A Simple Problem of Cherries

Algebra Level 2

Swarna has a bag of cherries, and eats $\frac { 1 }{ 2 }$ of them, then passes the rest to Madhur, who eats $\frac { 1 }{ 3 }$ of the remainder. The bag is then passed to Bala, who eats $\frac { 1 }{ 4 }$ of the remaining cherries.

There are 6 cherries left. How many were there originally?