1. **State the problem:** We have a Venn diagram showing the number of people who went to Dinner, Movie, both, or neither. We want to find how many people did not go to the movies. 2. **Identify the numbers from the Venn diagram:** - 25 people are outside both circles (neither Dinner nor Movie). - 16 people went to Dinner only. - 13 people went to both Dinner and Movie. - 20 people went to Movie only. 3. **Calculate total people who went to the movies:** People who went to Movie only plus people who went to both Dinner and Movie: $$20 + 13 = 33$$ 4. **Calculate total people surveyed:** Sum of all groups: $$25 + 16 + 13 + 20 = 74$$ 5. **Calculate people who did not go to the movies:** These are people outside the Movie circle, which includes those who went to Dinner only and those who went to neither: $$25 + 16 = 41$$ **Final answer:** $$\boxed{41}$$ people did not go to the movies.