Question

PROBLEM #2A package contains 56 cups of oatmeal. A batch ofcookies requires 2 34 cups of oatmeal. Is thereenough oatmeal to make 21 batches of cookies?Explain. Show your work to prove your answer.

Answer 1

First, calculate the total amount of cups of oatmeal required to make 21 batches of cookies by multiplying 21 times 2 3/4:

`21*2(3)/(4)=21*2+21*(3)/(4)`

Simplify that fraction:

`\begin{gathered} =42+(21*3)/(4) \\ =42+(63)/(4) \\ =42+(60+3)/(4) \\ =42+(60)/(4)+(3)/(4) \\ =42+15+(3)/(4) \\ =57+(3)/(4) \\ =57(3)/(4) \end{gathered}`

Since a total of 57 3/4 cups of oatmeal are needed to make 21 batches of cookies, but a package contains only 56 cups of oatmeal, therefore, there is not enough oatmeal to make 21 batches of cookies.