Final answer:
To use all of the 1.33 cups of butter you have for the cookie recipe, you would need approximately 2 eggs, since the original recipe uses 2/3 cup of butter per egg.
Step-by-step explanation:
If the recipe calls for two cups of butter and three eggs to make six dozen cookies, and you have 1.33 cups of butter, you can calculate the number of eggs needed proportionally. First, we need to find out how much butter is used per egg. Since two cups of butter use three eggs, we have a ratio of 2 cups to 3 eggs, or 2/3 cup of butter per egg. Next, we divide the amount of butter you have by the butter per egg ratio to find out how many eggs you would need:
1.33 cups of butter ÷ (2/3 cup of butter per egg) = 1.33 ÷ (2/3) = 1.995, which we round to 2 eggs.
Therefore, to use all of the butter, you would need approximately 2 eggs.