Question

Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?

Answer 1

4 parrots

3 cages

Explanation:

Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):

`P=C+1\\C-1=(P)/(2)`

Solving the linear system:

`P-1-1=(P)/(2)\\0.5P = 2\\P=4\\C=P-1=4-1=3`

Bryan has 4 parrots and 3 cages.