Thread: Drawing a Venn diagram

Word problem: in a recent survey of 160 third graders, 28 were gymnasts, 60 were dancers, 99 were swimmers,13 were gymnasts and dancers, 21 were dance and swimming,19 were swimming and gym. 9 werre all three.Draw a Venn Diagram.
a) how many were in dance OR swimming? my answer 123
b) yow many were in at least 1 activity? my answer 5
c) how many were in at most two activities? 151
I don't know how to draw the venn diagram on this site! Can anyone check my answers?

Hello j-ram

Originally Posted by j-ram

Word problem: in a recent survey of 160 third graders, 28 were gymnasts, 60 were dancers, 99 were swimmers,13 were gymnasts and dancers, 21 were dance and swimming,19 were swimming and gym. 9 werre all three.Draw a Venn Diagram.
a) how many were in dance OR swimming? my answer 123
b) yow many were in at least 1 activity? my answer 5
c) how many were in at most two activities? 151
I don't know how to draw the venn diagram on this site! Can anyone check my answers?

See attached diagram.

I make the answers (a) 160 - 22 = 138 (assuming that this is an inclusive OR); (b) 160 - 17 = 143; (c) 160 - 9 = 151

Grandad

I really appreciate the help. I had 39 where you have 35 for dancing.
I had 8 where you have 12 for swimming and dance.
I had 72 where you have 69, and I had nothing in the U.
Close only counts in horse shoes - right?
Please tell me where you found the venn? Is it something I can do?

Hello j-ram

Originally Posted by j-ram

I really appreciate the help. I had 39 where you have 35 for dancing.
I had 8 where you have 12 for swimming and dance.
I had 72 where you have 69, and I had nothing in the U.

I'm not quite sure how you got your answers. Do you understand how I got mine? I started right in the middle (9), then work outwards - there are 21 doing dance and swimming, so subtract 9 from 21, to get 12, and so on.

Close only counts in horse shoes - right?

I don't understand what you mean here. Perhaps we use different words for this!

Please tell me where you found the venn? Is it something I can do?

I drew the Venn diagram in CorelDraw, and saved it as a .jpg, before using the 'Manage Attachments' button to attach it to the posting.

Grandad

I have not heard the professor say work from the inside out. That did help. I just plugged in numbers and tried to make them "work". Do you play horseshoes in UK? If a horseshoe gets close to the stake, we let it count as a ringer. I do not know if this is a real rule, or not! My pun refered to my numbers being "close" to yours. Thank-a-million!