# 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?

##### 2 Answers

see below

#### Explanation:

Remember

or (equivalently)

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

#### Explanation:

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:

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Let the unknown count of servings be

Multiply both sides by 8