Question

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Question 1
Mark and Anson each have a video game collection.

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 Mark and Anson's 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 solve Question 1, we need to set up the inequality based on the information given:

1. Let \( g \) be the number of video games in Mark's collection.
2. Anson has 5 times the number of video games that Mark has, which can be expressed as \( 5g \).
3. The total number of video games for both Mark and Anson is \( g + 5g = 6g \).
4. We know that the total number of games combined is no more than 72, which can be expressed as \( 6g \leq 72 \).

Thus, the correct inequality to use is:

**6g ≤ 72**

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For Question 2, it states that Mark has 12 games in his collection.

If \( g = 12 \), we can check if this value satisfies the inequality we established earlier:

1. Calculate \( 6g \) with \( g = 12 \):
\[
6g = 6 \times 12 = 72
\]

2. Check the inequality:
\[
72 \leq 72
\]
This holds true.

Therefore, it is consistent that Mark can have 12 games in his collection while adhering to the conditions outlined in the problem.