The Mad Cacher

I think all sane people are cachers
and one third of all cachers are sane
but half of all whackos are cachers
with only one whacko that’s sane

If eight whackos are cachers
and ninety are attending my ball
how many cachers are neither
sane nor whacko at all?

Answer = AB

Final cache coordinates = S 29 45.(A+1) (A) (B-3) and E 030 50.(A) (B+4) (A+B+1)

Note: NO heroics are required at the final cache location! Please be careful.

You can check your answers for this puzzle on Geochecker.com.