A Simple Problem of Cherries

Algebra Level 1

Swarna has a bag of cherries, and eats 12\frac { 1 }{ 2 } of them, then passes the rest to Madhur, who eats 13\frac { 1 }{ 3 } of the remainder. The bag is then passed to Bala, who eats 14\frac { 1 }{ 4 } of the remaining cherries.

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

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