Let ( x ) be the number of adult tickets sold and ( y ) be the number of child tickets sold. We have two equations:
Substituting ( y = 172 - x ) into the second equation gives us ( 9.90x + 5.60(172 - x) = 1290 ). Solving this, we find ( x = 82 ) and ( y = 90 ). Therefore, 82 adult tickets were sold that day.
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