Question

In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes in the group?

• A. 6
• B. 8
• C. 10
• D. 12
• E. 4

Hint:

Use head–leg equations for animal counting problems.

Answer 1

The Correct Option is D

Let buffaloes = \(x\) Let ducks = \(y\) Heads: \[ x + y \] Legs: \[ 4x + 2y \] Given: \[ 4x + 2y = 2(x+y) + 24 \] \[ 2x = 24 \] \[ x = 12 \] \[ \therefore \text{Buffaloes = 12} \]