Logic class - Tilted Forum Project Discussion Community

Jozrael · 09-24-2008, 08:19 PM

Quick question that's stumping me on the review material. I didn't pay much attention this day in class...now I'm paying for it xD.

2. In a class of 100 students, 35 studied French, 42 studied Spanish, 43 studied German, 17 studied French and Spanish, 15 studied Spanish and German, 13 studied French and German, and 20 did not study any of the three languages.

(a) Use a Venn-diagram and place appropriate numbers in each of the 8 regions.

(b) How many studied exactly two of three languages?

© How many studied French or German but not Spanish?

(d) How many studied Spanish only? (15points)

I figure I have to label all the areas as separate variables and add/subtract them in some series to get the variables I need, but I don't see a straightforward way to do that. Hints would be fine, just the answer is not cool if not accompanied by an explanation ^^. Looking to learn here, not have my homework done for me xD. Thanks!

user808a · 11-24-2008, 09:36 PM

Goggle image search for venn diagrams
images.google.com/images?&um=1&hl=en&safe=off&q=venn+diagram&&sa=N&start=0&ndsp=21]venn]venn diagram - Google Image Searchdiagram - Google Image Search

I like this one:
weblog.lowpro.ca/wp-content/uploads/2007/08/venn_diagram_example.gif

Don't forget wikipedias page on venn diagram

telekinetic · 11-25-2008, 06:30 AM

I....I'm not sure how I can help you with this short of giving you the answers. There aren't really any sub-steps you need to do to extract the information needed, just add up the appropriate groups. Do you know how to draw Venn diagrams?

Jetée · 11-25-2008, 07:29 AM

Is this right? I just drew circles (Venn-diagram style) and worked on deductive reasoning based upon the givens.

In the end, I came up with: click to show

hokieian · 12-09-2008, 07:23 PM

You have your Venn diagram wrong.

It should look like this:

(b) How many studied exactly two of three languages? 45

© How many studied French or German but not Spanish? 33

(d) How many studied Spanish only? 10

Xerxys · 12-21-2008, 11:24 AM

I don't think that answer is right because when I add all the figures displayed in the venn diagram, I get 95 and not 100 students.

09-24-2008, 08:19 PM	#1 (permalink)
Jozrael Junkie	Logic class Quick question that's stumping me on the review material. I didn't pay much attention this day in class...now I'm paying for it xD. 2. In a class of 100 students, 35 studied French, 42 studied Spanish, 43 studied German, 17 studied French and Spanish, 15 studied Spanish and German, 13 studied French and German, and 20 did not study any of the three languages. (a) Use a Venn-diagram and place appropriate numbers in each of the 8 regions. (b) How many studied exactly two of three languages? © How many studied French or German but not Spanish? (d) How many studied Spanish only? (15points) I figure I have to label all the areas as separate variables and add/subtract them in some series to get the variables I need, but I don't see a straightforward way to do that. Hints would be fine, just the answer is not cool if not accompanied by an explanation ^^. Looking to learn here, not have my homework done for me xD. Thanks!

11-24-2008, 09:36 PM	#2 (permalink)
user808a Upright	Goggle image search for venn diagrams images.google.com/images?&um=1&hl=en&safe=off&q=venn+diagram&&sa=N&start=0&ndsp=21]venn]venn diagram - Google Image Searchdiagram - Google Image Search I like this one: weblog.lowpro.ca/wp-content/uploads/2007/08/venn_diagram_example.gif Don't forget wikipedias page on venn diagram Last edited by user808a; 11-24-2008 at 09:41 PM..

11-25-2008, 06:30 AM	#3 (permalink)
telekinetic zomgomgomgomgomgomg Location: Fauxenix, Azerona	I....I'm not sure how I can help you with this short of giving you the answers. There aren't really any sub-steps you need to do to extract the information needed, just add up the appropriate groups. Do you know how to draw Venn diagrams? __________________ twisted no more

11-25-2008, 07:29 AM	#4 (permalink)
Jetée The Reforms Location: Rarely, if ever, here or there, but always in transition	Is this right? I just drew circles (Venn-diagram style) and worked on deductive reasoning based upon the givens. In the end, I came up with: click to show 20 non-language students 30 single-language students 45 double-language students 5 triple-language students For the questions: b) 45 Double-dippers c) 58 Spanish-shunners d) 10 Spanish-loners a) VENN DIAGRAM (at first, I only came up with 7 appropriate "numbered-regions", but I finished the diagram with an overall ten. I suppose it is your choice whether or not you include the entire 100 student populus, as well as the triple-language studiers, but they are not truly relevant to what is asked in the query, so they are not as important, and perhaps can/should be overlooked.) __________________ As human beings, our greatness lies not so much in being able to remake the world (that is the myth of the Atomic Age) as in being able to remake ourselves. —Mohandas K. Gandhi

12-09-2008, 07:23 PM	#5 (permalink)
hokieian Crazy Location: Saratoga Springs, NY	I know it's been a while, but I think this is the right answer You have your Venn diagram wrong. It should look like this: (b) How many studied exactly two of three languages? 45 © How many studied French or German but not Spanish? 33 (d) How many studied Spanish only? 10

12-21-2008, 11:24 AM	#6 (permalink)
Xerxys Junkie Location: My head.	I don't think that answer is right because when I add all the figures displayed in the venn diagram, I get 95 and not 100 students.