who likes brain teasers? heres a good one

well here it goes. some girl went to a farm the farm owner had only pigs and hens. the girl looked in the barn and saw 38 heads of animlas she saw 100 legs. how many pigs were there? how many hens were there? show your work to.

I hate math... :shk::shk::shk::shk:


I'd rather drink..

me too thats why i posted hopefully the person will help me. i dont just want the answer i want you to show me how you got it so i can learn.

Well I flunked math because I never did homework, but I understood it all but just didn't care. I solved this one and it isn't real difficult:

First I assigned variables to pigs and hens.
Pigs=p and Hens=h

Then I made two equations which both must be true in order to solve this; the first one is the number of pigs and hens count by their heads:

p+h=38

then I made the second equation showing the logic behind the number of feet:

2h+4p=100,
where each hen has 2 feet and pigs have 4.

next I solved the value for h in the feet equation changing the numbers around in the first equation (follow this):

p+h=38;
h=38-p
now add this to the second equation

2h+4p=100; so
2(38-p)+4p=100
now simplify this for p

2(38-p)+4p=100;
76-2p+4p=100;
76+2p=100;
2p=100-76;
2p=24;
p=12;
therefore the # of pigs is 12.

put this answer back into the first equation:
h+p=38;
h+12=38
h=38-12 and
h=26.

therefore their are 26 hens.

Now check your work;
does 12 pigs and 26 hens = 38 heads? Yes.

Does 12 pigs and 26 hens have 100 legs?
12 pigs X 4 legs = 48 legs and,
26 hens X 2 legs = 52 legs.
48 + 52 legs = 100 legs! Yes.

Hope this helps.

thank you very much. I probably couldve done it if i put enough time into it.

Oink to the power of two.

Cluck.

26 chickens...12 pigs, took me probably 30 seconds to figure it out