###### Asked in Math and ArithmeticBrain Teasers and Logic PuzzlesAlgebra

# There is a bus with 7 children inside. Each child has 7 bags. Inside each bag there are 7 big cats. Each big cat has 7 small cats. All cats have 4 legs each. How many legs are on the bus?

## Answer

###### Wiki User

###### October 05, 2013 7:51AM

**As a riddle, the answer is zero legs on the bus since
the bus has wheels instead of legs.**

**But as a maths problem;** It's not a tricked
question -- just a straightforward maths problem

*Confirmed answer is 10990 legs.*

§ **Let's say the whole situation simply :**

- There are 7 girls.

- Each girl has 7 backpack

- Each backpack has 7 big cats

- Each big cat has 7 little small cats.

§ **Question: How many legs are there in the
bus?**

§ *Let's focus on each part of the question systematically,
write down on a piece of paper if you have to, following my steps
of chains.*

1. Focus on the first girl first:

**A** **B C D E F G**

Girl **A** has 7 backpacks

2. Now focus on first backpack A1 :

**A1 A2 A3 A4 A5 A6 A7**

Backpack **A1** has 7 big cats

3. Now focus on first big cat :

**1** **2 3 4 5 6 7**

Ø Each big cats have **7 small cats** (that's the
end of the focus)

Systematically, 7 small cats has **28 legs (7 *
4)** combined with the big cat that owns this 7 small
cats.

Let's call this the "cat chain", so **cat chain 1**
has 32 legs altogether.

Ø So since there are 7 big cats

7 * 32 = 224 legs

Ø **Therefore each backpack has 224 legs**

Ø **Finally, each girl has 7 * 224 = 1568
legs.**

*Lastly, since there are 7 girls, A to G, there are 7 * 1568
legs (per girl) = 10976 legs.*

Now, since each girl also has 2 legs each;

**SO, (**7 * 2) + 10976 = 10990 legs altogether

Note: Disregarding bus driver, buses and etc…Only focus on the girl and their backpacks!

OrThere are 7*7 = 49 bags and there are 7 + 7*7 = 56 cats in each bag, meaning there are 56*4 = 224 legs in each bag. So including the 7 children that have 2 legs each, there are 7*2 + 49(224) = 10990 legs in total.