Respuesta :
Answer:
There are 94 million pet cats, 75 million pet dogs and 182 pet fish in the country.
Step-by-step explanation:
Let C, D and F represent number of cats, dogs and fish respectively in millions.
We have been given that in a certain country people own a total of about 351 million fish, cats, and dogs as pets. We can represent this information as:
[tex]C+D+F=351...(1)[/tex]
The number of fish owned is 13 million more than the total number of cats and dogs owned. We can represent this information as:
[tex]F=C+D+13...(2)[/tex]
There are 19 million more cats are owned than dogs. We can represent this information as:
[tex]C=D+19...(3)[/tex]
Upon substituting equation (2) and equation (3) in equation (1), we will get:
[tex]D+19+D+13+D+19+D=351[/tex]
[tex]4D+51=351[/tex]
[tex]4D+51-51=351-51[/tex]
[tex]4D=300[/tex]
[tex]D=\frac{300}{4}[/tex]
[tex]D=75[/tex]
Therefore, there are 75 million pet dogs in the country.
Upon substituting [tex]D=75[/tex] in equation (3), we will get:
[tex]C=75+19[/tex]
[tex]C=94[/tex]
Therefore, there are 94 million pet cats in the country.
Upon substituting [tex]D=75[/tex] and [tex]C=94[/tex] in equation (2), we will get:
[tex]F=94+75+13\\F=182[/tex]
Therefore, there are 182 million pet fish in the country.
Number of fish, cats and dogs are 182 million, 94 million, 75 million.
Given that;
Total number of pets = 351 million
Number of cats = Number of dogs + 19 million
Number of fish = Number of cats + Number of dogs + 13 million
Find:
Number of each pet
Computation:
Assume;
Number of dogs = a
Number of cats = a + 19
Number of fish = a + 19 + a + 13 = 2a + 32
So,
a + a + 19 + 2a + 32 = 351
4a + 51 = 351
4a = 300
a = 75
Number of dogs = 75 million
Number of cats = a + 19
Number of cats = 75 + 19
Number of cats = 94 million
Number of fish = 2a + 32
Number of fish = 2(75) + 32
Number of fish = 182 million
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