Neco 2025 Civic Education Question 9

A student must complete at least 120 community‑service hours before graduation. Three activities are available:\n- Activity A: 3 hours per week,\n- Activity B: 5 hours per week,\n- Activity C: 2 hours per week.\nThe student plans to take part in each activity for \(x\), \(y\) and \(z\) weeks respectively, with the following constraints:\n1. The total number of weeks cannot exceed the sum of the individual weeks (i.e., \(x+y+z\) is the total weeks).\n2. At least twice as many weeks must be spent on Activity A as on Activity C (\(x \ge 2z\)).\n3. At least 20% of the total service hours must come from Activity C.\nDetermine the minimum total number of weeks the student must enrol in the three activities to satisfy all conditions.