To find out how many avocados Desiree needs for 1 cup of lime juice, we first need to determine the ratio of lime juice to avocados in the recipe.
The recipe uses \( \frac{1}{4} \) cup of lime juice for every 4 avocados. We can express this in a single unit to find out how much lime juice is used per avocado.
The lime juice per avocado can be calculated as follows: \[ \frac{1/4 \text{ cup}}{4 \text{ avocados}} = \frac{1}{4} \div 4 = \frac{1}{16} \text{ cup of lime juice per avocado} \]
Now, we need to determine how many avocados are required for 1 cup of lime juice. We do this by taking the total lime juice and dividing it by the amount of lime juice needed per avocado: \[ \text{Number of avocados} = \frac{1 \text{ cup}}{\frac{1}{16} \text{ cup per avocado}} = 1 \times \frac{16}{1} = 16 \text{ avocados} \]
Thus, Desiree needs 16 avocados for 1 cup of lime juice.