A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. A group of 8 people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group? Write a system of linear equations based on the description. Use X to represent the number of adults and Y to represent the number of children.

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Total price paid : 86=12*X+10*Y Total number of people : 8=X+Y Hence Y=8-X thus 86=12*X+10(8-X) => 86-80=2X => X=3 => Y=5 There were 3 adults and 5 children

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