Cages and canaries

Question:

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?

.

.

C

A

P

T

A

I

N

I

N

T

E

R

V

I

E

W

.

.

Answer:  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.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s