Don't throw away that old tea, put it in your house plants. They like to have be watered with tea every once in a while. (old tea leaves make good mulch, too).
I throw all of my teabags - no matter the kind - in my compost bucket, which is really just a Folger's plastic coffee container with a lid that I keep in my fridge. I also toss in the used coffee grounds, filter and all in there, along with bits of vegetables, egg shells, etc. When the bucket is full, out to the compost pile it all goes!
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