Question

A cookie recipe calls for 3/4 of a cup of flour and makes 2dozen cookies. How many cookies can Julia make if she has 12cups of flour and wants to use it all

Answer 1

Given that 3/4 of a cup of flour is used to cook 2 dozen cookies,

`(3)/(4)\text{ cup of flour}\equiv2\text{ dozen cookies}`

Consider the conversion,

`1\text{ dozen}=12\text{ units}`

So it follows that,

`(3)/(4)\text{ cup of flour}\equiv2\cdot12=24\text{ cookies}`

Multiply both sides by 4/3 as follows,

`\begin{gathered} (3)/(4)\cdot(4)/(3)\text{ cups of flour}\equiv24\cdot(4)/(3)\text{ cookies} \\ 1\text{ cup of flour}\equiv32\text{ cookies} \end{gathered}`

So, 32 cookies can be cooked using 1 cup pf flour.

Given that Julia has 12 cups of flour, so the number of cookies that she can cook, is calculated as,

`12\text{ cups of flour}\equiv32\cdot12=384\text{ cookies.}`

Thus, Julia can make 384 cookies if she uses 12 cups of flour.