Answer :
We have the next information
1 game --- 1/2 hour
x games -- 8 hour
x is the number of games in 8 hours
x can be calculated if we divided 8 between 1/2
[tex]x=\frac{8}{\frac{1}{2}}=\frac{\frac{8}{1}}{\frac{1}{2}}=\frac{8\cdot2}{1\cdot1}=\frac{16}{1}=16[/tex]they played 16 different games in 8 hours