<human>:  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?
<bot>: How many tickets does Tate have after buying 2 more tickets? ** When Tate bought 2 more tickets, the total number of tickets he has increased to 32+2 = <<32+2=34>>34 tickets.
How many tickets does Peyton have? ** Peyton has half as many tickets, meaning he has 1/2*34 = 17 tickets.
How many tickets do Tate and Peyton have together? ** Together, they have 34+17 = <<34+17=51>>51 tickets.
#### 51