Answer:
Eight cups of yogurt will be used.
Step-by-step explanation:
Let cups of yogurt used in 12 cups of smoothies be x
Cups of juice used in 12 cups of smoothies = 12- x
The ratio of yogurt to juice is 2 cups to 1 cup that is:
[tex]\frac{Yogurt}{Juice}=\frac{2}{1}[/tex]
Ratio will be maintained through out 12 cups of smoothies:
[tex]\frac{Yogurt}{Juice}=\frac{2}{1}=\frac{x}{12-x}[/tex]
[tex]2(12-x)=1(x)[/tex]
[tex]24-2x=x[/tex]
[tex]24=3x[/tex]
x = 8
Eight cups of yogurt will be used.
