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 [tex]\frac{3}{4}:2\frac{1}{2}[/tex] [tex]=\frac{3}{4} :\frac{5}{2}[/tex]
[tex]{butter}:{flour} =\frac{3}{4} :\frac{5}{2}[/tex]
[tex]\Rightarrow\frac {butter}{flour} =\frac{\frac{3}{4} }{\frac{5}{2}}[/tex]
Let, x cups of butter needed.
Given,Flour = 10 cups
[tex]\therefore \frac {x}{10} =\frac{\frac{3}{4} }{\frac{5}{2}}[/tex]
[tex]\Rightarrow {x} =\frac{\frac{3}{4}\times 10 }{\frac{5}{2}}[/tex]
[tex]\Rightarrow {x} =\frac{{3}\times 10\times 2 }{5\times 4}}[/tex]
[tex]\Rightarrow x= 3[/tex]
Therefore 3 cup of butter should be used to keep the same ratio.
