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The admission at the amusement park is $15.50 for children and $20 for adults. Total fees collected were $3,782 from 217 people entering. To solve, set up system of equations with X as children and Y as adults. Equations: 15.50X + 20Y = 3,782 and X + Y = 217. Solve for X and Y to find how many children and adults entered the park.