Question

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

Answer 1

Answer:

4x/7x-2=3/5

x=15

so now no of elephants be 100

Answer 2

Answer:

Lions : 100

Elephants : 60

Step-by-step explanation:

Number of lions = 4x

Number of elephants = 7x

Ratio = 4:7

After 5 elephants were shifted;

Number of elephants = 7x-5

Thus,

$\frac{4x}{7x-5} = \frac{3}{5}$

3 (7x-5) = 5 (4x)

21x-15 = 20x

21x-20x = 15

x = 15

Therefore,

Number of elephants before = 7x = 7 (15) = 105

Number of elephants after = 7x-5 = 7 (15) - 5 = 105 - 5 = 100

Number of lions after = 4x = 4 (15) = 60

HOPE IT HELPS ;)