If 3 cookies represent 25% of the total number of cookies baked, we can find the total number of cookies by using the following relationship:
Let \( x \) be the total number of cookies.
Since 25% of the total cookies is equal to 3 cookies, we can write the equation:
\[ 0.25x = 3 \]
To find \( x \), divide both sides of the equation by 0.25:
\[ x = \frac{3}{0.25} = 3 \div 0.25 \]
Calculating \( 3 \div 0.25 \):
\[ 3 \div 0.25 = 3 \times 4 = 12 \]
Thus, the total number of cookies Vince's mom baked is \( \boxed{12} \).