Nancy and Warren are making large pots of chicken noodle soup. Nancy opens 4 large cans and 6 small cans of soup and pours them into her pot. Her pot

Dillard

Dillard

Answered question

2021-02-25

Nancy and Warren are making large pots of chicken noodle soup. Nancy opens 4 large cans and 6 small cans of soup and pours them into her pot. Her pot contains 115 ounces of soup. Warren opens 3 large cans and 5 small cans of soup. His pot contains 91 ounces of soup. How many ounces of soup does each large can and each small can contain?

Answer & Explanation

ensojadasH

ensojadasH

Skilled2021-02-26Added 100 answers

Let l be the number of ounce of soup in the large can and s be the number of ounce of soup in the small can.
4 large cans and 6 small cans of soup is equal to 115 ounces of soup:

41+6s=115

3 large cans and 5 small cans of soup is equal to 91 ounces of soup:

3l+5s=91

Solve by elimination. Here, I eliminated first. Multiply (1) by 5 to obtain (3):

20l+30s=575

Multiply (2) by 6 to obtain (4):

18l+30s=546

Subtract each sides of (3) and (4) and solve for l:

2l=29

l=14.5

Solve for 2 using (1):

4(145)+6s=115

58+6s=115

6s=57

s=9.5

So, a large can contains 14.5 ounces of soup and a small can contains 9.5 ounces of soup.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Explanation

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?