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The admission fees at the amusement park are $15.50 for children and $20 for adults. On a specific day, 217 people entered the park, collecting $3,782 in fees. To solve for the number of children and adults, we establish a system of equations. Let X be the number of children and Y be the number of adults. The equations represent the total money collected and the total number of people entering the park. By setting up and solving these equations, we can determine how many children and adults were admitted.
