SOLUTION: Hi. I don't know how to set this up and solve it. Thank you. There are 38 animals in a farmyard. Some are cows and some are chickens. In total there are 104 legs. How many chick

Question 703427: Hi. I don't know how to set this up and solve it. Thank you.
There are 38 animals in a farmyard. Some are cows and some are chickens. In total there are 104 legs. How many chickens are there?
Found 2 solutions by mouk, MathLover1:
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
Let =number of chickens
and =number of cows

"There are 38 animals in a farmyard":
so

"In total there are 104 legs":
Chickens have two legs, cows have 4 legs
so,
or,

But from 1st equation so
substituting for in 2nd equation gives:

So there are 24 chicken (and 14 cows)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

There are animals in a farmyard. Some are and some are . In total there are legs.
cows have four legs, so it will be cows' legs
chickens have two legs, so it will be chickens' legs
since there are legs, we have
......eq. 1
since given that there are animals in a farmyard, we have
.........eq. 2
now solve this system:
......eq. 1
.........eq. 2
______________________________
start with .........eq. 2 and solve for
.....substitute it in eq. 1
......eq. 1...solve for

....so, there are chickens
go back to and find

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