Tourists And Buses

Algebra Level 3

A group of tourists are traveling in several buses, each with a maximum capacity of $32$ passengers.

If there are $22$ tourists in each bus, then one tourist would not have a seat. If one bus isn't used, then each bus can hold an equal number of tourists and accommodate all of them.

If $t$ is the number of tourists who are going to travel and there are $b$ buses available, what is the value of $t+b$ ?

Details and assumptions

The presences of the bus drivers are ignored.
The values of $t$ and $b$ are the original numbers of tourists and buses.