At every stop after the first, half of the passengers leave the bus, and no new passengers board after the first stop. If only 4 people get off at the fourth stop, how many passengers boarded the bus at the first stop?

Question: At every stop after the first, half of the passengers leave the bus, and no new passengers board after the first stop. If only 4 people get off at the fourth stop, how many passengers boarded the bus at the first stop?Solution:After stop 4: The number of people on the bus = 4After stop 3: The number of people on the bus = 8After stop 2: The number of people on the bus = 16After stop 1: The number of people on the bus = 32Hence, the number of passengers boarded the bus at the first stop = 32