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.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 40.
The ratio of rabbits and pigeons = 4:9
Let the number of rabbits be 4x, and pigeons be 9x.
The total number of legs = 340
A rabbit has four legs and a pigeon has two legs.
So, (4 × 4x) + (2 × 9x) = 340
⇒ 16x + 18x = 340
⇒ 34x = 340
⇒ x = 340/34 = 10
⇒ 4x = 4 × 10 = 40
Therefore, the number of rabbits is 40.