Question

Ralphie has a large tropical fish collection. He gives 2/3 of his fish to a local high school. Then he gives 2/5 of the remaining fish to an elementary school. In the end he has 30 fish left. How many did he have at first?

Answer 1

Let initially number of fishes =x

He gives 2/3 of his fish to a local high school, that is he gives 2x/3 fish .

So number of fishes left = x -(2x/3) = x/3 . And he gives 2/5 of x/3 to an elementary school , that is , he gives 2x/15 fishes to the elementary school. And finally the number of fishes left =30 , that is

`x-((2x)/(3)+(2x)/(15))=30`

`x-(12x)/(15)=30`

`(3x)/(15)=30`

`x = 150`

So initially he have 150 fishes .