In a park there are rabbits and pigeons in the ratio 4 : 9.
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.
एक पार्क में खरगोश और कबूतर 4 : 9 के अनुपात में हैं यदि पैरों की गिनती की जाए, तो पैरो की कुल संख्या 340 हैं। खरगोशों की संख्या ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
40
Ratio of rabbits : pigeons = 4 : 9
Let rabbits = $ 4x $ ,pigeons = $ 9x $
Rabbits have 4 legs, pigeons have 2 legs.
Total legs:
$4(4x) + 2(9x) = 340$
$16x + 18x = 340$
$34x = 340$
$x = 10$
Number of rabbits:
$4x = 4 \times 10 = 40$
Answer = 40
Similar Practice Questions
The ratio of the present age of A and B is 3 : 1.
The ratio of the present age of A and B is 3 : 1. Five...
Find the third proportional of $ (3 +\sqrt{2})$ and $ 2\sqrt{7} $
Find the third proportional of $ (3 +\sqrt{2})$ and $ 2\sqrt{7} $ $ (3 +\sqrt{2})$...
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2...
A recipe needs 3 cups of flour to make 12 muffins. How many cups of flour are needed to make 20 muffins in the same proportion?
A recipe needs 3 cups of flour to make 12 muffins. How many cups of...
The salaries of A and B are respectively 40% and 70% more than the salary of C. What is the ratio of B’s salary to A’s salary?
The salaries of A and B are respectively 40% and 70% more than the salary...
The ratio of the present ages of Ram and Shyam is 3 : 4, and 4 years ago the ratio was 2 : 3.
The ratio of the present ages of Ram and Shyam is 3 : 4, and...
The monthly incomes of two friends Ashish and Kiran,
The monthly incomes of two friends Ashish and Kiran, are in the ratio 5 :...