Question

In a class of 34, girls 21 play tennis and 18 play netball. If all the girl play at least one of the Games, how many of them play both games.​

Answer 1

5 play both tennis and netball

Solution:

Formula: Total = Group 1 + Group 2 - Both + Neither

where:

- Total = total number of girls in the class (34)

- Group 1 = number of girls playing tennis (21)

- Group 2 = number of girls playing netball (18)

- Both = number of girls playing both games (what we want to find)

- Neither = number of girls playing neither game (0, since all the girls play at least one game)

Plugging in the values, we get:

34 = 21 + 18 - Both + 0

Simplifying:

34 = 39 - Both

Both = 39 - 34

Both = 5