Alex needs 785 tickets to get the price he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he plays an arcade game. How many games will he have to play in order have enough tickets to win the prize he wants.
To find out how many games Alex will have to play, we first need to determine how many tickets he needs to earn first.
785 (total tickets he needs) - 284 (tickets he already has) = 501 tickets remaining
Now, we divide the remaining tickets by the number of tickets he earns per game:
501 / 35 = 14.31
Since Alex cannot play a fraction of a game, he will need to play at least 15 games in order to earn enough tickets to win the prize he wants.