If an islands only residents are penguins and bears and if t

If an island’s only residents are penguins and bears, and if there are 24 heads and 56 feet on the island, how many penguins and how many bears are on the island?

Due by June 4 at 11:59 pm

Solution

let the number of Penguins be P and No of bears be B. consider the following two equations
P+B=24      ( no of heads of Penguin +no of heads of Bears)
2P+4B=56 ( 2 legs for penguin and 4 legs for bears ):
multiply the first equation by 2
2P+2B=48 .....1
2P+4B=56 .....2, Subtracting 1 from 2 will give us 2B=8 implies B=4, and using this P=20.

Hence there are 20 penguins and 4 bears are there in the Island