There are 7 girls with 2 legs each each girl has a bag of 7 big cats and each big cat has 7 little cats each cat has 4 legs how many legs are there in total?

Answer 1

If you refer to the number of girls as "g", cats as "c", kittens as "k", and the total number of legs as "l", then you can say:

l = 2g + 4c + 4k

Now, you know that every cat has seven kittens, which means:

k = 7c

So you can take that value and plug it in to the equation:

l = 2g + 4c + (4 x 7c)

= 2g + 4c + 28c

= 2g + 32c

You also know that each girl is carrying 7 cats, which tells you:

c = 7g

and that too can be plugged in:

l = 2g + (32 x 7g)

= 2g + 224g

= 226g

Finally, you are told that there are 7 girls, so you can plug that in to get the final answer:

l = 226 x 7

= 1582

So there are 1582 legs altogether.

You could also restate that by saying:

l = 2×71 + 4×72 + 4×73

∴ l = 14 + 196 + 1372

∴ l = 1582