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?

1 answer

Let's set up an equation to solve for the number of video games in Mark's collection, represented by x.

Since the number of video games in Anson's collection is 5 times the number in Mark's collection, we can say that the number of video games in Anson's collection is 5x.

The total number of video games is no more than 72, so we can set up the inequality:

x + 5x ≤ 72

Combining like terms, we get:

6x ≤ 72

To solve for x, divide both sides of the inequality by 6:

x ≤ 12

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