750=400+49x
350=49x
7.1=x
At most, the enthusiast can buy 7 games, including the player.
The enthusiast saved a total of $750, you you set 750 as your total value. The player costs $400 and the enthusiast only wants one player which is 400(1) which is equal to 400 so just put 400. And each game costs $49. EACH being the keyword meaning per game, this can "per" can be substituted for 'x'.
You subtract $400 dollars to get the variables on one side. And then divide both sides by 49 to get the x-value by itself. You total with 7.1, but you can't get 7 and 0.1 of a game, so the greatest whole number relates to how many games can be bought. In this case, it is 7.