Desiree is making guacamole for a party. The recipe she is using calls for 1/4

cup lime juice for every 4 avocados. If she plans to use 1 cup of lime juice, how many avocados does she need?(1 point)
avocados

1 answer

The recipe calls for \( \frac{1}{4} \) cup of lime juice for every 4 avocados.

To find how many avocados are needed for 1 cup of lime juice, we can set up a proportion:

\[ \frac{1/4 \text{ cup lime juice}}{4 \text{ avocados}} = \frac{1 \text{ cup lime juice}}{x \text{ avocados}} \]

To solve for \( x \), we cross-multiply:

\[ 1/4 \cdot x = 1 \cdot 4 \] \[ \frac{x}{4} = 4 \]

Now, multiply both sides by 4:

\[ x = 4 \cdot 4 \] \[ x = 16 \]

Therefore, Desiree needs 16 avocados for 1 cup of lime juice.