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.
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Here are the calculations for the deliveries. 3.1 Draw the table below on your answer sheet, find the total number of deliveries made and fill in the last column by calculating the percentage of total deliveries made to each region. Step 1: Calculate the total number of deliveries. Sum all deliveries from each region: 240000 + 170000 + 150000 + 95000 + 60000 + 50000 + 40000 + 30000 + 25000 = 860000 The total number of deliveries is 860000. Step 2: Calculate the percentage of total deliveries for each region. Percentage for a region = Deliveries for regionTotal Deliveries × 100\% Gauteng: (240000)/(860000) × 100\% ≈ 27.91\% Western Cape: (170000)/(860000) × 100\% ≈ 19.77\% KwaZulu-Natal: (150000)/(860000) × 100\% ≈ 17.44\% Eastern Cape: (95000)/(860000) × 100% ≈ 11.05\% Free State: (60000)/(860000) × 100% ≈ 6.98\% Limpopo: (50000)/(860000) × 100% ≈ 5.81\% Mpumalanga: (40000)/(860000) × 100% ≈ 4.65\% North West: (30000)/(860000) × 100% ≈ 3.49\% Northern Cape: (25000)/(860000) × 100% ≈ 2.91\% Here is the completed table: | Region | Deliveries | % of Total Deliveries | | :-------------- | :--------- | :-------------------- | | Gauteng | 240 000 | 27.91% | | Western Cape | 170 000 | 19.77% | | KwaZulu-Natal | 150 000 | 17.44% | | Eastern Cape | 95 000 | 11.05% | | Free State | 60 000 | 6.98% | | Limpopo | 50 000 | 5.81% | | Mpumalanga | 40 000 | 4.65% | | North West | 30 000 | 3.49% | | Northern Cape | 25 000 | 2.91% | | Total | 860 000| 100.01% | 3.2 Suppose the number of deliveries was increased by 10% in Gauteng whilst the others remained the same in September 2025. Calculate the new percentages of deliveries in Gauteng. Step 1: Calculate the new number of deliveries for Gauteng. Original deliveries for Gauteng = 240000. Increase = 10\% of 240000 = 0.10 × 240000 = 24000. New deliveries for Gauteng = 240000 + 24000 = 264000. Step 2: Calculate the new total number of deliveries. Deliveries for other regions (excluding Gauteng) remain the same: 170000 + 150000 + 95000 + 60000 + 50000 + 40000 + 30000 + 25000 = 620000. New total deliveries = New Gauteng deliveries + Sum of other regions' deliveries New total deliveries = 264000 + 620000 = 884000. Step 3: Calculate the new percentage of deliveries for Gauteng. New percentage for Gauteng = New Gauteng deliveriesNew Total Deliveries × 100\% = (264000)/(884000) × 100\% ≈ 29.86425\% ≈ 29.86\% The new percentage of deliveries in Gauteng is 29.86%. That's 2 down. 3 left today — send the next one.