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 20 servings of soup that will have 113 g of fat and 300 mg of cholesterol. How many cups of each soup should be used? beef cups burger cups

Question

Davis Owen

Mathematics

1 September, 11:46

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 20 servings of soup that will have 113 g of fat and 300 mg of cholesterol. How many cups of each soup should be used? beef cups burger cups

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Answers (1)

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Abraham · Answer 1

b = 14 bowls of CCSB soup.

a = 6 bowls of CCB soup

Step-by-step explanation:

1 CCB contains = 2.5a+15a

1 CCSB contains 7b + 15b

On combining 20 servings of 113c + 300c of Soups.

So,

2.5a+7b = 113, (multiply by 6) ... A

15a+42b = 678 ... 1

15a+15b = 300 ... 2

Solving, 1 and 2 equation

we get

b = 14 bowls of CCSB soup.

putting b value in equation A we get

a = 6 bowls of CCB soup