all the pupils on the class of 35 play atlist one the games volleyball, netball , hockey 10 play volley ball only , 5 netball only and 3 play hockey only if 2 play all three games and equal numbers play 2 games ::: how many altogether play volleyball

Answer 1

Draw your Venn diagram. You can see that if x play two games, then
10+5+3+3x+2 = 35
Find x, and then 10+3+2x play volleyball.

Answer 2

5

Answer 3

If x = 5, then the total number of students who play volleyball is:

10 (play volleyball only) + 2 (play all three games) + 2x (play two games) = 10 + 2 + 2(5) = 22

Therefore, 22 students altogether play volleyball.