I was recently studying for a test and got this problem correct. However, I don't think I would be able to answer a similar type of question correct again.
The question is the following:
A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish to blue fish is 3 to 4. The ratio of fish in the large tank to fish in the small tank is 46 to 5. What is the ratio of blue fish in the small tank to red fish in the large tank?
Thank you for taking the time!
Best Answer
Small Tank : Red fish = 3x, Blue fish =4x
Big Tank: Red fish = 3y, Blue fish =4y
$ y=46\lambda $, $x=5\lambda $
Thus
Blue fish in the small tank= $$4x=20\lambda $$
Red fish in the large tank =
$$ 3y=138\lambda $$ Thus the ration of blue fish in the small tank to red fish in the large tank is $$\frac {20\lambda}{138\lambda}= 20/138.$$