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