Final answer:
Anthony's mother needs 1 and two-thirds cups of flour to make 12 cupcakes. She only has one cup, which is not enough. Therefore, there won't be enough cupcakes for each friend.
Step-by-step explanation:
The question requires us to determine if Anthony's mother has enough flour to make cupcakes for his 12 friends at daycare. The recipe calls for 3 and one third cups of flour to make two and a half dozen cupcakes. Since there are 12 friends, Anthony's mother needs to make at least 12 cupcakes. A dozen cupcakes would only require half the amount of flour the recipe calls for since a dozen is 12 and the recipe makes 30 (two and a half dozen). Therefore, Anthony's mother needs 1 and two-thirds cups of flour for a dozen cupcakes. However, she only has one cup of flour, which is not enough to make 12 cupcakes. This means each friend cannot have a cupcake because there isn't sufficient flour to make the required amount.