Everytime a half-life passes, exactly one-half of the previous amount remains. How many half-lifes must pass in order for 1.20 grams of Ar-35 to decay to 0.15 grams?
After 1 half-life, 0.60 grams remain.
After 2 half-lifes, 0.30 grams remain.
After 3 half-lifes, 0.15 grams remain.
So three half-lifes pass in 5.49 seconds. That means the half-life is 5.49 seconds divided by 3, or 1.83 seconds.
I hope that helps. Good luck!