SOLUTION: There are pigs and chicken in the farm. The total no. of heads and legs of both animals is 100. How many pigs and chicken are there in the farm ?

Question 153102: There are pigs and chicken in the farm. The total no. of heads and legs of both animals is 100. How many pigs and chicken are there in the farm ?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
There are pigs and chicken in the farm. The total no. of heads and legs of both animals is 100. How many pigs and chicken are there in the farm?
:
Let p = no. of pigs
Let c = no. of chicks
:
Legs expression:
4p + 2c
;
Head expression:
p + c
:
no. of legs = 100 - no. of heads
:
(4p + 2c) = 100 - (p+c)
4p + 2c = 100 - p - c
4p + p + 2c + c = 100
5p + 3c = 100
5p = 100 - 3c
p = 100/5 - (3/5)c
p = 20 - .6c
;
p has to be an integer, what integer value for c will provide this?
:
Turns out c = multiples of 5 from 5 thru 30 will satisfy
c p
5 17
10 14
15 11
20 8
25 5
30 2
:
Examples
5 chicks have 10 legs + 5 heads total = 15
17 pigs have 68 legs + 17 heads total = 85
and
30 chicks have 60 legs + 30 heads total = 90
2 pigs have 8 legs + 2 heads total = 10

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