LeilaLuv, the variables that we do not know is how much tea are you using and what type of green tea.
Many green teas require 2-4 teaspoons per 6 oz. water. I use a scale for greens because I find they are tempermental, but so rewarding when you finally get it right. The general prescribed weight per 6 0z water is 2.3-3 grams but some require much more than that to coax the flavor and aroma out of the leaves, Mao Feng greens require at least 4 grams in my experience.
Anyway, if you want to go that route, here is a great link for great scales.
Don't give up, greens rule!!! Long Jing, aka Dragon Well is a pretty forgiving green tea.