Courtney and Megan rode the train from the station at the beginning of the line all the way to the terminal at the end of the line. When they got off the train in the city, 70 people got off along with them. Even though it was an express route, the train made 4 stops. People got on the train, but no one got off until they reached the terminal in the city.
Two more passengers boarded the train at the first stop. After making the second stop, the train had three times as many people as it had when it entered the station. Then, just before the doors closed, 3 more people hopped on.
After the third stop, the number aboard the train was 50% more than it had been when it entered that station. The number of people getting on at the fourth stop doubled the total number of passengers.
How many people boarded the train with Courtney and Megan at the beginning of the line and at each additional stop?
Answer
Courtney and Megan boarded the train along with 3 other people.
5 started on the train
First stop: 2 got on.
7 on the train
Second stop (A): 14 got on
21 = 3 x the amount on the train before the 2nd stop
Second stop (B): 3 more got on before doors closed
24 on the train
Third stop: 12 got on
36 on the train (50% more than 24)
Fourth stop: 36 got on to double from 36, therefore, doubling the number of passengers.
72 on the train, or 70 not including Courtney and Megan
