+0

# Multi-lingual Residents

0
131
8

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
Sort:

#1
+84129
+1

Here's a Venn diagram :

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

CPhill  Nov 1, 2017
#2
+733
0

How did you do a Venn diagram? Is it something within LaTex or.......?

#3
+84129
0

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...

CPhill  Nov 2, 2017
edited by CPhill  Nov 2, 2017
#6
+733
0

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
0

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

Guest Nov 2, 2017
#5
+84129
0

CPhill  Nov 2, 2017
#7
+1

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
+84129
0

OK......!!!

Thanks...!!

CPhill  Nov 2, 2017

### 33 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details