Given:
Frankie purchased 3 video games for $x and a game system for $400.
He spent a total of $510.
To find:
The equation that can be used to determine the cost of one video game.
Solution:
We have,
Cost of game system (Fixed cost) = $400
Cost of 1 video game = [tex]\$x[/tex]
Cost of 3 video games = [tex]\$3x[/tex]
Now,
Total cost = Cost of game system + Cost of 3 video games
= [tex]\$400 + \$3x[/tex]
= [tex]\$(400 + 3x)[/tex]
He spent a total of $510. It means, total cost is equal to $510.
[tex]400+3x=510[/tex]
Therefore, the required equation is [tex]400+3x=510[/tex].
