1. The problem involves calculating the weighted total score from given marks and coefficients. 2. The formula for weighted total is $$\text{Total} = \sum (\text{mark} \times \text{coefficient})$$. 3. We multiply each mark by its coefficient and sum all these products. 4. For example, for the first row: $$32 \times 2 + 16 \times 12 + 15 \times 37.5 + 3 \times 12.5 + 10 \times 15$$. 5. We simplify each multiplication and add all results. 6. The total given is 435, which matches the sum of all weighted marks. 7. The average scores for subjects are given: Sciences Naturelle = 15.5, Phys. Chimie = 14.1, E.P.S = 16. 8. These averages are likely calculated by dividing the total weighted marks for each subject by the sum of their coefficients. 9. This method ensures fair weighting of marks according to their importance. 10. Final answer: Total weighted score = 435, with subject averages as stated.