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.How many fish are in the Deep Blue tank?
Question
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.How many fish are in the Deep Blue tank?
Solution
To solve this problem, we first need to understand the ratio of crustaceans to fish in the Tide Pool tank.
There are 10 crustaceans and 25 fish in the Tide Pool tank. So, the ratio of crustaceans to fish is 10:25.
We can simplify this ratio by dividing both numbers by their greatest common divisor, which is 5. So, the simplified ratio is 2:5.
This means that for every 2 crustaceans, there are 5 fish.
The Deep Blue tank has the same ratio of crustaceans to fish. We know there are 50 crustaceans in the Deep Blue tank.
To find out how many fish are in the Deep Blue tank, we set up a proportion using the ratio 2:5 = 50:x, where x is the number of fish in the Deep Blue tank.
Cross-multiplying gives us 2x = 250.
Finally, solving for x by dividing both sides of the equation by 2 gives us x = 125.
So, there are 125 fish in the Deep Blue tank.
Similar Questions
1) There are 200 fish in an aquarium. Of which 1% are blue, the rest are yellow. Howmany yellow fish have to be removed to make the number of blue fish equal 2% of theentire amount of fish?A) 2 B) 4 C) 20 D) 50 E) 100
The dolphins at the Hamilton Aquarium are fed 1/6 of a bucket of fish each day. The sea otters are fed 3/10 as much fish as the dolphins. How many buckets of fish are the sea otters fed each day?Write your answer as a fraction or as a whole or mixed number.
There were 200 Fishes in an aquarium, 99% of which were red. How many red fishes must be removed to make the percentage of red fishes 98%
The density of a fish tank is 0.4. There are 12 fish in the tank. What is the volume of the tank?Group of answer choices3 ft330 ft348 ft396 ft3
A rectangular fish tank 35 cm long, 30 cm wide and 25 cm high is filled with water to a depth of 20 cm.Find the volume of water in the fish tank.Give your answer in litres.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.