January 26, 2015

Parrots and Cages Puzzle

Tina has some parrots and some cages for the parrots.
If she put 4 parrots into each cage then she will have 1 cage left.
If she put 3 parrots into each cage then she will have 1 parrot left over. How many parrots and cages does she have?

5 comments:

  1. AnonymousJanuary 28, 2015 at 5:19 PM

    13 Parrots
    4 Cages

    ReplyDelete
  2. AnonymousJanuary 28, 2015 at 6:56 PM

    what about 5 cages and 16 parrots.

    ReplyDelete
  3. ÓlafurJanuary 29, 2015 at 3:34 PM

    Tina has 5 cages and 16 parrots.
    Putting 4 parrots in a cage (16 parrots/4 cages)) leaves one cage empty. Putting 3 parrots in each case (15 parrots/5 cages) leaves one parrot without a cage.

    ReplyDelete
  4. AnonymousJanuary 30, 2015 at 1:13 AM

    Think I'm going with 16 parrots and 5 cages.

    Big_Lar

    ReplyDelete
  5. AnonymousFebruary 1, 2015 at 10:46 AM

    n = number of cages
    p = number of parrots

    p = 4(n-1)
    p = 3n + 1
    3n + 1 = 4(n - 1)
    3n + 1 = 4n - 4
    5 = n
    p = 3 * 5 + 1 = 16

    ReplyDelete