A lake contains 12,000 fish with a total biomass of 24,000 kg. If 40% are trout (average weight 0.5 kg), 35% are bass (0.8 kg), and the rest are panfish (0.3 kg), verify whether the data is consistent with the average weight.

Thu, 30 Apr 2026 00:57:23 +0000

**A lake contains 12,000 fish with a total biomass of 24,000 kg. If 40% are trout (average weight 0.5 kg), 35% are bass (0.8 kg), and the rest are panfish (0.3 kg), verify whether the data is consistent with the average weight.** In a growing interest around sustainable ecosystems and recreational fishing, a detailed snapshot of a real lake’s fish population is drawing attention. The data reveals 12,000 fish with a total biomass of 24,000 kg—raising a simple but insightful question: Is this distribution of trout, bass, and panfish logically balanced by average weights? This mix mirrors common patterns in freshwater habitats, offering a window into aquatic balance and the ecological logic behind fish abundance. --- The biological consistency of this data hinges on understanding each species’ typical weight. Trout, mostly around 0.5 kg, represent 40% of the population—so 4,800 fish averaging 0.5 kg each yield 2,400 kg. Bass, slightly heavier at 0.8 kg, form 35% of the total, or 4,200 fish, contributing 3,360 kg. Together, trout and bass account for 9,760 fish and 5,760 kg. The remaining 25%—3,000 fish—is allocated to panfish averaging 0.3 kg, generating 900 kg. Adding these yields 24,000 kg total biomass—exactly matching the stated figure.