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## 'Magic Potting Sheds' printed from http://nrich.maths.org/

Mr McGregor has a
magic potting shed. Overnight, the number of plants in it doubles.
He would like to put the same number of plants in each of three
gardens, planting one garden each day.

On the first day he puts some plants in the shed. Overnight, they
double.

The next day he plants some in one of the gardens. The remaining
plants double overnight.

The next day he plants some in a second garden, and again the
remaining plants double overnight.

On the final day he plants all the remaining plants in the third
garden.

Use the interactivity below to help you work out how many plants he
should put in the potting shed on the first day, and how many he
should plant in each garden.

Can you find more than one solution?

What do the solutions have in common?

Can you find the smallest number of plants he could use?

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