1. **Problem Statement:** We are given a Venn diagram with two sets: Dinner and Movie. The numbers represent the number of people in each region: - Only Dinner: 16 - Both Dinner and Movie (intersection): 13 - Only Movie: 20 - Outside both sets (neither Dinner nor Movie): 25 We need to find the total number of people surveyed. 2. **Formula and Explanation:** The total number of people surveyed is the sum of all the regions in the Venn diagram: $$\text{Total} = \text{Only Dinner} + \text{Only Movie} + \text{Both} + \text{Neither}$$ 3. **Substitute the values:** $$\text{Total} = 16 + 20 + 13 + 25$$ 4. **Calculate the sum:** $$\text{Total} = 16 + 20 = 36$$ $$36 + 13 = 49$$ $$49 + 25 = 74$$ 5. **Final answer:** The total number of people surveyed is **74**.