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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