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le total, then the total amount collected can be expressed as 15.50X + 20Y = 3,782. Additionally, the total number of people entering the park can be represented as X + Y = 217. To solve this system of equations, we can substitute the value of X from the second equation into the first equation. By solving for X and Y, we can determine that 122 children and 95 adults entered the amusement park on that day.