document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #138969 by feliz1965(151)![]() ![]() ![]() You can put this solution on YOUR website! Let r = rockfish \n" ); document.write( "Let b = bluefish \n" ); document.write( "There are 24 fish in all. \n" ); document.write( "Then: \n" ); document.write( "r + b = 24 \n" ); document.write( "2.5r + 8b = 137 \n" ); document.write( "Here we have a system of two equations in two unknowns. \n" ); document.write( "Can you take it from here? \n" ); document.write( "If not, write back. \r \n" ); document.write( "\n" ); document.write( "Solving for r we get: 24 - b\r \n" ); document.write( "\n" ); document.write( "Then, 2.5(24 - b) + 8b = 137\r \n" ); document.write( "\n" ); document.write( "60 -2.5b + 8b = 137\r \n" ); document.write( "\n" ); document.write( "-2.5b + 8b = 137 - 60\r \n" ); document.write( "\n" ); document.write( "5.5b = 77\r \n" ); document.write( "\n" ); document.write( "b = 77/5.5\r \n" ); document.write( "\n" ); document.write( "b = 14\r \n" ); document.write( "\n" ); document.write( "There are 14 bluefish.\r \n" ); document.write( "\n" ); document.write( "So, if there are 24 fish in all, how many rockfish?\r \n" ); document.write( "\n" ); document.write( "The obvious answer is 10 rockfish.\r \n" ); document.write( "\n" ); document.write( "Understand? \n" ); document.write( " \n" ); document.write( " |