Answer:
Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Step-by-step explanation:
Let the number of red fish and blue fish in the large tank are x and y respectively.
Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.
Since in each tank ratio of the red fish to blue fish is 333 : 444
That means x : y = 333 : 444
Or 
⇒ 
⇒ y =
--------(1)
Similarly x' : y' = 333 : 444
⇒ 
⇒ 
⇒ x' =
------(2)
Ratio of the fish in large tank to the fish in small tank is 464646 : 555
So (x + y) : (x' + y') = 464646 : 555

Now we replace the values of x and y' from equation (1) and equation (2)







Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Okay, so I would multiply 62*7.5 to get 465.
To check the solution, make sure it follows the rules as in the word problem.
If you divide 465 by 7.5 you do get 62, so the solution is 465.
Mathematically, the equation would be
x
- = 62
7.5
I would multiply x/7.5 by 7.5/1 (to cancel it out) and 62/1 by 7.5 which is basically the same solution as above.
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