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The admission fees at an amusement park are $15.50 for children and $20 for adults. 217 people entered the park, collecting $3,782 in total fees. To find the number of children and adults, we set up equations. Let X = number of children and Y = number of adults. The first equation represents the total fees collected, while the second represents the number of people. Thus, X + Y = 217 and 15.50X + 20Y = 3,782.
