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?
|
|
|
