Lillian is making chocolate cupcakes to sell at a fundraiser. She only has 3 cups of sugar at home. She goes to the store and buys 2 bags of sugar. Each bag of sugar contains 6 cups. The batter uses 1 cup of sugar per 12 cupcakes. She needs 2 cups of sugar to make enough frosting for a dozen cupcakes. How many dozen cupcakes can she bake and ice with the sugar she has? Give me reasons, before answering the question
The bags of sugar which she bought contain 2 * 6 = 12 cups. In total, she has 12 cups + 3 cups = 15 cups of sugar to use. She needs 1 cup + 2 cups = 3 cups of sugar to make the batter and frosting for a dozen cupcakes. Lillian has enough sugar to bake and ice 15 / 3 = 5 dozen cupcakes. So the final answer is 5.