Mark and Anson each have a video game collection.

Question

The number of video games in Mark's collection can be represented by x.
The number of video games in Anson's collection is 5 times the number in Mark's 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 point)
Responses

x≤12
x is less than or equal to 12

x≤−12
x is less than or equal to negative 12

x≥15
x is greater than or equal to 15

x≥−1

Answer 1

x≤12

Answer 2

how'd you get the answer?

Answer 3

We can set up an equation to represent the total number of video games. Since Anson's collection is 5 times Mark's collection, we can write the equation as:

x + 5x ≤ 72

Simplifying this equation, we get:

6x ≤ 72

Next, we can divide both sides of the inequality by 6 to isolate x:

x ≤ 12

Therefore, the solution set for x, the number of video games in Mark's collection, is x ≤ 12. This means that the number of video games in Mark's collection is less than or equal to 12.