1. The problem states that the original recipe makes 2 1/2 cupcakes, but we need enough cupcakes for each person to have one, including herself. Let's assume the number of people is $n$. Since the problem implies she wants exactly one cupcake per person, the total cupcakes needed is $n$. 2. To find how much of the recipe she should make, we set up the proportion: $$\text{Amount of new recipe} = \frac{n}{2\frac{1}{2}} = \frac{n}{\frac{5}{2}} = n \times \frac{2}{5}$$ 3. Since the problem does not specify $n$, but implies she wants one cupcake per person including herself, and the original recipe makes 2 1/2 cupcakes, the natural interpretation is she wants to make exactly 2 1/2 cupcakes for 2 1/2 people, but since people can't be fractional, likely she wants 3 cupcakes (for 3 people). 4. So, if she wants 3 cupcakes, the amount of recipe needed is: $$3 \times \frac{2}{5} = \frac{6}{5} = 1\frac{1}{5}$$ 5. Now, the original recipe calls for 2 1/2 cups of flour. To find how many cups of flour she needs for the new amount, multiply the original flour amount by the factor $\frac{6}{5}$: $$2\frac{1}{2} \times \frac{6}{5} = \frac{5}{2} \times \frac{6}{5} = \cancel{\frac{5}{2}} \times \frac{6}{\cancel{5}} = \frac{6}{2} = 3$$ 6. Therefore, she needs 3 cups of flour to make enough cupcakes for 3 people. Final answers: - Amount of recipe to make: $1\frac{1}{5}$ times the original recipe. - Cups of flour needed: 3 cups.