Question

In a park there are rabbits and pigeons in the ratio 4: 9. If legs are counted, the total number of legs is 340. Find the number of rabbits.

• A. 40
• B. 70
• C. 30
• D. 20

Answer 1

Answer:

A. 40

Let the number of rabbits and pigeons be in the ratio (4:9).

So,

• Rabbits = (4x)

• Pigeons = (9x)

  Count legs

• Each rabbit has 4 legs → (4 \times 4x = 16x)

• Each pigeon has 2 legs → (2 \times 9x = 18x)

Total legs:
$16x + 18x = 34x$
Given total legs = 340

$34x = 340 \Rightarrow x = 10$

Number of rabbits

$4x = 4 \times 10 = 40$

Final Answer: 40 rabbits