1. **State the problem:** Two of AJ's puppies are white, and these white puppies represent half of the total number of AJ's puppies. We need to find the total number of puppies. 2. **Write the formula:** Let the total number of puppies be $x$. According to the problem, the white puppies are half of the total, so: $$\frac{1}{2} \times x = 2$$ 3. **Solve for $x$:** Multiply both sides by 2 to isolate $x$: $$\cancel{\frac{1}{2}} \times x \times 2 = 2 \times 2$$ which simplifies to: $$x = 4$$ 4. **Interpretation:** There are 4 puppies in total. **Final answer:** $4$ puppies.