Question

If an island's only residents are penguins and bears, and if there are 24 heads and 64 feet on the island, how many penguins and how many bears are

on the island

Answer 1

Penguins (P): 1 H + 2 Ft

Bears (B): 1 H + 4Ft

Heads Equation: 1P + 1B = 14 → -2(1P + 1B = 14) → -2P - 2B = -28

Feet Equation: 2P + 4B = 30 → 1(2P + 4B = 30) → 2P + 4B = 30

2B = 2

B = 1

Heads Equation: 1P + 1B = 14 → 1P + 1(1) = 14 → P = 13

Answer: 13 Penguins and 1 Bear