Give the step-by-step reasoning process and then the final answer. Tate has 32 tickets for a particular game. He then buys two more tickets for the game. His friend Peyton, who has half as many total tickets, drives with him to the game. How many tickets do Tate and Peyton have together?
When Tate bought 2 more tickets, the total number of tickets he has increased to 32 + 2 = 34 tickets. Peyton has half as many tickets, meaning he has 1 / 2 * 34 = 17 tickets. Together, they have 34 + 17 = 51 tickets.
The final answer: 51.