Dog goose puzzle

Dogs and geese ran around the backyard. Together, they had 12 heads and 30 legs. How many geese ran around the backyard, and how many dogs?

Final Answer:

h =  9
p =  3

Step-by-step explanation:


h+p=12
2h+4p=30

h+p=12
2·h+4·p=30

h+p = 12
2h+4p = 30

Pivot: Row 1 ↔ Row 2
2h+4p = 30
h+p = 12

Row 2 - 1/2 · Row 1 → Row 2
2h+4p = 30
-p = -3


p = -3/-1 = 3
h = 30-4p/2 = 30-4 · 3/2 = 9

h = 9
p = 3

Our linear equations calculator calculates it.

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