Can You Crack This Challenging Math Puzzle?

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SUMMARY

The forum discussion centers on a challenging math puzzle presented as a take-home exam. The user initially struggled with the problem despite attempting various methods, including graphing and logical reasoning. A hint regarding the visualization of three overlapping categories ultimately led to the successful resolution of the puzzle. This emphasizes the importance of visual aids in solving complex mathematical problems.

PREREQUISITES
  • Understanding of Venn diagrams for visualizing overlapping categories
  • Basic algebra for assigning variables in problem-solving
  • Graphing techniques to represent mathematical relationships
  • Logical reasoning skills for approaching complex problems
NEXT STEPS
  • Research Venn diagram applications in set theory
  • Explore advanced graphing techniques for mathematical problems
  • Study logical reasoning strategies in mathematics
  • Learn about problem-solving frameworks in take-home exams
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Students tackling complex math problems, educators seeking teaching strategies, and anyone interested in enhancing their problem-solving skills in mathematics.

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Homework Statement


[PLAIN]http://img408.imageshack.us/img408/5284/scan0003xp.jpg


Homework Equations


There are none?


The Attempt at a Solution


I have tried to solve this problem via making a graph, trying to outright solve the problem, i have also tried to assign variables, and logically think the problem through.
 
Last edited by a moderator:
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Edit:

I just noticed this is a take home exam, so I'm only going to give you a vague hint.

You know you have three categories, and you know that those categories overlap. Is there anything you learned in class that could visually show 3 overlapping categories?
 
Last edited:
Thank you very much, I was able to solve this particular problem with your hint :)
 

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