TripleT, you could use:
10T clutch
15T J/S input
10T J/S output
54T axle sprocket
To end up with an 8:1 ratio.
With your 18" tires at 3600rpm your estimated top speed would be 23mph.
There's lots of other gearing combinations you could choose that would also result in a 8:1 ratio. Deciding really comes down to what jackshaft and axle sprockets are available to fit at reasonable prices.
I don't have a sprocket now.
Have you found any place that sells axle sprockets to fit your kart?
If not, post a pic of your axle (measure and post your axle diameter) and the bolt-circle hole measurements where the sprocket would bolt on. Measure across from center to center of the bolt holes like this pic: