Fertilizer Per Plant
1. **State the problem:** We need to calculate the amount of nitrogen (N), phosphorus (P), and potassium (K) received by a single plant based on the fertilizer recommendation and plant spacing.
2. **Given data:**
- Fertilizer recommendation (N–P₂O₅–K₂O) = 120 + 60 + 60
- Plant spacing = 20 cm × 20 cm
- Plants per hill = 3
- Percentage of P in P₂O₅ = 44% (0.44)
- Percentage of K in K₂O = 83% (0.83)
3. **Calculate the amount of phosphorus (P) and potassium (K) from P₂O₅ and K₂O:**
- Amount of P = $60 \times 0.44 = 26.4$
- Amount of K = $60 \times 0.83 = 49.8$
4. **Calculate the total plants per unit area:**
- Area per hill = $20cm \times 20cm = 400 \text{ cm}^2$
- Plants per hill = 3
5. **Calculate fertilizer amount per plant:**
- Total fertilizer per hill (N, P, K) = (120, 26.4, 49.8)
- Fertilizer per plant = $\frac{\text{total fertilizer per hill}}{\text{plants per hill}} = \frac{(120, 26.4, 49.8)}{3} = (40, 8.8, 16.6)$
6. **Final answer:** Each plant receives
- Nitrogen (N): $40$
- Phosphorus (P): $8.8$
- Potassium (K): $16.6$