Mark and Anson each have a video game collection.

Question

The number of video games in Mark's collection can be represented by g.
The number of video games in Anson's collection is 5 times the number in Mark's collection.
The total number of video games combined is no more than 72.
Which inequality should be used to determine the number of video games (g) in Mark’s collection?

(1 point)
Responses

6g ≤ 72
6g ≤ 72

6g < 72
6g < 72

6g > 72
6g > 72

6g ≥ 72
6g ≥ 72
Question 2
(1 point)
Mark has
12 games in his collection.
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Answer 1

To determine the number of video games (g) in Mark’s collection, we start by understanding the given information.

1. Mark's collection has \(g\) games.
2. Anson's collection has 5 times the number of games in Mark's collection, which means Anson has \(5g\) games.
3. The total number of games combined is no more than 72. This can be expressed as:

\[ g + 5g \leq 72 \]

Combining the terms gives:

\[ 6g \leq 72 \]

So, the correct inequality that should be used to determine the number of video games in Mark's collection is:

6g ≤ 72

Now, for your second question, if Mark has 12 games in his collection, you can substitute \(g\) with 12 in the inequality:

\[ 6(12) \leq 72 \ 72 \leq 72 \]

This means that Mark's collection is valid under the inequality.