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Of the residents of Dawson Creek, 3 speak Greek, Italian and English, 2 speak Greek and Italian, 7 speak English, 2 speak Italian and English, 1 speaks English and Greek, 1 speaks Italian only, and 3 speak Greek only. How many residents are there altogether? Thank you for help.

Guest Nov 1, 2017
 #1
avatar+89953 
+1

Here's a Venn diagram :

 

 

There are  1 + 1 + 3 + 2 + 3 + 2 + 1  =  13 residents

 

 

cool cool cool

CPhill  Nov 1, 2017
 #2
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How did you do a Venn diagram? Is it something within LaTex or.......?

AdamTaurus  Nov 2, 2017
 #3
avatar+89953 
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I used this application.....

 

http://www.softschools.com/math/venn_diagram/venn_diagram_maker/

 

You can capture and drag the circles and the text box......after you have a completed diagram, you can use Tiny-Pic to create an "up-loadable" file

 

BTW...I'm not totally sure about my answer...I may get heureka to look at it....he's pretty good with this stuff...

 

 

 

cool cool cool

CPhill  Nov 2, 2017
edited by CPhill  Nov 2, 2017
 #6
avatar+771 
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3 speak Greek, Italian and English, 2 speak Greek and Italian, 7 speak English, 2 speak Italian and English, 1 speaks English and Greek, 1 speaks Italian only, and 3 speak Greek only. (I'm going to denote Greek to G, Italian to I, and English to E) That is 3 people (G, I, E)+ 2 people (G, I)+ 7 people (E)+ 2 people (I, E)+ 1 person (E, G)+ 1 person (I)+ 3 people (G)

That is 3 + 2 + 7 + 2 + 1 + 1 + 3 = 19

So, I would say 19 residents, but I'm not entirely sure.

AdamTaurus  Nov 2, 2017
 #4
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Cphill: I got the same answer by a different method !!.

Guest Nov 2, 2017
 #5
avatar+89953 
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Go ahead and post your method....I might have just gotten "lucky"

 

 

cool cool cool

CPhill  Nov 2, 2017
 #7
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If you total the number of residents who, by the clues, speak only one language and those who speak a number of languages, the result is 12. But in that number, you would have only counted 6 English-speaking residents. But, however, we are told that there are 7 who speak English only. So, there is an additional resident who speaks English, but not Italian or Greek. And that makes a total of 13!.

Guest Nov 2, 2017
 #8
avatar+89953 
0

OK......!!!

 

Thanks...!!

 

 

cool cool cool

CPhill  Nov 2, 2017

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