Question

A recipe for chicken soup calls for 4 cups of water for 9 servings. How many servings can be made with 12 pints of water?

Answer 1

See a solution process below:

Explanation:

First, let's convert the pints to cups:

The relationship between pints and cups is:

`1" pint" = 2" cups"`

To find how many cups in 12 pints we can multiply each side of the relationship by `color(red)(12)` giving:

`color(red)(12) xx 1" pint" = color(red)(12) xx 2" cups"`

`12" pint" = 24" cups"`

From the problem we know 4 cups results in 9 servings for which we can write a relationship as:

`4" cups" = 9" servings"`

Or

`(4" cups")/color(red)(4) = (9" servings")/color(red)(4)`

`1" cups" = 9/4" servings"`

To find the number of servings in 24 cups we can multiply each side by `color(red)(24)` giving:

`color(red)(24) xx 1" cups" = color(red)(24) xx 9/4" servings"`

`24" cups" = cancel(color(red)(24))color(red)(6) xx 9/color(red)(cancel(color(black)(4)))" servings"`

`24" cups" = 54" servings"`

Therefore a recipe made with 12 pints of water will provide 54 servings.