Question

in an aquarium 2/5 of the fish are surgeonfish. of these three fourths are yellow tangs what fraction of all fish in the aquarium or yellow tangs

Answer 1

Let the total number of fish in the aquarium be x .

And out of them, 2/5 are surgeonfish , that is

`(2x)/(5)`

And out of 2/5 surgeonfish , 3/4 are yellowtangs, that is

`(3)/(4)* (2x)/(5) = (6x)/(20) = (3x)/(10)`

Required fraction is

`(3x/10)/(x) = (3)/(10)`