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2016 TIMC keystage2-EMIC team Question 6

xIMC · 2016 TIMC keystage2-EMIC team

Question 6

A hat is put on the head of each of 33 children. Each hat is red, white or blue. Each can see the hats of all other children except his or her own. Willem sees three times as many red hats as blue hats. Maxima sees twice as many white hats as blue hats. What is the colour of Maxima’s hat?

Submission guidance: Give a full solution, as required by the examination cover.