Matthew and Anthony each have a video game collection.

• The number of video games in Matthew’s collection can be represented by x.
• The number of video games in Anthony’s collection is 5 times the number in Matthew’s collection.
• The total number of video games in both collections is 72.

What is x, the number of video games in Matthew’s collection?

1 answer

Let's assume that the number of video games in Matthew's collection is x.
According to the given information, the number of video games in Anthony's collection is 5 times the number in Matthew's collection, so it would be 5x.
The total number of video games in both collections is 72, so we can write the equation: x + 5x = 72.
Combining like terms, we get 6x = 72.
Dividing both sides of the equation by 6, we find x = 12.
Therefore, the number of video games in Matthew's collection is 12.