Something’s Fishy

The fish market is selling several kinds of fish. But there aren’t any prices listed. You ask about the prices, but all the seller will tell you is this:

  1. A pound of salmon and a pound of bass are $12.
  2. A pound of bass and a pound of swordfish are $10.
  3. A pound of salmon and a pound of swordfish are $8.
  4. A pound of swordfish and a pound of catfish are $5.
    Each price per pound is a whole-dollar amount. How much is the price per pound for each kind of fish?

Answer
Salmon = $5 per pound
Bass = $7 per pound
Swordfish = $3 per pound
Catfish = $2 per pound

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