Answer:
The amount of flour Mrs.Stewart needs for 5 cups of shortening [tex]=\frac{75}{4} =18\tfrac{3}{4}[/tex] cups.
Step-by-step explanation:
Mrs.Stewart pie dough needs [tex]\frac{2}{3}[/tex] cups of shortening for [tex]2\tfrac{1}{2}=\frac{5}{2}[/tex] cups of flour.
Now we assume that the shortening needed for [tex]x[/tex] cups of flour is [tex]y[/tex] cups.
Accordingly we can arrange the ratios.
So for one cup of shortening how many cups of flour is needed we have to use the unitary method:
[tex]\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}[/tex]
Plugging the value of [tex]y=5[/tex] as it is number of cups of shortening Mrs.Stewart have used.
And multiplying both sides with [tex]5[/tex].
Number of cups of flour needed when [tex]5[/tex] cups of shortenings are used [tex](x) =\frac{x}{y} =\frac{5/2}{2/3}[/tex].
So, [tex](x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}[/tex]
The amount of floor Mrs.Stewart needed for [tex]5[/tex] cups of shortening [tex]= 18\tfrac{3}{4}\[/tex] cups of floor.
