Haley made 10 quarts of vegetable soup for 25 people. To find out how much soup each person gets, we divide the total amount of soup by the number of people:
\[ \text{Soup per person} = \frac{\text{Total soup}}{\text{Number of people}} = \frac{10 \text{ quarts}}{25 \text{ people}} \]
Now, we can simplify this fraction:
\[ \frac{10}{25} = \frac{10 \div 5}{25 \div 5} = \frac{2}{5} \]
Thus, each person gets \(\frac{2}{5}\) quarts of soup.
Therefore, the amount of soup each person gets is \(\frac{2}{5}\) quarts.