The 90 members of a sports club play at least one of the games,tennis,football and volleyball. 10 play tennis and football,19 play football and volley ball,and 29 play tennis and volley ball. n people play all three games. 2n people each play only one game. How many play football altogether?

3 answers

Venn diagram
If anything is unclear about what I did. You can ask for more info,..

To find n we have:

2n+2n+2n+10−n+19−n+29−n+n=90

4n=32

n=8

Now to find the total number of people that play football, we have:

F=2n+10−n+19−n+n=29+n=37
Please how did you get 32