SOLUTION: On a fishing trip, Mariko caught twenty-four fish. She caught some rockfish averaging 2.5 lb. and somebluefish averaging 8 lb. The total weight of the fish was 137lb. How many of e

Algebra ->  -> SOLUTION: On a fishing trip, Mariko caught twenty-four fish. She caught some rockfish averaging 2.5 lb. and somebluefish averaging 8 lb. The total weight of the fish was 137lb. How many of e      Log On

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 Question 185283: On a fishing trip, Mariko caught twenty-four fish. She caught some rockfish averaging 2.5 lb. and somebluefish averaging 8 lb. The total weight of the fish was 137lb. How many of each kind of fish did she catch?Answer by feliz1965(151)   (Show Source): You can put this solution on YOUR website!Let r = rockfish Let b = bluefish There are 24 fish in all. Then: r + b = 24 2.5r + 8b = 137 Here we have a system of two equations in two unknowns. Can you take it from here? If not, write back. Solving for r we get: 24 - b Then, 2.5(24 - b) + 8b = 137 60 -2.5b + 8b = 137 -2.5b + 8b = 137 - 60 5.5b = 77 b = 77/5.5 b = 14 There are 14 bluefish. So, if there are 24 fish in all, how many rockfish? The obvious answer is 10 rockfish. Understand?