NRICH: Magic Potting Sheds
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 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?
Age 11 to 14
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Resource k12
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 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?
Age 11 to 14