BrainBashers - Puzzle ZXGG

After a day picking strawberries, I ended up with a full basket, which is always nice.

I ate 5, and then gave Alex half of the remaining.

I ate another 3, and then gave Billie one third of the remaining.

I ate another 6, and then gave Charlie two thirds of the remaining.

I now had 34 strawberries left. How many did I start with?

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Hint
Try working backwards.

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