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 ?
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Answer:
here is your answer
Step-by-step explanation:
given, the ratios
4:7 at first,
then after 5 elephants were shifted
3:5
let the number of lions be 4x
and the number of elephants be 7x
now 5 elephants are shifted,
then now the number of elephants. = 7x-5
then,
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
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