riddle I need help plzzzz

Question

You are the onwer of a bird store, and you use them to organize your cages. If you keep 1 bird per cage, there will be one bird outside of the cage, therefore it will be missing cages. If you keep two birds per cage, there will be one empty cage. How many birds and cages do you have?
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Anonymous · Accepted Answer

If you have 3 cages and 4 birds, then, with one bird in each cage, there will be one bird left out of a cage, and, with two birds in each cage, there will be one empty cage.

CalifJim · Answer

There are B birds and C cages.

AnonymousIf you keep 1 bird per cage, there will be one bird outside of the cage, therefore it will be missing a cage.

There is one more bird than there are cages. You'd need to add a cage to make the number of birds equal to the number of cages.

B = C + 1

AnonymousIf you keep two birds per cage, there will be one empty cage.

An empty cage means two birds "missing" to fill that cage, so you'd need to add two birds to make the number of birds equal twice the number of cages.

2C = B + 2
________________

But if B = C + 1, then 2C = (C + 1) + 2

Reducing algebraically, C = 3 and B = 4.

Four birds, three cages.

CJ

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