Friday, December 07, 2007

POW Dec 3


There is a bus with 7 children inside of it. Each child has 7 backpack. In each backpack there are 7 big cats. Every big cat has 7 small cats. Everything listed above is entirely in the bus. All objects are unique. There is no driver. Every child has 2 legs. Every cat has 4 legs.


QUESTION:How many legs are in the bus? Show or explain how you found your answer.
REMEMBER:
DO NOT Copy the problem and put it in your answer!!!
Your intials are the first thing you type into Blogger!!
Good Luck!


Nice job guys! Many of you not only found the correct answer but were moving towards the correct algrithm. Here is the answer for this weeks blog. have a great weekend!
Ms. L.

Correct answer:7 kids * 2 legs = 14 legs
7 kids * 7 rucksacks = 49 rucksacks
49 rucksacks * 7 big cats * 4 legs = 1,372
legs49 rucksacks * 7 big cats * 7 small cats * 4 legs = 9,604
legs14 + 1,372 + 9,604 = 10,990 legs total.

This may also be shown as a simple powers of 7 problem:
Total legs = 7^1 * 2 + 7^2 * 0 + 7^3 * 4 + 7^4 * 4. This is because there are:7^1 * 2 kids legs7^2 rucksacks (But they don't have legs)7^3 * 4 big cat legs7^4 * 4 small cat legsOf course, 7^2 * 0 could be omitted completely, but I include it just to show the progression of powers of 7.

What's my line?

What's my line?