Backyard 13871

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?

Correct 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

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