Nate needs 250 tickets to get the prize he wants at the arcade. He already has 73 tickets and can earn 15 tickets each time he plays an arcade game. How many games will he have to play to have enough tickets to win the prize he wants?

Nate needs to play 12 full games to earn enough tickets to win the prize at the arcade since playing 11.8 games is not possible, and he must play full games to earn tickets.

Explanation:

Nate needs 250 tickets to get the prize he wants at the arcade, but he already has 73 tickets. Since Nate earns 15 tickets for each arcade game he plays, we need to calculate how many more games he needs to play to reach the total required number of tickets. First, we must find out how many additional tickets he needs by subtracting the tickets he already has from the total needed: 250 tickets - 73 tickets = 177 tickets.

Now, to find the number of games Nate must play, we divide the additional number of tickets needed by the number of tickets earned per game. This gives us: 177 tickets ÷ 15 tickets/game = 11.8 games. Since Nate cannot play a fraction of a game, he needs to round up to the next whole number. Thus, Nate must play 12 games to earn enough tickets for the prize.

Therefore, the answer to the question is that Nate will have to play 12 games to win enough tickets for the prize he wants at the arcade.