Parrots and Cages, Math Puzzles

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

Parrots and Cages Puzzle

The number of parrots is equal to number of cages multiplied by 4 minus one left.
That is :
       P = 4(C - 1) -> (1)
Then the number of parrots will be equal to the number of cages times three plus one left.
That is :
       P = 3C + 1 -> (2)
Now substitute the 1st and 2nd equations:
       P = 4(C - 1)
       P = 3C + 1
       C = 5, P = 16.
Therefore Parrots = 16 and cages = 5.

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

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