（UK Latymer $11+$ Mathematics Sample Paper$1$ Question $$26$$）  Some passengers are travelling on a bus. At the first stop, two fifths of the passengers got off. At the next stop, one third of the remaining passengers got off, which left $22$ people. How many passengers were on the bus at the start? 
Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base