Brain Teasers
Brain Teasers Trivia Mentalrobics Games Community
Personal Links
Submit a Teaser
Your Favorites
Your Watchlist
Browse Teasers
All

Cryptography
Group
Language
Letter-Equations
Logic
Logic-Grid
Math
Mystery
Optical-Illusions
Other
Probability
Rebus
Riddle
Science
Series
Situation
Trick
Trivia

Random
Daily Teasers
Search Teasers

Advanced Search
Add to Google Add to del.icio.us

More ways to get Braingle...

How Many Children?

Math brain teasers require computations to solve.

 

Puzzle ID:#29188
Fun:*** (2.73)
Difficulty:*** (2.31)
Category:Math
Submitted By:DrawA****
Corrected By:shenqiang

 

 

 



At the local Sunday School meeting, the teacher brought in some puppies. There were 20 more children than puppies. In the corner of the room, within the ant's nest, there were exactly 10 times as many ants as children. In total, including the teacher, the children, the puppies and the ants, there were 1440 legs in the room. How many children attended?

Open Calculator

Answer

23 children (46 legs): with 230 ants (1380 legs), 3 puppies (12 legs) and 1 teacher (2 legs). If we call the number of puppies P, then there were (P + 20) children and 10 x (P + 20) ants, and a single teacher. If we now count the legs, we get:

Puppies : P x 4 = 4P
Children: (P + 20) x 2 = 2P + 40
Ants : 10 x (P + 20) x 6 = 60P + 1200
Teacher : 2 = 2
-----------
66P + 1242

Giving 66P + 1242 = 1440, which means that P = 3, so there were 3 puppies, hence 23 children.

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.

 






Back to Top
   



Users in Chat : dodger 

Online Now: 11 users and 634 guests

Copyright © 1999-2014 | Updates | FAQ | RSS | Widgets | Links | Green | Subscribe | Contact | Privacy | Conditions | Advertise

Custom Search





Sign In A Create a free account