Problema Solution
Ninety-nine passengers rode in a train from City A to City B. Tickets for regular coach seats cost $124. Tickets for sleeper cars seats cost $294. The receipt for the trip totaled $21,286. How many passengers purchased each type of ticket?
Answer provided by our tutors
Let
x = the number of passengers that purchased tickets for regular coach seats
y = the number of passengers that purchased tickets sleeper cars seats
Ninety-nine passengers rode in a train from City A to City B:
x + y = 99
The receipt for the trip totaled $21,286:
124x + 294y = 21286
We have the following system of equations:
x + y = 99
124x + 294y = 21286
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x = 46 tickets for regular coach seats
y = 53 tickets for sleeper cars seats
46 passengers purchased tickets for regular coach seats.
53 passengers purchased tickets for sleeper cars seats.