Answer: 6 students
What we know:
Students: 24
Students who play checkers: [tex]\frac{2}{3}[/tex]
Students who also play sudoku:[tex]\frac{3}{8}[/tex] of the [tex]\frac{2}{3}[/tex]
24 ÷ 3 = 8, so 8 × 2 = 16 (students who play checkers)
[tex]\frac{3}{8}[/tex] × 2 = [tex]\frac{6}{16}[/tex]
So the answer is,
6 students play both checkers and sudoku