Final answer:
You can buy a maximum of 4 games.
Step-by-step explanation:
To find the maximum number of games you can buy, you need to determine how much money is left after buying the gaming system. The gaming system costs $250, so you subtract that from the $500 you have. This leaves you with $250. Then, you can divide the remaining money by the cost of each game, which is $60. This gives you the maximum number of games as:
(Amount of money remaining) / (Cost of each game) = (Maximum number of games)
Maximum number of games = $250 / $60 = 4 games
Therefore, you can buy a maximum of 4 games.