Question

a punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?

Explanation:

Step1: Set up proportion

Let $x$ = cups of juice for 1 gallon.
$\frac{2}{3} = \frac{x}{1}$

Step2: Solve for $x$

Cross-multiply: $3x = 2 \times 1$
$x = \frac{2}{3}$

Answer:

$\frac{2}{3}$ cups of cranberry juice