A local government has a total budget of ₦120 million to be allocated to three public services: health ($H$), education ($E$), and sanitation ($S$). The allocation must satisfy the following conditions:

1. Health receives exactly 30 % of the total budget.
2. Education receives no more than 45 % of the total budget.
3. Sanitation receives twice the amount allocated to education minus ₦5 million.

Determine the exact allocation (in million naira) to each of the three services.

Question

A local government has a total budget of ₦120 million to be allocated to three public services: health ($H$), education ($E$), and sanitation ($S$). The allocation must satisfy the following conditions:

1. Health receives exactly 30 % of the total budget.
2. Education receives no more than 45 % of the total budget.
3. Sanitation receives twice the amount allocated to education minus ₦5 million.

Determine the exact allocation (in million naira) to each of the three services.

Accepted Answer

Health = 36 million; Education = 89/3 ≈ 29.67 million; Sanitation = 163/3 ≈ 54.33 million

Neco Model Questions Vol1 2024 Civic Education Question 3

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