In a forest there are some tigers and peacocks. The total number of heads is 90 and the total number of legs is 240. Find the number of tigers and peacocks, given as (tigers, peacocks).

A(35, 55)

B(45, 45)

C(40, 50)

D(30, 60) ✓ Correct

Correct answer: (D) (30, 60)

Explanation

There are 30 tigers and 60 peacocks.

Let tigers = t (4 legs) and peacocks = p (2 legs).

Heads: t + p = 90; legs: 4t + 2p = 240.

Halve the legs equation: 2t + p = 120.

Subtract the head equation: t = 30, so p = 60.

Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.