turkey-yks 2023 Q28
Combinatorial Counting (Non-Probability)
A tour company has offered three different transportation options: train, bus, and airplane for a tour it will organize to Adana. The company's per-person fare information for this tour according to transportation vehicles and some information about the number of people who chose these transportation vehicles are given in the table below.
| \cline{2-4} \multicolumn{1}{c|}{} | Train | Bus | Airplane |
| Fare (TL) | 300 | | 750 |
| Number of People | | 108 | |
Among the people who participated in this tour; the number of those who chose the bus for transportation is equal to 6 times the number of those who chose the airplane. Also, in this tour, the total fare paid by those who chose the train for transportation is equal to the total fare paid by those who chose the airplane.
Accordingly, what is the total number of people going to Adana with this tour?
A) 165 B) 171 C) 177 D) 183 E) 189