3 teaspoons =1 tablespoon. 4 tablespoons =1/4 cup. 16 tablespoons=1 cup. 48 teaspoons=1 cup. your recipe should be 32 teaspoons of vinegar to 16 cups of water or 2/3 of a cup of vinegar to 16 cups(1 gallon) of water it is all the same thing just written different.good luck on the recipe.=0P. Source(s): I am a chef.