SOLUTION: Farmer Fran has 47 barnyard animals, consisting of only chickens and sheep. If these animals have 138 legs, how many of each type of animal are there?

Question 178046: Farmer Fran has 47 barnyard animals, consisting of only chickens and sheep. If these animals have 138 legs, how many of each type of animal are there?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Farmer Fran has 47 barnyard animals, consisting of only chickens and sheep. If these animals have 138 legs, how many of each type of animal are there?
:
let c = no. of chickens
let s = no. of sheep
:
Total animal equation
c + s = 47
:
Total legs equation:
2c + 4s = 138
:
multiply the total animal eq by 2, and subtract from the total leg equation
2c + 4s = 138
2c + 2s = 94
----------------subtraction eliminates c
0 + 2s = 44
s =
s = 22 sheep
then
47 - 22 = 25 chickens
;
:
Check solutions in the leg equation
2(25) + 4(22) =
50 + 88 = 138

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