SOLUTION: In a pen at Old MacDonald's farm there are some sheep and some geese. There is a total of 115 animals and there are 424 legs. How many sheep and how many geese are there?

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Question 266452: In a pen at Old MacDonald's farm there are some sheep and some geese. There is a total of 115 animals and there are 424 legs. How many sheep and how many geese are there?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = number of sheep
Let g = number of geese
given:
(1) s+%2B+g+=+115
(2) 4s+%2B+2g+=+424
Multiply both sides of (1) by 2
and subtract from (2)
(2) 4s+%2B+2g+=+424
(1) -2s+-+2g+=+-230
2s+=+194
s+=+97
And, from (1),
97+%2B+g+=+115
g+=+115+-+97
g+=+18
There are 97 sheep and 18 geese
check answer:
(2) 4s+%2B+2g+=+424
2s+%2B+g+=+212
2%2A97+%2B+18+=+212
194+%2B+18+=+212
212+=+212

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a pen at Old MacDonald's farm there are some sheep and some geese. There is a total of 115 animals and there are 424 legs. How many sheep and how many geese are there?
---------------------------------
Quantity: s + g = 115
Legs:::: 4s +2g = 424
---------------------------
Multiply thru Quantity by 2 to get:
2s + 2g = 230
4s + 2g = 424
--------------------
Subtract 1st from 2nd to get:
2s = 194
s = 97 (# of sheep)
-----
Since s+g = 115, g = 115-97 = 18 (# of geese)
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Cheers,
Stan H.