The first 3 ducklings find 3 x 5 = <<3*5=15>>15 snails
The next 3 ducklings find 3 x 9 = <<3*9=27>>27 snails
They find a total of 15 + 27 = <<15+27=42>>42 snails
Mother duck finds 42 x 3 = <<42*3=126>>126 snails
The last group has 8 - 3 - 3 = <<8-3-3=2>>2 ducklings
They find 126/2 = <<126/2=63>>63 snails each
The family of ducks found a total of 42 +126 + 63 + 63 = <<42+126+63+63=294>>294 snails
#### 294