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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