Brainteasers

Wuzzles

In Rainbow Land there are lots of wuzzles.  Wuzzles are all green, pink or blue and have either big ears or small ears. They like to live together in houses.  In one wuzzle household, all the following statement are true:

  • There are more green wuzzles than any other colour
  • There are equal numbers of big-eared  greens and small-eared greens
  • There are three wuzzles with big ears
  • There are twice as many big-eared greens as big-eared pinks
  • There are three times are  many pink wuzzles as blue wuzzles
  • How many of each kind of wuzzle (big-eared green, small-eared green, big eared pink,…) are there in this household?

In another wuzzle household, all of the statements are true:

  • There are the same number of pink wuzzles as green wuzzles
  • There are twice as many big-eared green wuzzles as small-eared green wuzzles
  • There are the same number of big-eared green wuzzles and big-eared blue wuzzles
  • All but one of the wuzzles have big ears

How many of each kind of wuzzle are there in this household?

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