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
Question 2
(1 point)
Mark has at least, at most, less than, greater than, or exactly
12 games in his collection.

Answer 1

To represent the situation with inequalities:

1. Mark has \( g \) video games.
2. Anson has \( 5g \) video games (5 times the number of Mark's games).
3. The total number of video games combined is no more than 72.

So, we can write the inequality for the total number of video games as:

\[ g + 5g ≤ 72 \]

This simplifies to:

\[ 6g ≤ 72 \]

So, the correct inequality to determine the number of video games (g) in Mark’s collection is:

6g ≤ 72

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For Question 2: To find the maximum number of games Mark can have, we solve the inequality:

\[ 6g ≤ 72 \]

Dividing both sides by 6:

\[ g ≤ 12 \]

This means Mark has at most 12 games in his collection.