Problem

In a certain country people own a total of about 349 million fish, cats, and dogs as pets. The number of fish owned is 19 million more than the total number of cats and dogs owned, and 15 million more cats are owned than dogs. How many of each type of pet do people in this country own?
The number of fish owned by people in this country is $\square$ million, the number of cats owned by people is $\square$ million, the number of dogs owned by people is $\square$ million.
(Type whole numbers.)

Answer

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Answer

Final Answer: The number of fish owned by people in this country is \(\boxed{184}\) million, the number of cats owned by people is \(\boxed{90}\) million, the number of dogs owned by people is \(\boxed{75}\) million.

Steps

Step 1 :Let's denote the number of fish as F, the number of cats as C, and the number of dogs as D. We know that:

Step 2 :\(F + C + D = 349\) (the total number of pets)

Step 3 :\(F = C + D + 19\) (the number of fish is 19 million more than the total number of cats and dogs)

Step 4 :\(C = D + 15\) (15 million more cats are owned than dogs)

Step 5 :We can substitute the second equation into the first one to get an equation with only cats and dogs: \(2C + 2D + 19 = 349\)

Step 6 :Then, we can substitute the third equation into this new equation to get an equation with only dogs: \(4D + 49 = 349\)

Step 7 :Solving this equation will give us the number of dogs: \(D = 75\)

Step 8 :We can substitute the number of dogs into the third equation to get the number of cats: \(C = 90\)

Step 9 :Finally, we can substitute the number of cats and dogs into the first equation to get the number of fish: \(F = 184\)

Step 10 :Final Answer: The number of fish owned by people in this country is \(\boxed{184}\) million, the number of cats owned by people is \(\boxed{90}\) million, the number of dogs owned by people is \(\boxed{75}\) million.

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