Last week's solution:
There were 8 Neopets listed: Red Techo, Green Peophin, Pink Cybunny, Ghost Lenny, Maraquan Scorchio, Blue Nimmo, Yellow Bori and Shadow Eyrie.
Each of these is the name of a Neopets Trading Card (see
http://www.neopets.com/tcg/checklist.phtml). Each card appears in one or more sets of trading cards:
Red Techo - Mystery Island (#43)
Green Peophin - Mystery Island (#74)
Pink Cybunny - Haunted Woods (#42)
Ghost Lenny - Haunted Woods (#52)
Maraquan Scorchio - Curse of Maraqua (#13) and Travels in Neopia (#20)
Blue Nimmo - Darkest Faerie (#61) and Travels in Neopia (#82)
Yellow Bori - Darkest Faerie (#109)
Shadow Eyrie - Darkest Faerie (#89)
We are given the winnings of the Red Techo (43), Ghost Lenny (52) and Blue Nimmo (82). The only remaining question is which number to use for the Maraquan Scorchio. As we look at the card sets of the Neopets, we notice that the first two are in the Mystery Island set, the second two in the Haunted Woods set, and the last two in the Darkest Faerie set. So it makes sense to have the Maraquan Scorchio in the same set as the Blue Nimmo and we'll choose the Maraquan Scorchio number from the Travels in Neopia set (#20).
Thus the answer is 43 + 74 + 42 + 52 + 20 + 82 + 109 + 89 = 511.