Problem:** A retired scientist remembers a study where in a lake ecosystem, 40 fish species feed on zooplankton, 32 consume algae, and 15 consume both. If 10 species consume neither food source, how many fish species were studied in total?

Thu, 07 May 2026 22:55:49 +0000

Problem Solved: Determining the Total Number of Fish Species in a Lake Ecosystem Understanding complex ecological interactions often involves solving set-based problems rooted in real-world biology. A recent recollection by a retired scientist highlights a fascinating case study from a lake ecosystem involving fish feeding habits—a compelling example of how set theory applies in environmental science. The Problem: Smart Breakdown of Feeding Patterns In this lake ecosystem:
- 40 fish species feed on zooplankton,
- 32 species consume algae,
- 15 species feed on both zooplankton and algae,
- 10 species consume neither food source.