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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 8 servings of soup that will have 29 g of fat and 120 mg of cholesterol. How many cups of each soup should be used?

Respuesta :

Answer:

6 cups of  Campbell's Chunky Beef soup and 2 cups of Campbell's Chunky Sirloin Burger soup should be used.

Explanation:

Let the cups of Campbell's Chunky Beef soup be x

Let the cups of Campbell's Chunky Sirloin Burger soup be y

Total servings or cups required = 8 cups

[tex]x + y=8[/tex]...(1)

1 cup of Campbell's Chunky Beef soup contains 2.5 g of fat and 15 mg of cholesterol.

Then in x cups of Campbell's Chunky Beef soup have: x(2.5 g+15 mg)

1 cup of Campbell's Chunky Sirloin Burger soup contains 7 g of fat and 15 mg of cholesterol.

Then in y cups of Campbell's Chunky Beef soup have: y(7 g+15 mg)

Total servings or cups must have 29 g of fat and 120 mg of cholesterol.

[tex]x\times (2.5 g+15 mg)+y\times (7 g+15 mg) =29 g+ 120 mg[/tex]

1 mg = 0.001 g

[tex]2.515x+7.015y=29.120 g[/tex]...(2)

On solving equation (1)& (2) we get;

x = 6 , y = 2

6 cups of  Campbell's Chunky Beef soup and 2 cups of Campbell's Chunky Sirloin Burger soup should be used.

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