Answer:
Let the cost of the video game be x
He got $9x for selling 9 video games
He got $27x for selling 27 video games
According to the above problem, the equation we get is
[tex]9x + 27x = 900 \\ 36x = 900 \\x=\frac{900}{36}\\ \boxed{ x = 25}[/tex]
Therefore, the cost of each video game is $25.