Let the number of tulips be represented as ( T ) and the number of roses as ( R ). According to the ratio given (9:10), we can express this as ( T/R = 9/10 ) or ( R = (10/9)T ). Given that ( T + R = 57 ), we can substitute ( R ) to find ( T + (10/9)T = 57 ), leading to ( (19/9)T = 57 ). Solving this gives ( T = 27 ) and ( R = 30 ), so there are 3 more roses than tulips in the garden.
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