Problema Solution

Ninety-three passengers rode in a train from City A to City B. Tickets for regular coach seats cost $129. Tickets for sleeper car seats cost $287. The receipts for the trip totaled $19,265. How many passengers purchased each type of ticket?

Answer provided by our tutors

let


x = the number of tickets for regular coach seats


y = the number of tickets for sleeper car seats


Ninety-three passengers rode in a train from City A to City B:


x + y = 93


The receipts for the trip totaled $19,265:


129x + 287y = 19265


by solving the system of equations:


x + y = 93


129x + 287y = 19265


we find:


x = 47 tickets


y = 46 tickets


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47 passengers purchased the regular tickets.


46 passengers purchased the sleeper car tickets.