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On a certain day, 217 people entered an amusement park with admission fees of $15.50 for children and $20 for adults, totaling $3,782 in fees collected. To solve this problem, we set up a system of equations. Let X be the number of children and Y be the number of adults. The total collected and the total number of people create two equations. By solving this system, we can determine that there were 118 children and 99 adults admitted to the park on that day.
