THE FARM

Hens, goats, and three cows grow on the farm. All animals have a total of 19 heads and 56 legs. How many goats live on the farm, and how many hens live on the farm?

Correct answer:

k =  6
s =  10

Step-by-step explanation:


k+s+3=19
2s+4k+3·4=56

k+s+3=19
2·s+4·k+3·4=56

k+s = 16
4k+2s = 44

Pivot: Row 1 ↔ Row 2
4k+2s = 44
k+s = 16

Row 2 - 1/4 · Row 1 → Row 2
4k+2s = 44
0.5s = 5


s = 5/0.5 = 10
k = 44-2s/4 = 44-2 · 10/4 = 6

k = 6
s = 10

Our linear equations calculator calculates it.



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