Question

In Mr. Senter's classroom, 2/3 of the students play sudoku. Of the students who play sudoku, 3/8 also play chess. If there are 24 students in his class, how many play sudoku and chess?how did she get 9

Answer 1

The number of students given are 24.

The students who play sudoku is,

`(2)/(3)*24=16.`

Out of the students who play sudoku , the students who play chess are

`16*(3)/(8)=6.`

Therefore the students who play sudoku are 16 and play chess are 6.

The number of students who play both chess and sudoku is,

`\text{ n}(C\cup S)=n(C)+n(S)-n(C\cap S)`

Substitute the values,

`24=16+6-n(C\cap S)`
`n(C\cap S)=24-22`
`n(C\cap S)=2.`

Thus , the number of students who play both chess and sudoku is, 2.