Question

The games have been sorted into video games and board games. The number of video games is 28 less than 6 times the number of board games. The games are 80% video games. How many board games are there?

Answer 1

Answer:

There are 14 board games

Step-by-step explanation:

Firs of all I defined two variables

V= number of videogames

B= number of board games

Then I translate the information into math equations:

V=6B-28 represents the number of video games is 28 less than 6 times the number of board games.

$\frac{V}{V+B}=0.8$ represents the games are 80% video games. The equation is the number of video games divided for the total number of games

The two equation form a lineal equations system. It is rewritten below

V-6B=-28

V-4B=0

The solution for this equations system is

V=56

B=14

Answer 2

V is 56 and B would be 14