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Math and Arithmetic
Brain Teasers and Logic Puzzles
Algebra

# 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?

###### Wiki User

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

§ 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 1has 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!

Or

There 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.

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Aaron Ray

2021-03-22 14:48:00

focus one the girl that is cring

###### Godfred Ayeh

i.First of all, there are 7 children and each child has 2 legs so total legs =14.

ii.Each child has 7 bags so 77= 49 bags. iii. Out of 49 bags contains 7 big cats per bag so 7x49= 343 big cats but each cat has 4 legs so 3434=1372 legs.

iii.each big cat has 7 small cats so 343*7= 2401 but each small cat has 4 legs so total legs =9604 legs

iv.In all total legs = 10,990

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Godfred Ayeh

2020-12-11 14:08:40

Total cats = 2744*4=10,976 + 14 = 10, 990 legs

###### anonymous21

7 children have 14 legs. There are 49 bags in total. There are 343 big cats in total, with 1372 legs. There are 2401 small cats in total, with 9604 legs. The total number of legs on the bus is 10990 (if the bus driver was on the bus then there would be 10992 legs in total).

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7 X 2 = 14

7 X 7 = 49 X 4 = 196

40 X 7 = 343 X 4 = 1,372

14 + 196 + 1,372 = 1,582

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###### charvisseein

hindi ko alam, wala naman ako sa bus

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###### dfdd fdhfg

7 children : there are 7 bags for each child so there are 49 bags.

since each bag has 7 big cats, there are 343 big cats.

343 big cats, have 7 small cats each=2401 small cats

343+2401= 2744

7*2= 14

2744*4=10976

10976+14= 10990 legs in total

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###### # a m e i l a ៹.

There are seven girls.

7 girls

These seven girls have seven bags apiece.

49 backpacks

In each backpack there are seven big cats.

343 big cats

And for each big cat there are seven small cats.

2401 small cats

Now we must find out how many legs are on the bus.

Assuming that each girl has two legs, and each cat has four,

7(2) + 343(4) + 2401(4)

=10990

So there are 10990 legs on the bus.

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###### Yabsira Milkesa

6 more then a number c

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62

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