Question 840397

-
Added "EACH" because this is what you meant; that rockfish are 2.5 pounds per fish and blues are 8 pounds per fish.


r for rock fish count
b for blue fish count


{{{highlight_green(r+b=24)}}} accounts for fish count.
{{{highlight_green(2.5r+8b=137)}}} accounts for pounds of fish.
That is the system to solve for r and b.


Putting into whole coefficients, the pound account is {{{highlight_green(5r+16b=274)}}}.


SYSTEM easier to use as
--------------------
r+b=24
--------------------
5r+16b=274
--------------------


Elimination Method without explanation:
{{{5r+15b-(5r+5b)=274-5*24}}}
{{{10b=274-120}}}
{{{10b=154}}}
{{{b=15.4}}} But we cannot really allow for nonwhole numbers of fish unless some practical reason would make this possible.  {{{highlight(b=15)}}};
recall in the description, "about 8 pounds", and "about 2.5 pounds".

-
Expect that {{{highlight(r=9)}}} of the rock fish.