Mark and Anson each have a video game collection.

Question

The number of video games in Mark collection can be represented by x.
The number of video games in Anson collection is 5 times the number in Mark collection.
The total number of video games is no more than 72.
What is the solution set for x, the number of video games in Mark’s collection?

Answer 1

Let x be the number of video games in Mark's collection.
The number of video games in Anson's collection is 5x.
The total number of video games is x + 5x = 6x.
According to the problem, 6x ≤ 72.
Dividing both sides by 6, we get x ≤ 12.
Therefore, the solution set for x is x ≤ 12.