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# Multi-lingual Residents

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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.

Nov 1, 2017

#1
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Here's a Venn diagram :

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

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

#3
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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...

Nov 2, 2017
edited by CPhill  Nov 2, 2017
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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.

#4
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Cphill: I got the same answer by a different method !!.

Nov 2, 2017
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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!.

Nov 2, 2017
#8
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OK......!!!

Thanks...!!

Nov 2, 2017