Jump to content
BrainDen.com - Brain Teasers
  • 0
rubaidi

You're super genius if you solve this Puzzle

Question

There are 90 students at school, 30 students participate at football team, 40 students participate at Volleyball   team and 25 students participate at Basketball team.

15 students are participating in football team & Volleyball team.

10 Students are participating in football team & Basketball team.

8 Students are participating in Volleyball team & Basketball team.

23 Students not participating at any team, whereas there are students participate at three teams.

How many students participating at three teams?

How many students participating at Football team only?

How many students participating at Volleyball team only?

How many students participating at Basketball team only?

 

Share this post


Link to post
Share on other sites

13 answers to this question

  • 0

Will upload diagram a bit later. Can pretty much fill it out from the description. 

Venn diagram

Spoiler

1624229175_VennDiagram.png.a9dbdefba55db1c2e3807f50861108dd.png

Edited by Thalia

Share this post


Link to post
Share on other sites
  • 0

Something is wrong with one or more of the numbers in the OP!

Spoiler

Football, baseball volleyball.jpg

 

Edited by rocdocmac
Reworded

Share this post


Link to post
Share on other sites
  • 0
5 minutes ago, rocdocmac said:

Something is wrong with one or more of the numbers in the OP!

  Hide contents

Football, baseball volleyball.jpg

 

When it says a student plays 2 sports, that doesn't mean they don't play the 3rd sport. So I think when you subtract 2X, you're subtracting students already accounted for.

Share this post


Link to post
Share on other sites
  • 0
40 minutes ago, Thalia said:

 

  Hide contents

When it says a student plays 2 sports, that doesn't mean they don't play the 3rd sport. So I think when you subtract 2X, you're subtracting students already accounted for.

Spoiler

The middle section has been counted three times, one for each group, so we must subtract it twice in order to count it once ultimately. What does the Venn diagram for your solution look like?

 

 

Edited by rocdocmac

Share this post


Link to post
Share on other sites
  • 0
5 hours ago, rocdocmac said:

Something is wrong with one or more of the numbers in the OP!

  Hide contents

Football, baseball volleyball.jpg

 

Excellent try, this formula can be used only EXACTLY number of FV ONLY , EXACTLY number of FB ONLY and EXACTLY number of VB ONLY.

5 hours ago, Thalia said:

 

  Hide contents

When it says a student plays 2 sports, that doesn't mean they don't play the 3rd sport. So I think when you subtract 2X, you're subtracting students already accounted for.

 

Yes, that's right.

Share this post


Link to post
Share on other sites
  • 0
5 hours ago, rocdocmac said:

Boo.  Dumb phone. Nothing to see here...

 

I added up the number of students in each of the sports (30,40,25). That's 95. We know there's 23 students who don't play those sports so 67 remaining. That means there's a 28 student overlap. Adding up the given overlaps (15,10,8) gives you 33. So the overlap for those is 5. I subtracted from the appropriate sections of my diagram as I went.

Edited by Thalia
Phone quoting issues.
  • Like 1

Share this post


Link to post
Share on other sites
  • 0
46 minutes ago, Thalia said:
  Hide contents

I added up the number of students in each of the sports (30,40,25). That's 95. We know there's 23 students who don't play those sports so 67 remaining. That means there's a 28 student overlap. Adding up the given overlaps (15,10,8) gives you 33. So the overlap for those is 5. I subtracted from the appropriate sections of my diagram as I went.

You are genius, could please upload your diagram again because I can't display picture. 

Share this post


Link to post
Share on other sites
  • 0
13 hours ago, Thalia said:

Will upload diagram a bit later. Can pretty much fill it out from the description. 

Venn diagram

  Hide contents

1624229175_VennDiagram.png.a9dbdefba55db1c2e3807f50861108dd.png

You're really super genius 

Share this post


Link to post
Share on other sites
  • 0

90  students however there are 95 involvements i.e. ( 30 fb;  40 vb;   25 bb ). That there are 23 who do not participate is NOT crucial to the solution.

A ) 15 fb + vb ;  B)  10 fb + bb ;   C) 8 bb + vb ;;           15 fb+ 10 fb =25 fb combined plus 5 ;   15 vb + 8 vb = 23 vb plus 17 ;  10 bb + 8 bb = 18 bb plus 7                                                                 The plus 5 ; plus 17; plus 7 represents respectively those who play only 1 or all 3 sports . =  29                                                                                                                                            Now 25  +  23  +  18 = 66 involvements;  plus 29 involvements = 95 involvements                                                                                                                                                           Therefore the plus 5 ; plus 17; plus 7 represents respectively those who play only 1 sport  and there were none who played all 3 sports

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

I yield to Rubaidi's  Venn diagram above  great solution 

Share this post


Link to post
Share on other sites
  • 0

This site is filled with intelligent people with different strengths. This one just happens to work well with how my brain is wired. Nice puzzle.  :) 

Share this post


Link to post
Share on other sites
  • 0

21,15,17,7

                       90                                               17+15+7+5=44                  44-23=--21

          30    40    25

    _--15     15    25    15   10

                    _--17    8  _--7   _5

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

  • Recently Browsing   0 members

    No registered users viewing this page.

×