A train left the city with some passengers. At the first station, ²₅ of the passengers alighted and 27 boarded the train. At the second train station, ¹₃ of the passengers alighted and 45 boarded the train. All 113 passengers alighted from the train at the final train station. How many passengers were there in the train when it left the city?

	Number of passengers
City	5 u
At the first train station	- 2 u + 27
When it left the first station	3 u + 27
		3 p
At the second train station		- 1 p + 45
When it left the second train station		2 p + 45

Number of passengers who alighted at the final train station = 113 

2 p + 45 = 113
2 p = 113 - 45
2 p = 68

1 p = 68 ÷ 2 = 34

Number of passengers when it left the first train station
= 3 p
= 3 x 34
= 102

3 u + 27 = 3 p
3 u + 27 = 102
3 u = 102 - 27
3 u = 75

1 u = 75 ÷ 3 = 25

Number of passengers in the train when it left the city
= 5 u
= 5 x 25
= 125

Answer(s): 125