Subjects set theory

Movie Attendance 0249F5

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We are given a Venn diagram with two sets: Dinner and Movie. The numbers represent people who went to Dinner only (16), Movie only (20), both Dinner and Movie (13), and neither (25). 2. **Identify what is asked:** How many people went to the movies? This includes those who went to Movie only and those who went to both Dinner and Movie. 3. **Recall the formula:** Number who went to Movie = Number who went to Movie only + Number who went to both Dinner and Movie. 4. **Calculate:** $$\text{Movie only} = 20$$ $$\text{Both Dinner and Movie} = 13$$ So, $$\text{Total who went to Movie} = 20 + 13 = 33$$ 5. **Answer:** 33 people went to the movies.