Question

The games have been sorted into video gunes 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

13

Explanation:

Answer 2

There were 14 board games

Solution:

Let "v" be the number of video games

Let "b" be the number of board games

Given that The number of video games is 28 less than 6 times the number of board games

number of video games = 6 times the number of board games - 28

v = 6b - 28 ------ eqn 1

Also given that The games are 80% video games

So this means out of total games(video + board) , 80 % are video games

video games = 80 % of (video + board games)

v = 80 % of (v + b)

`v = 80 \% * (v + b)`

`v = (80)/(100) * (v + b)\\\\v = 0.8(v + b)\\\\v = 0.8v + 0.8b\\\\0.2v = 0.8b\\\\v = 4b`

Substitute v = 4b in eqn 1

4b = 6b - 28

-2b = -28

b = 14

Thus there were 14 board games