Puzzle on 12/21/02

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It is busy at the North Pole.
Santa took a count of his reindeer and his elves.
He counted 32 heads and 80 legs.

How many elves are there?
And how many reindeer are there?

Bonus question:

How many cookies should Ms. Claus bake?
Explain your answer.

The solution

Each reindeer has 4 legs, and each elf has 2 legs,
and they all have 1 head.

You can try 16 reindeer and 16 elves, (16 + 16 = 32 heads)
then see how many legs that would be.

16 x 4 = 66 reindeer legs and 16 x 2 = 32 elf legs
66 + 32 = 98 legs
This solution is wrong.

If you keep experimenting, you will discover
that there are 8 reindeer and 24 elves.

8 + 24 = 32 heads (correct)
8 x 4 = 32 reindeer legs and 24 x 2 = 48 elf legs
32 + 48 = 80 legs
Correct.


There is no single correct answer to the bonus question:
How many cookies should Ms. Claus bake?
It is up to you how to decide that.

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