Birds

On the farm, they have a total of 110 birds. Geese and turkeys together are 47. Hens are three times more than the turkey. How much is poultry by species?

Correct answer:

h =  26
k =  21
s =  63

Step-by-step explanation:


h+k+s = 110
h+k = 47
s = 3 k

h+k+s = 110
h+k = 47
s = 3·k

h+k+s = 110
h+k = 47
3k-s = 0

Row 2 - Row 1 → Row 2
h+k+s = 110
-s = -63
3k-s = 0

Pivot: Row 2 ↔ Row 3
h+k+s = 110
3k-s = 0
-s = -63


s = -63/-1 = 63
k = 0+s/3 = 0+63/3 = 21
h = 110-k-s = 110-21-63 = 26

h = 26
k = 21
s = 63

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