T=2-dollar notes, F=5-dollar notes, N=10-dollar notes
1/3 = T / F............................(1)
3/5 = F / N...........................(2)
2T + 1/6[5F] = 783..............(3), solve for T, F, N
T = 174 - number of 2-dollar notes at first
F = 522 - number of 5-dollar notes at first
N=870 - number of 10-dollar notes at first.
$174 + $522 + $870 = $1,566.00 - Total amount he had at first.