A 80 km² forest has a mixed tree density of 100 pine trees per hectare and 120 banyan trees per hectare. Calculate the total number of trees in the forest and the percentage of pine and banyan trees.
Answer
Total trees: 1,760,000; Pine trees: 45.45%; Banyan trees: 54.55%
The correct answer is Total trees: 1,760,000; Pine trees: 45.45%; Banyan trees: 54.55% — Step 6: Calculate banyan percentage: (960,000 ÷ 1,760,000) × 100 ≈ 54.55%.
Step-by-step solution
- Step 1: Convert the area from km² to hectares. 80 km² = 80 × 100 = 8,000 hectares.
- Step 2: Compute total pine trees: 8,000 hectares × 100 pine/hectare = 800,000 pine trees.
- Step 3: Compute total banyan trees: 8,000 hectares × 120 banyan/hectare = 960,000 banyan trees.
- Step 4: Add both to get total trees: 800,000 + 960,000 = 1,760,000 trees.
- Step 5: Calculate pine percentage: (800,000 ÷ 1,760,000) × 100 ≈ 45.45%.
- Step 6: Calculate banyan percentage: (960,000 ÷ 1,760,000) × 100 ≈ 54.55%.
Common mistake: Adding densities directly instead of computing totals per species
Concept tested: Species density calculation
Published · How this solution was prepared and checked
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