Let x represent the amount of sugar needed to make one batch of cookies.
We have been given that Pia used [tex]\frac{2}{3}[/tex] of her sugar to make [tex]\frac{3}{4}[/tex] of a batch of cookies. We are asked to find the amount of sugar needed to make whole batch.
We can represent our given information in an equation as:
[tex]\frac{3}{4}x=\frac{2}{3}[/tex]
Let us solve for x.
[tex]\frac{4}{3}\cdot \frac{3}{4}x=\frac{4}{3}\cdot \frac{2}{3}[/tex]
[tex]x=\frac{4\cdot 2}{3\cdot 3}[/tex]
[tex]x=\frac{8}{9}[/tex]
Therefore, Pia needs [tex]\frac{8}{9}[/tex] of her sugar to make 1 whole batch of cookies.
