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The admission at an amusement park is $15.50 for children and $20 for adults. On a certain day 217 people entered the park and the admission fees collected totaled $3,782. How many children and how many adults were admitted? So to solve this problem were going to set up a system of equations and then solve the system. Were trying to find how many children and how many adults entered the park on this day. So we have two unknown values so lets let X equal the number of children, and well let Y equal the number of adults. Now lets work through the given information. The fee for each child is $15.50 cents and the fee for every adult is $20. We also know there was a total of 217 people that entered the park on this day and the total fees collected was $3,782. So one equation will represent the amount of money collected and the other equation will be the number of people that entered the park. Well if X is the number of children and Y is the number of adults, and there were 217 peop