Question

A pancake recipe for Christ 3 1/3 cups of milk to 1 cup of flour. At 3 3/4 cups of milk is used, what quantity of flour will be needed, according to the recipe?

Answer 1

Given:

3 1/3 cups of milk to 1 cup of flour

3 3/4 cups of milk

So:

$\frac{3\frac{1}{3}}{3\frac{3}{4}}=\frac{1}{x}$

Simplify:

$\begin{gathered} \frac{\frac{10}{3}}{\frac{15}{4}}=\frac{1}{x} \\ \frac{10\times4}{3\times15}=\frac{1}{x} \\ \frac{40}{45}=\frac{1}{x} \\ \frac{8}{9}=\frac{1}{x} \end{gathered}$

Solve for x:

$\begin{gathered} 8\cdot x=1\cdot9 \\ 8x=9 \\ \frac{8x}{8}=\frac{9}{8} \\ x=\frac{9}{8}=1\frac{1}{8} \end{gathered}$

Answer:

$1\frac{1}{8}$