# 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

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