Question

A pancake Recipe requires 4 1/2 cups of milk to 1 cup of flour. If 2 1/4 cups of milk is used, what quantity of flour will be needed according to the recipe?

Answer 1

GIVEN:

We are given a recipe which requires four and half cups of milk to one cup of flour.

Required:

If two and one-quarter cups of milk is used, what quantity of flour will be needed accoeding to the recipe.

Step-by-step solution;

For the recipe provided we have the following ratio;

`\begin{gathered} RATIO \\ \\ Milk:flour=4(1)/(2):1 \end{gathered}`

If two and one-quater cups of milk is used, and we do not know the amount of flour used, we can represent flour by f in this ratio and that would now be;

`Milk:Flour=2(1)/(4):f`

Since the ratios are the same for the recipe even with different quantities of milk and flour, then both ratios can be equated and we'll have the following equation;

`\begin{gathered} 4(1)/(2):1=2(1)/(4):f \\ \\ (9)/(2):1=(9)/(4):f \end{gathered}`

Therefore, we can now set up the following equation;

`\begin{gathered} (9)/(2)/1=(9)/(4)/ f \\ \\ (9)/(2)=(9)/(4)*(1)/(f) \\ \\ (9)/(2)=(9)/(4f) \end{gathered}`

Now we cross multiply and we have;

`\begin{gathered} f=(9*2)/(4*9) \\ \\ f=(18)/(36) \\ \\ f=(1)/(2) \end{gathered}`

Therefore, for 2 and 1/4 cups of milk then 1/2 cup of flour will be used.

ANSWER:

`flour=(1)/(2)\text{ }cup`