we are given
A cookie recipe uses 1/2 teaspoon of vanilla with 3/4 cup of flour
so,
[tex]\frac{3}{4} flour=\frac{1}{2}vanilla[/tex]
we can find for 1 cup of flour
so, we will multiply both sides by 4/3
[tex]\frac{4}{3}\times \frac{3}{4} flour=\frac{4}{3}\times \frac{1}{2}vanilla[/tex]
[tex]1 flour=\frac{2}{3}vanilla[/tex]
now, we can find for 5 cup of flour
so, we will multiply both sides by 5
and we get
[tex]5\times 1 flour=5\times\frac{2}{3}vanilla[/tex]
[tex]5 flour=\frac{10}{3}vanilla[/tex]...............Answer