   

Question 1167033: A preschool has Campbell's Chunky Beef soup, which contains 2.5 g of fat and 15 mg of cholesterol per serving (cup), and Campbell's Chunky Sirloin Burger soup, which contains 7 g of fat and 15 mg of cholesterol per serving. By combining the soups, it is possible to get 22 servings of soup that will have 100 g of fat and 330 mg of cholesterol. How many cups of each soup should be used?
beef cups
burger cups
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
F and C
(2.5F+15C)x+(7F+15C)(22-x)=100F+330C
just look at F
x(2.5F)+154F-x(7F)=100F
x(-4.5F)=-54F
4.5x=54
x=12 cups of Beef
22-x=10 cups of Burger
this will yield 22 cups of 100g of fat and 330mg of cholesterol.