Respuesta :
Answer:
50 catfish were put in the pond.
Step-by-step explanation:
Given:
Total Number of fishes in the pond = 75
Let number of catfish be 'c'.
Also Let number of blue gill be 'b'
So We can say that;
Total Number of fishes in the pond is equal to sum of number of catfish and number of blue gill.
framing in equation form we get;
[tex]c+b =75 \ \ \ \ equation \ 1[/tex]
Also Given:
If the number of blue gill was doubled and the number of catfish tripled,there would be 175 fish in the pond.
It means that;
2 multiplied by number of catfish plus 3 multiplied by number of blue gill is equal to 175.
framing in equation form we get;
[tex]2c+3b =175 \ \ \ \ equation \ 2[/tex]
Now Multiplying equation 1 by 2 we get;
[tex]2(c+b) =75\times2\\\\2c+2b =150 \ \ \ \ equation\ 3[/tex]
Now Subtracting equation 3 from equation 2 we get;
[tex](2c+3b)-(2c+2b)=175-150\\\\2c+3b-2c-2b=25\\\\b=25[/tex]
Now Substituting the Value of b in equation 1 we get;
[tex]c+b=75\\\\c+25=75\\\\c=75-25 =50[/tex]
Hence 50 catfish were put in the pond.
