Final answer:
The cost of the video game system is $165 and the cost of the games is $495.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's assume the cost of the video game system is x dollars. According to the information given, the cost of the games is 3 times the cost of the system, so we can represent the cost of the games as 3x dollars.
The total cost of the video game system and the games is given as $660. We can set up the equation:
x + 3x = 660
Combining like terms, we get:
4x = 660
Dividing both sides of the equation by 4, we find that:
x = 165
Therefore, the cost of the video game system is $165 and the cost of the games is $495.