Matthew and Anthony each have a video game collection.

Question

• The number of video games in Matthew’s collection can be represented by x.
• The number of video games in Anthony’s collection is 5 times the number in Matthew’s collection.
• The total number of video games in both collections is 72.

What is x, the number of video games in Matthew’s collection?

Answer 1

Let's use the information provided to set up an equation.

1. Let \( x \) be the number of video games in Matthew's collection.
2. The number of video games in Anthony's collection is \( 5x \).
3. The total number of video games in both collections is 72.

We can express this relationship with the equation:

\[ x + 5x = 72 \]

Now, combine like terms:

\[ 6x = 72 \]

Next, we solve for \( x \):

\[ x = \frac{72}{6} = 12 \]

Therefore, the number of video games in Matthew’s collection is \( \boxed{12} \).