Calculating Passengers without Caps or Eye Glasses: 36 Bus Riders

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Homework Help Overview

The problem involves determining how many passengers on a bus have neither caps nor eye glasses, given specific counts of passengers with caps, those with both caps and eye glasses, and those without eye glasses.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using Venn diagrams and algebraic methods to analyze the relationships between the groups of passengers. Some question how to represent the counts accurately in the diagrams.

Discussion Status

The discussion includes various attempts to visualize the problem and explore different methods of reasoning. Some participants have offered suggestions for approaching the problem, while others express uncertainty about their progress.

Contextual Notes

There is a focus on the counts of passengers with and without eye glasses and caps, with some participants noting the total number of passengers and the constraints of the problem setup.

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Homework Statement


Out of 36 passengers in a bus. 8 have caps, 2 have both cap and eye glasses , 26 don't have eye glasses, how many passengers have neither caps nor eye glasses


Homework Equations





The Attempt at a Solution



A draw 2 intersected diagrams C and E. In C I write 6 dots, in the intersected point i write 2 dots, but I don't know how many should I write in Diagram E(Eyeglasses)
The formula: C U E = C + E - CinteresectE
 
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You could draw venn diagrams etc.. but also consider the algebraic approach using the relation you gave at the bottom of your post. Have you come across DeMorgan's Laws?
 
blunted said:

Homework Statement


Out of 36 passengers in a bus. 8 have caps, 2 have both cap and eye glasses , 26 don't have eye glasses, how many passengers have neither caps nor eye glasses


Homework Equations





The Attempt at a Solution



A draw 2 intersected diagrams C and E. In C I write 6 dots, in the intersected point i write 2 dots, but I don't know how many should I write in Diagram E(Eyeglasses)
The formula: C U E = C + E - CinteresectE

Perhaps you should think how many to put outside area E. You already have 6 outside that area.
 
Can't make a move..
 
36 passengers in a bus, 26 don't have eye glasses, so how many do?
 
Okay found it, thanks.
 

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