Question

[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.

Answer 1

HOw are you supposed to solve this without equations?

Answer 2

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

Answer 3

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

Answer 4

ready for solution?

Answer 5

No. We're still thinking.

Answer 6

ok.

Answer 7

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

Answer 8

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

Answer 9

3 5
4 7
____
1 2
2 3

is it right?

Answer 10

I have seen this is in the old mathschallenge.net

Answer 11

o rly?

Answer 12

Yes 1 star problem.

Answer 13

yup 12 chickens and 23 rabbits - got to be

Answer 14

your arithmetic isn't bad, satellite

Answer 15

ok that does it. kind of cool huh?

Answer 16

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

Answer 17

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.

Answer 18

ok there are like 200 pages here.

Answer 19

Almost the problem "BIRDS AND BUNNIES".

Btw not interesting there is no reason of why shouldn't I use equations here.

Answer 20

Right .... what I should have asked is : "Why solve it without equations?"

It's clearly much faster than barnyard drawings.

Answer 21

agree with ffm

Answer 22

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

Answer 23

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

Answer 24

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

Answer 25

Problem ID: 351

Answer 26

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

Answer 27

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

Answer 28

Page number 16

Answer 29

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

Answer 30

number of head 3 5
half number of fee 4 7


subtract 1 2
subtract again 2 3

Answer 31

Why is this working?

Answer 32

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

Answer 33

that is why i thought it was cool