A recipe for 12 servings of soup calls for 8 cups of chicken broth. How many cups of broth are needed to make 30 servings of the soup?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the statement:
A recipe for 12 servings of soup calls for 8 cups of chicken broth.
Determine how many cups of broth are needed to make 30 servings of soup.
Solution:
Notice that there is a proportion between the servings of soup to the number of cups, which is 12:8. This can be represented in lowest term as,
3:2
Where we divide the number 4 to the given.
Since we are asked to find how many cups of broth is needed, we divide 30 by 3, and then multiply it by 2, basing on the proportion.
= 30/3
= (10)(2)
= 20
Final answer:
20 cups of broth are needed.