A smoothie recipe calls for 2 cups of juice for every 3 cups of strawberries.

Question

How many cups of strawberries would you need for 48 cups of juice?
Juice (cups) Strawberries (cups)
1 1
2
1
​

2 3
9 13
2
1
​

48

Answer 1

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.