Grades 11-12 Video Solutions 2014-11&12 Video Solutions 2014 problem30

11&12 Video Solutions 2014 problem30

Video Transcription

Video Summary

The problem involves a magical island where interactions among lions, wolves, and goats can transform animals. Lions, wolves, and goats undergo transformations based on who they eat, with unique rules: wolves transform into lions after eating goats, lions turn into wolves after eating goats, and goats after eating wolves. Starting with a configuration of 6 lions, 55 wolves, and 17 goats, the goal is to end with the maximum number of a single species. By strategically allowing wolves to eat all goats and balancing subsequent transformations, it's found that the optimal outcome is 23 lions remaining, making the final answer 23.

Keywords

magical island

animal transformations

lions wolves goats

species optimization

transformation rules