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## Something's Fishy

Math brain teasers require computations to solve.

 Puzzle ID: #28960 Fun: (2.72) Difficulty: (1.54) Category: Math Submitted By: shenqiang

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?

### Hint

1. Assign letter names to the different kinds of fish and write equations to decide each combination. For example: salmon = a, bass = b, a + b = \$12.
2. If the salmon and the bass together cost \$12, and the bass and the swordfish together cost \$10, what is the price difference between the salmon and the swordfish?

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