1. The problem asks for the number of students who are on both the Field Day committee and the Prom committee. 2. From the Venn diagram, the number of students in the intersection of Field Day and Prom committees is given directly as 5. 3. Additionally, there is an intersection of all three committees (Prom, Awards, and Field Day) with 10 students. These students are also part of both Field Day and Prom committees. 4. To find the total number of students on both Field Day and Prom committees, we add the students in the intersection of just Field Day and Prom (5) and the students in the intersection of all three committees (10): $$5 + 10 = 15$$ 5. Therefore, the total number of students on both the Field Day and Prom committees is 15.