Browse Teasers
Search Teasers

## Cages and Canaries

Math brain teasers require computations to solve.

 Puzzle ID: #6953 Fun: (2.66) Difficulty: (1.27) Category: Math Submitted By: Cascas

I am the owner of a pet store. If I put in one canary per cage, I have one bird too many. If I put in two canaries per cage, I have one cage too many. How many cages and canaries do I have?

4 birds and 3 cages

Solution:

let x = the number of canaries and y = the number of cages. You can set up two equations using the two situations given.

First, if there is one canary per cage, then there is 1 cage too many (in other words, there is one more bird than cages): x - y = 1

Second, if there are two canaries per cage, then there is 1 cage too many (in other words, there is one more cage than half the number of canaries): y - x/2 = 1

Solve the two equations to get x = 4 and y = 3.

Hide

## What Next?

See another brain teaser just like this one...

Or, just get a random brain teaser

If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.

 something Oct 21, 2002 so easy, it doesn't deserve a comment whoops! waffle Feb 27, 2005 This was really easy - it was the second answer I tried. It was still fun, though. waffle Feb 27, 2005 This was really easy - it was the second answer I tried. It was still fun, though. Jimbo May 13, 2012 Certainly don't need all that Algebra