Answer:
[tex]18\frac{3}{4}\ cups\ flour[/tex]
Step-by-step explanation:
we know that
Mrs. Stewart uses 2/3 cup of shortening for every 2 1/2 cups of flour
so
using proportion
Find out the amount of cups of flour needed when she uses 5 cups of shortening
Let
x -----> the amount of cups of flour needed
Remember that
[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]
The proportion that could be used is
[tex]\frac{(5/2)}{(2/3)}\ \frac{cups\ flour}{cups\ shortening} =\frac{x}{5}\ \frac{cups\ flour}{cups\ shortening} \\\\x=5(5/2)/(2/3)\\\\x=\frac{75}{4}\ cups\ flour[/tex]
Convert to mixed number
[tex]\frac{75}{4}\ cups\ flour=\frac{72}{4}+\frac{3}{4}=18\frac{3}{4}\ cups\ flour[/tex]
