How many passengers purchased each type of ticket?

Question

94 Passengers road in a train from city A to city B. Tickets for regular coach seats cost $126. Tickets for sleeper cars seats cost $286. The receipts for the trip totaled $19,204. How many passengers purchased each type of ticket?

Answer 1

The number of passengers with $126 tickets is x, and

The number of passengers with $286 tickets is y

Given:

x(126)+y(286)=19204   (1)  and

x+y=94                      (2)

From (2) you get:

x=94-y and plug this in (1), you get:

(94-y)(126)+286y=19204

11844-126y+286y=19204

160y=7360

y=46 number of passengers with $286 tickets

x=94-46=48 number of passengers with $126 tickets