Nicholas has a larger tropical fish collection. He gives 2/3 of his fish to a high school. Then he gives 2/5 of the remaining fish to another school. In the end he has 30 fish left. How many fish Nicolas have at first?

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Mathematics

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2 January, 04:34

Nicholas has a larger tropical fish collection. He gives 2/3 of his fish to a high school. Then he gives 2/5 of the remaining fish to another school. In the end he has 30 fish left. How many fish Nicolas have at first?

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Kamila Burke · Answer 1

Let the initial count of his fish be n.

He gives away 2/3 of these fish: 2n/3, leaving n/3 fish.

He gives away 2/5 of these remaining n/3 fish: (2/5) times (n/3), or

2n

- - -, meaning that (3/5) times (n/3) fish are left.

15

(3/5) (n/3) = n/5 fish left = 30 fish. Thus, n = 150 fish.

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