Well, that's a lot to chew on, but I'l give you the basics.
Let x be the number of games the teens played. And since the adults played 30 more, they must have played x + 30
And the number of games the teens played times the cost per game plus the number of games the adults played times their cost to play = total revenue..Mathematically, we have
5x + 8(x + 30) = 825 simplify
5x + 8x + 240 = 825
13x + 240 = 825 subtract 240 from both sides
13x = 585 divide both sides by 13
x = 45 and that's the number of games the teens played
And the adults played 30 more = 75
And the revenue collected from the teens = 45($5) = $225
And the revenue collected from the adults = 75($8) = $600
And they collected $600 - $225 = $375 more from the adults than the teens
And there you go....
