1. **State the problem:** We need to find the total number of students on the Student Council given the numbers in each section of the Venn diagram for three committees: Prom, Awards, and Field Day. 2. **Identify the numbers given:** - Prom only: 4 - Awards only: 6 - Field Day only: 8 - Prom and Awards only: 3 - Prom and Field Day only: 5 - Awards and Field Day only: 2 - All three committees: 10 - Outside all committees: 9 3. **Formula for total students:** The total number of students is the sum of all the numbers inside the Venn diagram plus those outside: $$\text{Total} = (\text{Prom only}) + (\text{Awards only}) + (\text{Field Day only}) + (\text{Prom \& Awards only}) + (\text{Prom \& Field Day only}) + (\text{Awards \& Field Day only}) + (\text{All three}) + (\text{Outside all})$$ 4. **Substitute the values:** $$\text{Total} = 4 + 6 + 8 + 3 + 5 + 2 + 10 + 9$$ 5. **Calculate the sum:** $$\text{Total} = 4 + 6 = 10$$ $$10 + 8 = 18$$ $$18 + 3 = 21$$ $$21 + 5 = 26$$ $$26 + 2 = 28$$ $$28 + 10 = 38$$ $$38 + 9 = 47$$ 6. **Final answer:** There are **47 students** on the Student Council in total.