Given:
The recipe calls for [tex]\dfrac{2}{3}[/tex] cup of strawberries for each gallon of lemonade.
Tia has 6 cups of strawberries.
To find:
The number of gallons of lemonade she can make.
Solution:
We have,
[tex]\dfrac{2}{3}[/tex] cup of strawberries for = 1 gallon of lemonade
[tex]1[/tex] cup of strawberries for = [tex]\dfrac{1}{\frac{2}{3}}[/tex] gallons of lemonade
= [tex]1\times \dfrac{3}{2}[/tex] gallons of lemonade
= [tex]\dfrac{3}{2}[/tex] gallons of lemonade
[tex]6[/tex] cup of strawberries for = [tex]6\times \dfrac{3}{2}[/tex] gallons of lemonade
= [tex]\dfrac{18}{2}[/tex] gallons of lemonade
= [tex]9[/tex] gallons of lemonade
Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.