Let the total number of students that Ms. Quarles has be represented by \( x \).
According to the problem, Ms. Quarles grades 25% of the tests, which equals 30 papers. We can set up the following equation to express this relationship:
\[ 0.25x = 30 \]
To find \( x \), we need to solve the equation. First, we can multiply both sides by 4 to eliminate the decimal:
\[ x = 30 \times 4 \]
Calculating the right side gives:
\[ x = 120 \]
Thus, the total number of students that Ms. Quarles has is \( \boxed{120} \).