Question

Matthew and Anthony each have a video game collection. 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

The number of video games in Matthew’s collection is 12

To solve the problem, we need to know what simultaneous equations are

What are simultaneous equations?

These are a pair of equations which contain two variables.

Now, let

• x = number of video games in Matthew's collection and
• y = number of video games in Anthony's collection.

Given that the number of video games in Anthony’s collection is 5 times the number in Matthew’s collection, we have that y = 5x (1)

Also, the total number of video games in both collections is 72.

So, x + y = 72 (2)

Substituting equation (1) into (2), we have

x + 5x = 72

6x = 72

x = 72/6

x = 12

So,  the number of video games in Matthew’s collection is 12

Learn more about number of video games here:

brainly.com/question/12452860