Question

in a national park, the ratio lions to elephant was 4:7 .when 5 elephants were shifted to the other national park, the ratio of lions to the elephants become 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
Hope it helps.