SOLUTION: Please help me to answer this. I am as lost as I can be. I truly need you. If an island�s only residents are penguins and bears, and if there are 15 heads and 36 feet on the i

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Question 612572: Please help me to answer this. I am as lost as I can be. I truly need you.
If an island�s only residents are penguins and
bears, and if there are 15 heads and 36 feet on the
island, how many penguins and how many bears
are on the island?

Found 2 solutions by scott8148, stanbon:
Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
bears have 4 feet and penguins have 2 ___ they both have one head

b + p = 15

4b + 2p = 36 ___ 2b + p = 18

subtracting the 1st equation from the 2nd equation ___ b = 3

substitute back to find p

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
If an island�s only residents are penguins and
bears, and if there are 15 heads and 36 feet on the
island, how many penguins and how many bears
are on the island?
-------------------------
Heads: p + b = 36
Feet: 2p +4b = 36
-------------------
Multiply thru the Heads equation by 2:
2p + 2b = 72
2p + 4b = 36
-----
Subtract and solve for "b":
2b = 36
b = 18 (# of bears)
-----
solve for "P":
p + b = 36
p + 18 = 36
p = 18 (# of penquins)
==========================
Cheers,
Stan H.