a recipe for eggnog calls for 2 eggs for every 3 cups of milk. if there are cups in a quart, how many eggs will be needed to mix with 6 quarts of milk?

If there are 4 cups in every quart, and there are 6 quarts, that mean there are 24 cups of milk.  If you take 24 and divide it by  3 cups each, you will get 8 sets with 3 cups in each set.  For every set, you need to add 2 eggs, so that would be 16 eggs for the total of 6 quarts.
Answer is 16 eggs.