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Rabbits in the Pen

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

R in Pen
Here are $6$ different rabbits waiting to go to a home. They are in a pen in a pet shop. You'll see $2$ brown, $2$ black and $2$ grey. There is a floppy-eared one and an ordinary one of each colour.

Let's imagine that rabbits can only be one of these $6$ different kinds and there are no other kinds of rabbits. Then:

How many, and of what kind, will there be in a pen if all these statements are true?
  • There are more brown than any other colour
  • There are equal numbers of floppy browns and ordinary browns
  • There are three which have floppy ears
  • There are twice as many floppy browns as floppy whites
  • There are three times as many blacks as whites

How many, and of what kind, will there be in the second shop if all these statements are true?

  • There are the same number of blacks as browns
  • There are twice as many floppy browns as ordinary browns
  • There are the same number of floppy browns as floppy greys
  • All but one are floppy