Backpacks and cats

4 shiney stars

There are 7 girls in a bus

Each girl has 7 backpacks

In each backpack, there are 7 big cats .

For every big cat there are 7 little cats

Question: How many legs are there in the bus?

 

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Answer

10990 legs

My method for solving this was the following:

Girls = 7
BackpacksPerGirl = 7
BigCatsPerBackpack = 7
LittleCatsPerBigCat = 7

TotalBackpacks = Girls x BackpacksPerGirl or 49
BigCats = BigCatsPerBackpack x TotalBackpacks or 343
LittleCats = LittleCatsPerBigCat x BigCats or 2401

GirlsLegs = Girls x 2 legs or 14
plus
BigCatsLegs = BigCats x 4 legs or 1372
plus
LittleCatsLegs = LittleCats x 4 legs or 9604
equals
10990

 




Difficulty
  • Moderate
Type
  • Mathematical
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Comments

Why would backpacks have legs???
- Kelly (24 Mar 2009)

zero! buses dont have legs sillys.
- sarah (1 Mar 2010)

how is that posible i got 9,422?
- Katie. (2 Mar 2010)

what about a bus driver if since they are on a bus
- jason (10 Mar 2010)

they didnt count the bus driver
- (28 Aug 2010)

Yes they didn't count the bus driver why would they be on a bus to go nowhere. Also,Sarah it said in the bus not on it.
- Bob (25 Sep 2010)

rice
- tim (27 Feb 2011)

All added up I got 16662 including the bus driver and I don't muck up calculations and those calculations are wrong
- Jerome (9 Jul 2011)

I got 10,990. everyone: good point on bus driver, but since the riddle didn't mention one, (it didn't, right?) i'm assuming that it shouldn't be included in the calculations. Maybe one of the girls drives the bus?
- Lex (20 Jul 2011)

the answer is 2401 because you do 7 times 7 times 7 times 7 times 7 wich equels 2401
- alex (2 Aug 2011)

i got 212...

- kate (19 Jan 2012)

legs on girls 14
big cats = 7*7*7 = 343
Legs on big cats = 343*4 = 1372
Little cats = 343*7 = 2401
Legs on little cats = 2401*4 = 9604

total legs = 14+ 1372+9604=10990

Plus 2 more if there is a driver!
- (29 Jul 2013)

I got 10990 duhh
- lexi johnson (3 Apr 2014)

Why does 1 girl have 7 backpacks?
- (7 Aug 2014)

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