venn diagram

[kat62343]

A survey based on 152 employees in the Public Sector, relating to their preferred automobile
brand revealed the following: 98 employees prefer LEXUS; 85 prefer AMAROK; and 65 prefer
MERCEDES; 40 of them prefer AMAROK and MERCEDES; 42 prefer LEXUS and MERCEDES;
25 prefer AMAROK only; 18 prefer MERCEDES only.
Draw a Venn diagram to illustrate this information.
a) How many preferred AMAROK and LEXUS but not MERCEDES?
b) How many preferred AMAROK or LEXUS but not MERCEDES?
c) How many preferred LEXUS only?
d) How many preferred all three brands?
e) Which is the greater number: those who prefer LEXUS and MERCEDES, OR those who prefer MERCEDES and AMAROK. By what percent is it greater?

 

[mmm4444bot]

Posting Guidelines (Summary)

Welcome to our tutoring boards! :) This page summarizes the main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to...

www.freemathhelp.com

 

[pka]

A survey based on 152 employees in the Public Sector, relating to their preferred automobile
brand revealed the following: 98 employees prefer LEXUS; 85 prefer AMAROK; and 65 prefer
MERCEDES; 40 of them prefer AMAROK and MERCEDES; 42 prefer LEXUS and MERCEDES;
25 prefer AMAROK only; 18 prefer MERCEDES only.

The cars are [imath]\mathbf{A}\text{marok },~\mathbf{L}\text{exus },~\&~\mathbf{M}\text{ercedes }[/imath]
Given[imath] \|\mathbf{L}\|=98~. ~ \|\mathbf{A}\|=85~ \&~ \|\mathbf{M}\|=65[/imath]
[imath] \|\mathbf{A\cap M}\|=40,~ \|\mathbf{L\cap M}\|=42,~~\|\mathbf{A\cap M}^c\cap L^c\|=25~\&~\|\mathbf{A^c\cap M}\cap L^c\|=15[/imath]
Whit that help try to finish & post what you can do.