### Brain Teasers

# How Many Children?

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?

### 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.

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## Comments

It was fun solving this problem..it was very easy though

*smacking myself in the head*

Spiders have 8 legs. Ants have 6.

DUH!

Good job messing me up!

Spiders have 8 legs. Ants have 6.

DUH!

Good job messing me up!

"exactly 10 times more" means a total of 11 times as many. Either the problem or the solution is incorrect. Good teaser, otherwise.

great teaser!!!

Thanks for fixing the problem statement!

oh i didnt realise how many legs ants had

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