Question

If it takes 5 1/4 cups of flour to make 4 dozen cookies, how much flour does it take to make 10 dozen cookies ?

Answer 1

If it takes 5 1/4 cups of flour to make 4 dozen cookies,

Therefore, it will take 'x' flour to make 10dozen cookies.

`\begin{gathered} 5(1)/(4)\text{cups of flour=4 dozen cookies} \\ x=10\text{ dozen cookies} \end{gathered}`

Cross-multiply and solve for x

`\begin{gathered} x*4dozen\text{ cookies=}5(1)/(4)\text{cups of flour }*10dozen\text{ cookies} \\ \frac{x*4dozen\text{ cookies}}{4\text{dozen cookies}}=\frac{5(1)/(4)\text{cups of flour }*10dozen\text{ cookies}}{4\text{dozen cookies}} \end{gathered}`

Hence,

`\begin{gathered} x=((21)/(4)*10)/(4)=((210)/(4))/(4)=(210)/(16)=13(2)/(16)=13(1)/(8) \\ \therefore x=13(1)/(8) \end{gathered}`

Therefore, it will take 13 1/8 flour to make 10dozen cookies.