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The same number of hens as sheep ran around the yard. They had a total of 168 feet. How many were sheep, and how many hens were there?

Correct answer:

o =  28
s =  28

Step-by-step explanation:


s=o
2s+4o=168

s=o
2·s+4·o=168

o-s = 0
4o+2s = 168

Pivot: Row 1 ↔ Row 2
4o+2s = 168
o-s = 0

Row 2 - 1/4 · Row 1 → Row 2
4o+2s = 168
-1.5s = -42


s = -42/-1.5 = 28
o = 168-2s/4 = 168-2 · 28/4 = 28

o = 28
s = 28

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