SOLUTION: Sarah has 16 pounds of soup that is 1/4 chicken broth. How much chicken broth must she add to increase the chicken broth content to 1/3 ?
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Question 1142037: Sarah has 16 pounds of soup that is 1/4 chicken broth. How much chicken broth must she add to increase the chicken broth content to 1/3 ?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
Broth/soup = 1/4. We are given the soup is 16 lbs., so to get 1/4 broth, that means the broth must be 4 lbs. (Because broth/soup = 4/16 = 1/4.)
To find out how much broth we must add to get a soup that is 1/3 broth:
Broth/soup = (4+x)/(16+x) = 1/3
Cross-multiply:
3(4+x) = 1(16+x)
12 + 3x = 16 + x
2x = 4
x = 2
Sarah must add 2 lbs. of chicken broth. This will give her 6 total lbs. of broth and 18 total lbs. of soup, for a soup that is 1/3 broth.
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