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Solution to Friday's starter

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Mrs Elliott's answer:

Fantastic reasoning from Zoe - well done!

Here’s my answer for today’s Maths Challenge.

I think that if Barry opens a box with the wrong label on and, for example, he picks up a pear from the box labelled PEARS AND ORANGES, he knows that that box can’t have any oranges in because all the labels are wrong. So, Barry knows where all other labels go as the other two boxes are incorrectly labelled and you just need to swap them around. Barry would have to go to the incorrectly labelled, PEARS AND ORANGES first, because then he knows that that box must only contain oranges or pears.