This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
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 Monthly water usage = 3\,125 litres/week × 4 weeks Monthly water usage = 12\,500 litres 12\,500 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 Water usage in kilolitres = 12.5 kL 12.5 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 = 4 kL. Cost for 4 kL = 4 kL × R7.20/kL = R28.80. • Block 3: >10 kL - 15 kL costs R13.08 per kL. This block covers 15 - 10 = 5 kL. Cost for 5 kL = 5 kL × R13.08/kL = R65.40. 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 Total cost (excluding