Question

A recipe for pie dough calls for a ratio of butter to flour of 3/4:2 1/2. If you plan to use 10 cups of flour, how much butter should you use to keep the same ratio?

Answer 1

Answer:

Therefore 3 cup of butter should be used to keep the same ratio.

Step-by-step explanation:

Given, a recipe for pie dough calls for ratio of butter to flour of $\frac{3}{4}:2\frac{1}{2}$ $=\frac{3}{4} :\frac{5}{2}$

${butter}:{flour} =\frac{3}{4} :\frac{5}{2}$

$\Rightarrow\frac {butter}{flour} =\frac{\frac{3}{4} }{\frac{5}{2}}$

Let, x cups of butter needed.

Given,Flour = 10 cups

$\therefore \frac {x}{10} =\frac{\frac{3}{4} }{\frac{5}{2}}$

$\Rightarrow {x} =\frac{\frac{3}{4}\times 10 }{\frac{5}{2}}$

$\Rightarrow {x} =\frac{{3}\times 10\times 2 }{5\times 4}}$

$\Rightarrow x= 3$

Therefore 3 cup of butter should be used to keep the same ratio.