To make 10 servings of soup you need 4 cups of broth. You want to know how many servings you can make with 8 pints of broth. What proportion should you use?
So the given ratio
and the desired
If the number of servings per cups is denoted as
and the number of servings per pint is denoted as
The ratio could be expressed
We are mixing units of measurement. To make the calculation more straight forward lets use pints through out. This means we have to determine how many pints are in 4 cups.
Assumption: 2 cups have the same volume as 1 pint.
So by ratio we have:
So for 4 cups:
Thus 4 cups is the same volume as 2 pints:
Let the unknown count of servings be
Multiply both sides by 8