To find out how many cups of strawberries are needed for 48 cups of juice based on the recipe's ratio:
The recipe indicates that:
- 2 cups of juice correspond to 3 cups of strawberries.
We can determine how many servings of the juice are in 48 cups by setting up a proportion.
First, let's find out how many times 2 cups of juice fits into 48 cups:
\[
\text{Number of servings} = \frac{48 \text{ cups of juice}}{2 \text{ cups of juice per serving}} = 24 \text{ servings}
\]
Now, since each serving also requires 3 cups of strawberries:
\[
\text{Strawberries needed} = 3 \text{ cups of strawberries per serving} \times 24 \text{ servings} = 72 \text{ cups of strawberries}
\]
Thus, you would need **72 cups of strawberries** for 48 cups of juice.