I don't recommend mixing a 1/8" chain with a 3/32" cogs/chainrings. I tried it on my setup and it was noisy as hell. The big problem was that the chain would jump when the inner chain plate would get caught on the lip of the chainring teeth. This could lead to throwing a chain.
I would drop the few extra bucks that it cost to go all 1/8". It feels so much better, with less slop, and it is is ninja quiet.