figure out a venn diagram about numbers

Question

100 people were asked if they knew who any of the following are: Thor, Zeus, and Osiris.

25 people did not know any of these.
3 people knew all three.
48 people knew who Zeus or Osiris were but did not know who Thor was.
40 people knew who Osiris was.
21 people knew who at least two of these were.
7 people knew who Thor and Osiris were but did not know who Zeus was.
8 people knew who Thor and Zeus were.
How many people were there who knew only Thor?

Answer 1

Draw three overlapping circles within a rectangle.

Label each possible area

Relate the information that you are given, to the venn diagram.

 

See: http://hwmath.net/solutions/venn001.jpg

 

Now:

 

From the information given: (you may need to read what is given a couple of times, solve some equations)
calculate D 
Calculate E

Calculate C
Calculate H

 

You can check your answers against mine, see of you agree. The key is to draw a picture and label what you know. They see what you can calculate from what you know, and then answer the questions that were asked.

http://hwmath.net/solutions/venn001key.jpg