27.2k views
5 votes
In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank.

1 Answer

7 votes

Final answer:

The question asks to calculate the number of fish in the Deep Blue tank given a ratio of crustaceans to fish from another tank. Using the ratio 2:5 for crustaceans to fish and knowing there are 50 crustaceans in the Deep Blue tank, we find that there are 125 fish in that tank.

Step-by-step explanation:

The question involves finding how many fish are in the Deep Blue tank at the Atlantic Aquarium, given the same ratio of crustaceans to fish as in the Tide Pool tank.

In the Tide Pool tank, there are 10 crustaceans and 25 fish, making the ratio of crustaceans to fish 10:25, which simplifies to 2:5. Knowing that there are 50 crustaceans in the Deep Blue tank, we need to use the same 2:5 ratio to find out the number of fish.

To maintain the ratio, for every 2 crustaceans, there are 5 fish.

Since the Deep Blue tank has 50 crustaceans, we divide that number by 2 to find how many times the ratio will fit.

There are 50 ÷ 2 = 25 times the ratio fits into the number of crustaceans.

Now, multiply the number of times the ratio fits (25) by 5 (the number of fish in the ratio), which equals 125 fish.

So, there are 125 fish in the Deep Blue tank.

User Frank Rosario
by
7.7k points