Answer:
[tex]\frac{2}{3}[/tex] cups of cranberry juice is needed for one gallon of punch.
Step-by-step explanation:
A punch recipe requires 2 cups of cranberry juice to make 3 gallons.
Let x cups of cranberry juice is needed for one gallon of punch.
We can set up the proportion like -
[tex]\frac{2}{3} =\frac{x}{1}[/tex]
=> [tex]3x=2[/tex]
[tex]x=\frac{2}{3}[/tex]
Therefore, [tex]\frac{2}{3}[/tex] cups of cranberry juice is needed for one gallon of punch.