document.write( "Question 37663This question is from textbook
\n" ); document.write( ": 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? \n" ); document.write( "
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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?
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "Define variables:
\n" ); document.write( "b=number of bluefish
\n" ); document.write( "r=number of rockfish
\n" ); document.write( "Equations:
\n" ); document.write( "\"b%2Br=24\"
\n" ); document.write( "\"2.5r%2B8b=137\"
\n" ); document.write( "Combine:
\n" ); document.write( "\"-8b-8r=-192\"
\n" ); document.write( "+
\n" ); document.write( "\"2.5r%2B8b=137\"
\n" ); document.write( "=
\n" ); document.write( "\"-5.5r=-55\" so \"r=10\"
\n" ); document.write( "Plug in:
\n" ); document.write( "\"b%2Br=24\"
\n" ); document.write( "\"b%2B10=24\"
\n" ); document.write( "\"b=14\"
\n" ); document.write( "
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