Ben needs 435 tickets for o get the prize he wants at the arcade he already had 118 tickets and can earn 27 tickets each time he plays an arcade game how many games will he have to play in order to

Have enough tickets to win the prize he wants

Ben needs 435 - 118 = 317 more tickets to win the prize.

He earns 27 tickets each time he plays a game.
So, he will have to play 317 / 27 = 11.74 games.
Since Ben cannot play a fraction of a game, he will have to play 12 games in order to have enough tickets to win the prize he wants.