I’ll confess I did it by what mathematicians politely refer to as “enumeration” (translation:  breaking rocks).  I came up with 17 solutions, as follows.  Each set of five numbers is arranged:  pennies, dimes, quarters, 50-cent pieces, dollar pieces.

60-39-0-1-0

65-31-3-1-0

70-23-6-1-0

75-15-9-1-0

80-7-12-1-0

75-20-1-4-0

80-12-4-4-0

85-4-7-4-0

90-1-2-7-0

70-28-0-1-1

75-20-3-1-1

80-12-6-1-1

85-4-9-1-1

80-17-0-1-2

85-9-3-1-2

90-1-6-1-2

90-6-0-1-3