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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: On a fishing trip, Mariko caught twenty-four fish. Sh caught some rockfish averaging 2.5 lb. and some bluefish averging 8 lb. The total weight of the fish was 137 lb. How many of e      Log On


   

Question 37663This question is from textbook
: On a fishing trip, Mariko caught twenty-four fish. Sh caught some rockfish averaging 2.5 lb. and some bluefish averging 8 lb. The total weight of the fish was 137 lb. How many of each kind of fish did she catch? This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
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On a fishing trip, Mariko caught twenty-four fish. Sh caught some rockfish averaging 2.5 lb. and some bluefish averging 8 lb. The total weight of the fish was 137 lb. How many of each kind of fish did she catch?
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Define variables:
b=number of bluefish
r=number of rockfish
Equations:
b%2Br=24
2.5r%2B8b=137
Combine:
-8b-8r=-192
+
2.5r%2B8b=137
=
-5.5r=-55 so r=10
Plug in:
b%2Br=24
b%2B10=24
b=14