### Brain Teasers

# 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?

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?

### Answer

Salmon = $5 per poundBass = $7 per pound

Swordfish = $3 per pound

Catfish = $2 per pound

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