If Mariam remains with 30 marbles after giving her brother 60 marbles, she had 30+60 = <<30+60=90>>90 marbles.
Mariam's sister receives twice as many marbles as her brother, a total of 2*60 = <<2*60=120>>120 marbles.
The total number of marbles before giving any to her brother or sister is 120+90= <<120+90=210>>210
Savannah is to receive three times as many marbles as Mariam has to remain with, a total of 3*30 = <<3*30=90>>90 marbles.
Before giving out any marble, Mariam has 210+90 = <<210+90=300>>300 marbles.
#### 300