Mark and Anson each have a video game collection.

• 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?
Responses

1 answer

The total number of video games in Mark's collection is x, and the total number in Anson's collection is 5x. So, the total number of video games between them is x + 5x = 6x.

Since the total number of video games is no more than 72, we have the inequality:
6x ≤ 72
x ≤ 12

Therefore, the solution set for x, the number of video games in Mark's collection, is x ≤ 12.