They put in a total of 75 fish If the number blue gill was doubled and catfish tripled there would be 175 pond How many were pond?

This problem is a bit tricky because it gives us information about what would happen if we changed the number of fish, but we need to figure out the original number of each type. Here's how we can solve it:

Let:

* 'b' represent the original number of bluegill

* 'c' represent the original number of catfish

We know:

* b + c = 75 (The total number of fish)

We also know that if we double the bluegill and triple the catfish, the total would be 175:

* 2b + 3c = 175

Now we have two equations and two unknowns, so we can solve for 'b' and 'c':

1. Solve for 'b' in the first equation:

b = 75 - c

2. Substitute this value of 'b' into the second equation:

2(75 - c) + 3c = 175

3. Simplify and solve for 'c':

150 - 2c + 3c = 175

c = 25

4. Substitute the value of 'c' back into the equation b = 75 - c:

b = 75 - 25

b = 50

Therefore:

* There were originally 50 bluegill in the pond.

* There were originally 25 catfish in the pond.