Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She has 6 cups of strawberries. How many gallons of lemonade can she make?

Respuesta :

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.