do you know how to do venn diagrams?

Question

a group of students decided to get in shape and so they started running, swimming, and walking. they dont all like all the same sports, i'm not sure how many are in the group but her is what i do know. there are 17 walkers. five of the students love to walk and to run, but are afraid of the water so they dont swim. two on the other hand dont like to sweat so they only swim. there of the students think that walking is too boring and so they run and swim. 12 like only one sport. 9 walk and swim. twice as many as those who only walk and swim do all three sports.

Answer 1

Venn diagrams are really just graphic organizers - a way to use a simple picture to show information. A Venn diagram is a drawing, in which circular areas are used to represent groups of items sharing common properties. Venn diagrams were invented by a guy named John Venn (no kidding; that was really his name) as a way of picturing relationships between different groups of things.

Here are some links for Venn diagrams. Some are quite interesting. I hope this helps.

Answer 2

Draw three circles, that all overlap in the centre. Circle A is walkers, circle B is runners, circle C is swimmers. You now have 7 "areas": The part that is only A, the part that is only B, the part that is only C, the overlap of A and B, the overlap of A and C, the overlap of B and C, and the middle overlap of all 3.

5 students walk and run but don't swim. So 5 is in the overlap of A/B. 2 students only swim, so 2 is in the non-overlapped part of C. 3 students run and swim, so 3 is in the B/C overlap. 9 walk and swim, so 9 is in the A/C overlap. Keep proceeding in this way.

Answer 3

Given:
5 walk and run only
2 swim only
3 run and swim only
17 walk
12 like exactly one
2(walk and swim only) = all three
Let w = # who walk only
y = # who walk and swim only
z = # who do all three
w = # who run only
You get these 4 equations:
y + z = 9
2y = z
x+w+2 = 12
x+y+z+5 = 17
From the first two equations you get that y = 3 and z = 6
Plugging this into the fourth equation, you get x = 3
and plugging into the third equation, you get w = 7
If I could draw a Venn diagram, it would be much easier to show you.

Answer 4

Draw three circles that intersect with one another if you haven't already, or if the diagram isn't provided for you. (To see what I'm talking about search for TRINITY CIRCLE in yahoo images search.)

One circle must be labeled swimming, the other running, the other walking.

Then, work out who belongs in what circle-- and who belongs in the intersecting circles. For example, it says there are five students who love to walk and run but are afraid of water. Those five belong in the section where the circles for walking and running intersect, but not in the part of the diagram where ALL circles intersect. If you need more help, please get in touch with me, I am a teacher and can help you out.