Grades 11-12 Video Solutions 2013-Levels 11&12 Video Solutions 2013 problem8

Levels 11&12 Video Solutions 2013 problem8

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Video Summary

To solve the problem of how many villains the fourth superhero must capture, we know six superheroes capture a total of 20 villains. The first three superheroes capture 1, 2, and 3 villains respectively. This leaves 14 villains for the remaining three superheroes. The fourth superhero captures more villains than the other two unmentioned superheroes. Testing different scenarios, if the fourth superhero captures fewer than 6, one of the remaining captures will exceed the fourth's count. Splitting the remaining 8 villains as 4 and 4 between the last two superheroes, the smallest number the fourth superhero can capture is 6.

Keywords

superheroes

villains

capture

problem-solving

mathematics