Question

На три поезда: скорый пассажирский и экспресс, отправляющиеся из Москвы в Псков, продано 1 040 билетов. На скорый и пассажирский поезда продано 746 билетов, на пассажирский поезд и экспресс - 678 билетов. Сколько билетов продано на каждый поезд?

Answer 1

678+746=1424билета с двумя пассажирскими
1424-1040=384билета на пассажирский
678-384=294билета на экспресс
746-384=362билета на скорый

Answer 2

1) 1040 - 746 = 294 (билетов) - продано на экспресс.
2) 1040 - 678 = 362 (билета) - продано на скорый поезд. 
3) 294 + 362 = 656 (билетов) - продано на экспресс и скорый поезд.
4) 1040 - 656 = 384 (билета) - продано на пассажирский поезд.
Ответ: 294 билета продано на экспресс, 362 билета продано на скорый поезд, 384 билета продано на пассажирский поезд. 
Проверка: 294 + 362 + 384 = 1040

Answer 3

Calculation of Tickets Sold for Each Train

To determine the number of tickets sold for each train, we can use the given information:

- Total tickets sold for all three trains: 1,040 - Tickets sold for the fast train and the passenger train: 746 - Tickets sold for the passenger train and the express train: 678

Let's calculate the number of tickets sold for each train:

1. Fast Train: - Tickets sold for the fast train and the passenger train: 746 - Tickets sold for the passenger train and the express train: 678 - Subtracting the common tickets from the above two sets: 746 - 678 = 68 tickets sold exclusively for the fast train.

2. Passenger Train: - Tickets sold for the fast train and the passenger train: 746 - Tickets sold for the passenger train and the express train: 678 - Subtracting the common tickets from the above two sets: 746 - 678 = 68 tickets sold exclusively for the passenger train.

3. Express Train: - Tickets sold for the passenger train and the express train: 678 - Subtracting the common tickets from the above two sets: 678 - 68 = 610 tickets sold exclusively for the express train.

Therefore, the number of tickets sold for each train is as follows:

- Fast Train: 68 tickets - Passenger Train: 68 tickets - Express Train: 610 tickets

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