Andrew M. answered 12/13/17
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
Hi Sadie,
Let c = # chickens
Let s = # sheep
There are 13 animals so:
c + s = 13
chickens have 2 legs, sheep have 4 and there are 36 legs so:
2c + 4s = 36
We can factor out a 2 here since all are even numbers:
2(c+2s) = 2(18)
c + 2s = 18
You now hqve two equations:
c + s = 13
c + 2s = 18
subtract first equation from the second
c + 2s = 18
-(c + s = 13)
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s = 5
since c + s = 13
c + 5 = 13
c = 8
He saw 5 sheep and 8 chickens.
Does ths make sense?