Alice, Raul, and Maria are baking cookies together. They need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. They each brought the ingredients they had at home. Alice brought 2 cups of flour and 1/4 cup of butter, Raul brought 1 cup of flour and 1/2 cup of butter, and Maria brought 1 1/4 cups of flour and 3/4 cup of butter. If the students have plenty of the other ingredients they need (sugar, salt, baking soda, etc.), how many whole batches of a dozen cookies can they make?