1. **State the problem:** A hospital had 120 surgical errors before implementing a safety program. After the program, errors were reduced by 30%. We need to find how many errors remain. 2. **Formula and explanation:** To find the remaining errors after a percentage reduction, use: $$\text{Remaining errors} = \text{Original errors} \times (1 - \text{Reduction percentage})$$ Here, the reduction percentage is 30%, or 0.30. 3. **Calculate the remaining errors:** $$\text{Remaining errors} = 120 \times (1 - 0.30)$$ $$= 120 \times 0.70$$ $$= 84$$ 4. **Interpretation:** After the safety program, the hospital has 84 surgical errors remaining. **Final answer:** 84 errors remain after the reduction.