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 answer

Since the ratio of lime juice to avocados is 1/4 cup of lime juice for every 4 avocados, we can set up a proportion to solve for the number of avocados.

1/4 cup lime juice = 4 avocados

If we flip the ratio, it becomes:

4 avocados = 1/4 cup lime juice

Now, we can set up the proportion with the known value of 1 cup of lime juice:

4 avocados / 1/4 cup lime juice = x avocados / 1 cup lime juice

Cross-multiplying, we get:

4 avocados * 1 cup lime juice = 1/4 cup lime juice * x avocados

4 cups of lime juice = (1/4) * x avocados

Now, let's solve for x:

4 cups of lime juice = (1/4) * x avocados

Multiplying both sides by 4 to cancel out the fraction:

4 * 4 cups of lime juice = (1/4) * 4 * x avocados

16 cups of lime juice = x avocados

Therefore, Desiree needs 16 avocados.