[Challenge] There are chickens and rabbits in a cage. There are 35 heads and 94 legs. Find the number of each of them WITHOUT USING EQUATIONS.

- LollyLau

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- anonymous

HOw are you supposed to solve this without equations?

- LollyLau

It's possible. It's just that you can't (maybe yet).

- anonymous

I bet you can't show us a solution that doesn't use equations, if not explicitly then implicitly

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- LollyLau

ready for solution?

- Mertsj

No. We're still thinking.

- LollyLau

ok.

- LollyLau

i actually ans a similar problem using this method. (1 day ago also on OpenStudy)

- anonymous

let me try this and see if it works. i think it is really no different from solving the equation

- anonymous

3 5
4 7
____
1 2
2 3
is it right?

- anonymous

I have seen this is in the old mathschallenge.net

- LollyLau

o rly?

- anonymous

Yes 1 star problem.

- anonymous

yup 12 chickens and 23 rabbits - got to be

- LollyLau

your arithmetic isn't bad, satellite

- anonymous

ok that does it. kind of cool huh?

- anonymous

http://mathschallenge.net/problems/pdfs/mathschallenge_1_star.pdf

- LollyLau

Diagram method:
1. Draw 35 circles, representing heads.
Each animal must have at least 2 legs (assume animals are in good condition).
2. Draw 2 "sticks" out of each circle, representing legs.
3. Keep drawing legs until the number of legs reach 94.
4. COUNT.

- anonymous

ok there are like 200 pages here.

- anonymous

Almost the problem "BIRDS AND BUNNIES".
Btw not interesting there is no reason of why shouldn't I use equations here.

- anonymous

Right .... what I should have asked is : "Why solve it without equations?"
It's clearly much faster than barnyard drawings.

- anonymous

agree with ffm

- anonymous

i am fairly certain it is the same. divide by two and subtract, but it does kind of look cool just writing the answer down without variables. i like it

- Mertsj

Oh gee. Can't we just have a little fun without carping?

- anonymous

i still think it is cool, but i can't find the problem on the link ffm sent

- anonymous

Problem ID: 351

- anonymous

@ffm lol, they are not in order!!!

- anonymous

how about a page number. i still can't find it

- anonymous

Page number 16

- anonymous

oh but this is just the regular solve using equation method, i did something different

- anonymous

number of head 3 5
half number of fee 4 7
subtract 1 2
subtract again 2 3

- anonymous

Why is this working?

- anonymous

that is for the first line subtract 3 from 4 and 5 from 7
for second line subtract 1 from 3 and 2 from 5

- anonymous

that is why i thought it was cool

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