Bicycles and tricycles

A rental shop has \(47\) bicycles and tricycles altogether. The bicycles and tricycles have a total of \(121\) wheels. Let \(b\) be the number of bicycles and \(t\) be the number of tricycles.

1. Form two equations in \(b\) and \(t\) to represent the information.
2. Hence, solve the simultaneous equations obtained in (a) and find the numbers of bicycles and tricycles.