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Calculate Mrs. Ncube's monthly water bill for September 2025, given her weekly usage and the water tariff structure, including VAT.

Mathematics

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Step 1: Calculate Mrs Ncube's water usage for the month of September 2025 (2.1.1).
Given that her water usage for 1 week is 3 125 litres, and assuming a month has 4 weeks:

Monthly water usage=Water usage per week×4\text{Monthly water usage} = \text{Water usage per week} \times 4 Monthly water usage=3 125 litres/week×4 weeks\text{Monthly water usage} = 3\,125 \text{ litres/week} \times 4 \text{ weeks} Monthly water usage=12 500 litres\text{Monthly water usage} = 12\,500 \text{ litres} 12 500 litres\boxed{12\,500 \text{ litres}}

Step 2: Convert monthly water usage to kilolitres (2.1.2).
To convert litres to kilolitres, we divide by 1 000 (since 1 kL = 1 000 L).

Water usage in kilolitres=12 500 litres1 000 L/kL\text{Water usage in kilolitres} = \frac{12\,500 \text{ litres}}{1\,000 \text{ L/kL}} Water usage in kilolitres=12.5 kL\text{Water usage in kilolitres} = 12.5 \text{ kL} 12.5 kL\boxed{12.5 \text{ kL}}

Step 3: Calculate the cost of 15 kL of water, excluding VAT (2.2.1).
We use the provided water tariff table for 15 kL:

  • Block 1: 0 kL - 6 kL is free. Cost for first 6 kL = R0.00.
  • Block 2: >6 kL - 10 kL costs R7.20 per kL. This block covers 10−6=410 - 6 = 4 kL. Cost for 4 kL = 4 kL×R7.20/kL=R28.804 \text{ kL} \times \text{R}7.20/\text{kL} = \text{R}28.80.
  • Block 3: >10 kL - 15 kL costs R13.08 per kL. This block covers 15−10=515 - 10 = 5 kL. Cost for 5 kL = 5 kL×R13.08/kL=R65.405 \text{ kL} \times \text{R}13.08/\text{kL} = \text{R}65.40.

Total cost for 15 kL (excluding VAT) = Cost from Block 1 + Cost from Block 2 + Cost from Block 3

Total cost (excluding VAT)=R0.00+R28.80+R65.40\text{Total cost (excluding VAT)} = \text{R}0.00 + \text{R}28.80 + \text{R}65.40
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