Working Backwards Concept

Step-by-Step Changes

1) A train left Station A with some passengers. At Station B, 1/3 of the passengers alighted and 20 passengers boarded the train. At Station C, 1/4 of the passengers alighted. In the end, there were 36 passengers left on the station. How many passengers were there on the train when it first left Station A?

2) A train with some passengers left Station A. At Station B, 1/5 of the passengers alighted and 26 passengers boarded the train. At Station C, 1/3 of the passengers alighted and 12 passengers boarded the train. If there were 328 passengers on the train then, how many passengers were there on the train when it left Station A?

3) A bus with some passengers left Bus Stop A for Bus Stop B. At Bus Stop B, 1/7 of the passengers alighted and 6 more boarded the bus. When the bus moved to Bus Stop C, 1/6 of the passengers alighted and there were 75 passengers that remained. How many passengers were there in the bus when it first left Bus Stop A?

4) When an MRT train arrived at City Hall Station, 2/7 of its passengers alighted and 150 passengers boarded the train. When the train arrived at Bugis Station, 1/5 of the passengers on the train alighted and 110 passengers boarded it. After this, there were 790 passengers on the train. How many passengers were there on the train at first?

5) There were some passengers on a bus.
At the first bus stop, 0.5 of the passengers alighted and 14 passengers came on board.
At the next bus stop, 0.25 of the passengers alighted and 10 passengers came on board.
If there 46 passengers now, how many passengers were on the bus at first?