Question

A recipe that yields 12 cups of soup calls for 28ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?

Answer 1

We will ratio to solve this problem.
Given the first information, we know that for 12 cups of soup, there are 28 oz of beef broth. This can be expressed as 28/12.

With the second information, we know that for 18 cups of soup, there is x amount of beef broth. This can be expressed as x/18
In this case, x stands for broth.

Because these are ratios, we know they will equal each other. We can set up this as an equation.
28/12=x/18
Solve for x
28/12=x/18
28/12 can be simplified to 7/4
7/4 • 18= x
126/4 = x
31.5= x
ANSWER:
31.5 oz of beef broth is needed to make 18 cups of soup