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?
:
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 = {{{44/2}}}
s = 22 sheep
then
47 - 22 = 25 chickens
;
:
Check solutions in the leg equation
2(25) + 4(22) =
50 + 88 = 138