Answer:
[tex]\frac{3}{2}[/tex] cups of butter should be use to keep the same ratio.
Step-by-step explanation:
Given:
A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.
If you plan to use 5 cups of flour.
Now, to find the butter should be used to keep the same ratio.
So, to get the quantity of butter by using unitary method:
If, [tex]\frac{5}{6}[/tex] cup of flour use then butter should be = [tex]\frac{1}{4}[/tex] .
So, 1 cup of flour use then butter should be = [tex]\frac{1}{4} \div \frac{5}{6}[/tex] = [tex]\frac{6}{20}[/tex] .
Thus, for 5 cups of flour butter should be = [tex]\frac{6}{20} \times 5[/tex] = [tex]\frac{30}{20}=\frac{3}{2}[/tex] .
Therefore, [tex]\frac{3}{2}[/tex] cups of butter should be use to keep the same ratio.