1. **State the problem:** We have 240 Year 11 students. 15% want to go to college, \frac{3}{4} want to stay at school, and the rest do not know. We need to find the number of students who do not know. 2. **Calculate the number of students who want to go to college:** 15% means 15 out of 100, so $$\text{College students} = 15\% \times 240 = \frac{15}{100} \times 240 = 36$$ 3. **Calculate the number of students who want to stay at school:** Given \frac{3}{4} of the students want to stay at school, $$\text{School students} = \frac{3}{4} \times 240 = 180$$ 4. **Calculate the number of students who do not know:** Total students = 240 Students who want college or school = 36 + 180 = 216 So, $$\text{Do not know} = 240 - 216 = 24$$ **Final answer:** 24 students do not know what they want to do next year.