After a day picking strawberries I had a basket full.

I ate 5 and gave Alex half of the remaining.

I then ate another 3 and 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?

Puzzle Copyright © Kevin Stone

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Hint

What fraction of them did I eat?

Answer

335 strawberries.

Working backwards...

I ended up with 34 strawberries, so I had 102 before giving Charlie two thirds.

I ate 6 myself, so I had 108 before I ate those.

I had 108 strawberries, so I had 162 before giving Billie one third.

I ate 3 myself, so I had 165 before I ate those.

I had 165 strawberries, so I had 330 before giving Alex one half.

Ate 5 myself, so I had 335 before I ate those.

Therefore I started with 335 strawberries.