Answer: The required number of cups of milk that are used for each cup of oatmeal is [tex]2\dfrac{1}{2}.[/tex]
Step-by-step explanation: Given that a recipe uses [tex]8\dfrac{3}{4}[/tex] cups of milk for every [tex]3\dfrac{1}{2}[/tex] cups of oatmeal.
We are to find the number of cups of milk that are used for each cup of oatmeal.
We will be using the UNITARY method to solve the problem
We have
Number of cups of milk that are used for [tex]3\dfrac{1}{2}[/tex] cups of oatmeal is
[tex]8\dfrac{3}{4}=\dfrac{35}{4}.[/tex]
Therefore, the number of cups of milk that are needed for 1 cup of oatmeal is
[tex]\dfrac{\frac{35}{4}}{3\frac{1}{2}}=\dfrac{\frac{35}{4}}{\frac{7}{2}}=\dfrac{35}{4}\times\dfrac{2}{7}=\dfrac{5}{2}=2\dfrac{1}{2}.[/tex]
Thus, the required number of cups of milk that are used for each cup of oatmeal is [tex]2\dfrac{1}{2}.[/tex]
