A local fish market is selling fish and lobsters by the pound. The fish, f, costs $4.25 a pound, while the lobster, l, costs $9.00 a pound. The fish market sells 25.5 pounds and makes $196.25. How many pounds of fish and pounds of lobster did the market sell?

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Step-by-step explanation:

Let x represent the number of pounds of lobster sold. Then 25.5-x is the number of pounds of fish. The total money made is ...

  4.25(25.5-x) +9.00x = 196.25

  4.75x + 108.375 = 196.25 . . . . . simplify

  4.75x = 87.875 . . . . . . . . . . . subtract 108.375

  x = 18.5 . . . . . . . . . . . . . . . divide by 4.75

The market sold 7 pounds of fish and 18.5 pounds of lobster.

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