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rubaidi
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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?

 

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  On 6/5/2018 at 1:21 PM, rocdocmac said:

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

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  On 6/5/2018 at 1:28 PM, Thalia said:

 

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  On 6/5/2018 at 1:21 PM, rocdocmac said:

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

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

  On 6/5/2018 at 1:28 PM, Thalia said:

 

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Yes, that's right.

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  On 6/5/2018 at 2:08 PM, rocdocmac said:

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

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Edited by Thalia
Phone quoting issues.
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  On 6/5/2018 at 7:53 PM, Thalia said:
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You are genius, could please upload your diagram again because I can't display picture. 

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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 

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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

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