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The Puzzling Sweet Shop

Age 5 to 11
Challenge Level Yellow starYellow star
Primary curriculum
  • Problem
  • Getting Started
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Kaylee J sent us answers to the Puzzling Sweet Shop problem:

Rosie can buy:

one lollypop and one mini egg.
one chocko bar, one mini egg and one chew.

Are there any other combinations of sweets Rosie can buy? Let us know if you think there are.

Kaylee goes on to answer the rest of the questions:

Alice bought two mini eggs. I know this because this is the only combination of sweets which add up to 20p where she bought at least one set of every sweet.

James bought 4 chocko bars. I know this because it is the only sweet that has a price that can divide into 20p exactly when chews are not included.

Katie bought 2 chocko bars, one lollypop, and mini egg.

Henry bought one chocko bar, one mini egg, and 6 chews.

There may be some other sweets that Henry could buy too. Jessica suggests 4 chews and 4 mini eggs. I wonder if there are any other combinations?

During the 2020 Lockdown we had this solution come in from a pupil at St. Thomas' London

Thank you very much this is a really good submission.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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