1. The problem is to find the minimum exam score needed to pass the course given continuous assessment (CA) score, exam weight, and pass mark. 2. Let $x$ be the exam score needed to pass. 3. The total course mark is calculated as: $$\text{Total} = 0.6 \times \text{CA} + 0.4 \times x$$ 4. Given: - CA = 78 - Exam weight = 40% = 0.4 - Pass mark = 50 5. Substitute the values: $$50 = 0.6 \times 78 + 0.4 \times x$$ 6. Calculate $0.6 \times 78$: $$0.6 \times 78 = 46.8$$ 7. So: $$50 = 46.8 + 0.4x$$ 8. Subtract 46.8 from both sides: $$50 - 46.8 = 0.4x$$ $$3.2 = 0.4x$$ 9. Divide both sides by 0.4: $$x = \frac{3.2}{0.4} = 8$$ 10. Therefore, you need to score at least 8 in the exam to pass the course.