Heads and legs puzzle (systems with animals): Determine the count of peacocks. In a zoo there are deer and peacocks. Total heads = 80 (deer + peacocks). Total legs = 200 (deer have 4 legs; peacocks have 2 legs). Find the number of peacocks. Choose the correct value.

Q: Heads and legs puzzle (systems with animals): Determine the count of peacocks. In a zoo there are deer and peacocks. Total heads = 80 (deer + peacocks). Total legs = 200 (deer have 4 legs; peacocks have 2 legs). Find the number of peacocks. Choose…

Let d = deer, p = peacocks. Equations d + p = 80. 4d + 2p = 200 ⇒ divide by 2: 2d + p = 100. Solve (2d + p) − (d + p) = 100 − 80 ⇒ d = 20. Then p = 80 − 20 = 60.

Difficulty: Easy

Correct Answer: 60

Explanation:

Let
d = deer, p = peacocks.

Equations
d + p = 80. 4d + 2p = 200 ⇒ divide by 2: 2d + p = 100.

Solve
(2d + p) − (d + p) = 100 − 80 ⇒ d = 20. Then p = 80 − 20 = 60.

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