Problema Solution

Ninety-four passengers rode in a train from city a to city b. Tickets for regular coach seats cast $126. Tickets for sleeper car seats cost $294. The receipts for the trip totaled $19,404. How many passengers purchased each type of ticket.

Answer provided by our tutors

let


r = the number of regular coach seat tickets purchased

s = the number of sleeper car seats tickets purchased


Ninety-four passengers rode in a train from city a to city b


r + s = 94


Tickets for regular coach seats cast $126. Tickets for sleeper car seats cost $294. The receipts for the trip totaled $19,404.


126*r + 294*s = 19404


by solving the system of equations


r + s = 94

126*r + 294*s = 19404


we find


r = 49 tickets


s = 45 tickets


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there were 49 regular coach seat tickets and 45 sleeper car seats tickets purchased.