SOLUTION: There are 45 cows and chickens in the farmyard. One qiet afternoon, Jack counted and found that there were 106 legs in all. How many cows and how many chickens are there?

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Question 123815: There are 45 cows and chickens in the farmyard. One qiet afternoon, Jack counted and found that there were 106 legs in all. How many cows and how many chickens are there?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of cows (4 legs each)
y= number of chickens (2 legs each)

x+y=45
4x+2y=106
Solve the system by multiplying first equation by -2:
-2x-2y=-90
4x+2y=106

Add the equations together:
2x=16
x= 8 cows
45-8=37 chickens

Check:
4*8+2*37
32+74=106 total legs

R^2