Question

A pancake recipe requires two and one half cups of milk to one cup of flour. If one and one quarter cups of milk is used, what quantity of flour will be needed, according to the recipe?

Answer 1

Answer:

$\frac{1}{2}\ cups\ of\ flour$

Step-by-step explanation:

we know that

A pancake recipe requires two and one half cups of milk to one cup of flour

so

using proportion

Find out how many cups of flour will be needed if you use a cup and a quarter of milk.

$\frac{2\frac{1}{2}}{1}\ \frac{cups\ of\ milk}{cup\ of\ flour} =\frac{1\frac{1}{4}}{x}\ \frac{cups\ of\ milk}{cup\ of\ flour}$

Convert mixed number to an improper fraction

$2\frac{1}{2}=2+\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}$

$1\frac{1}{4}=1+\frac{1}{4}=\frac{1*4+1}{4}=\frac{5}{4}$

substitute in the expression of proportion

$\frac{\frac{5}{2}}{1}\ \frac{cups\ of\ milk}{cup\ of\ flour} =\frac{\frac{5}{4}}{x}\ \frac{cups\ of\ milk}{cup\ of\ flour} \\\\x=\frac{(5/4)}{(5/2)}\\\\x=\frac{1}{2}\ cups\ of\ flour$