Let the admission price for children be ( C ) and for adults be ( A ). From the first group, we have the equation ( 9C + 2A = 50 ), and from the second group, ( 10C + 3A = 61 ). Solving these two equations simultaneously, we find that the admission price for children is ( C = 3 ) and for adults ( A = 10 ). Thus, children's admission is $3 and adults' admission is $10.
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