Question

In a national park, the ratio of lions to elephant was 4: 7. When 5 elephants were shifted to the other national park, the ratio of lions to the elephants became 3: 5. How many lions and elephants does the national park have now?​

Answer 1

The ratio of the lions to the elephants = 4 : 7

Let the no.of lions be 4x

and no.of elephants be 7x

Five elephants is shifted to another national park

Therefore, Now no.of elephants = 7x - 5

Therefore, 4x/7x - 5 = 3/5

5×4x = 3(7x -5)

20x = 21x - 15

20x - 21x = -15

-x = -15

x = 15

Therefore, no.of lions = 4x

= 4 × 15

= 60

Therefore, no.of elephants = 7x - 5

= 7(15) - 5

= 105 - 5

= 100