Question

A pancake recipe asked for one and 2/3 times as much milk as flower if two and one half cups of milk is used what quantity of flower would be needed according to the recipe?

Answer 1

Let x be the quantity of flour used

Let y be the quantity of milk used

A pancake recipe asked for one and 2/3 times as much milk as flour:

`y=1(2)/(3)x`

If two and one half cups of milk is used what quantity of flower would be needed according to the recipe?

Find x when y=2 1/2:

`2(1)/(2)=1(2)/(3)x`

Write the quantities as fractions;

`\begin{gathered} 2+(1)/(2)=(1+(2)/(3))x \\ \\ (4)/(2)+(1)/(2)=((3)/(3)+(2)/(3))x \\ \\ (5)/(2)=(5)/(3)x \end{gathered}`

Solve x:

`x=((5)/(2))/((5)/(3))=(15)/(10)`

Write the answer as a mixed number:

`(15)/(10)=(10)/(10)+(5)/(10)=1+(5)/(10)=1+(1)/(2)=1(1)/(2)`Then, for 2 1/2 cups of milk would be needed 1 1/2 cups of flourAnswer: 1 1/2