Question

A video game system and several games are sold for $500. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of games

Answer 1

The cost of the video game system is $125 and the cost of the games is $375.

Step-by-step explanation:

Let's denote the cost of the video game system as x and the cost of the games as y. We are given that the total cost of the system and games is $500. It is also given that the cost of the games is 3 times the cost of the system.

Therefore, we can write the following equation:

x + y = 500

Since the cost of the games is 3 times the cost of the system, we have:

y = 3x

Solving these two equations simultaneously, we substitute y in the first equation:

x + 3x = 500

4x = 500

x = 125

Now substituting the value of x back into the equation y = 3x, we can find the cost of the games:

y = 3(125)

y = 375

Therefore, the cost of the video game system is $125 and the cost of the games is $375.