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:

`(3(1)/(3))/(3(3)/(4))=(1)/(x)`

Simplify:

`\begin{gathered} ((10)/(3))/((15)/(4))=(1)/(x) \\ (10*4)/(3*15)=(1)/(x) \\ (40)/(45)=(1)/(x) \\ (8)/(9)=(1)/(x) \end{gathered}`

Solve for x:

`\begin{gathered} 8\cdot x=1\cdot9 \\ 8x=9 \\ (8x)/(8)=(9)/(8) \\ x=(9)/(8)=1(1)/(8) \end{gathered}`

Answer:

`1(1)/(8)`