According to this site, the sled has rack style TM-40's (flat slides). Removing the carbs and fuel bowls to access the jets in this carb is pretty simple and straight forward. The float bowl is pretty much held in place by the nut that holds the water trap hose and a small screw. Unscrew the small screw, then the nut, the bowl comes off. There should be 3 jets under the bowl, pilot, main, and starter jet. All can be easily removed for cleaning of the jet and for making sure the fuel and air passages are clear.
I have some pics of some racks disassembled for cleaning somewhere, if it would be helpful, I'll see if I can locate and post 'em
2007 Dragon RMK 700 155", 2008 RMK 600 155", 95 Prowler 550 2-up, Really OLD AC Cheetah