Question

The local fish market is having a sale on whole fish. the prices are as follows:

You can buy an albacore and a barracuda for$21
You can buy a barracuda and a carp for $32
You can buy a carp and a dogfish for $32
You can buy a dogfish and an eel for $37
You can buy an eel and flounder for $31
You can buy a flounder and a gar for $25
You can buy gar and an albacore for $26

Determine the cost of each individual fish

Answer 1

I gave a method a few minutes ago.

Answer 2

Price list:
Albacore $12
Barracuda $9
Carp $15
Dogfish $17
Eel $20
Flounder $11
Gar $14

Proof: Call the fish A-G and make all the prices into simple addition equations.

Add all the numbers and equations together. You get:

2(A+B+C+D+E+F+G) = 196.

And thus,

(A+B+C+D+E+F+G) = 98

After that, add together the first, third, fifth, and seventh equations.

(A+B+C+D+E+F+G+A) = 110

And then subtract the last two equations I've written from each other, leaving...

A = 12.

After that, it's a matter of simple addition i know this is late

Answer 3

Thank you Unknown Guy, helped a lot!