Your family is planning to take the Amtrak train from Hartford to New York City for a day trip. As a result of some research you learn that your friend Jackie took the train with a group of 3 adults and 5 children and it cost them $269.50. A cousin also took the train to the city with a group of 2 adults and 3 children and it cost them $171.50. Find the price of an adult’s ticket and the price of a child’s ticket.