document.write( "Question 849395: A group of fisherman charted a boat for 300 dollar. Two members of the group were unable to go o the trip and as a consequence, each of the others had pay 12.50 dollars more.How many shares did he sell?
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Algebra.Com's Answer #511518 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A group of fisherman charted a boat for 300 dollar. Two members of the group were unable to go o the trip and as a consequence, each of the others had pay 12.50 dollars more.How many shares did he sell? \n" ); document.write( "------------ \n" ); document.write( "Let original # of sharer's be \"x\": \n" ); document.write( "----- \n" ); document.write( "Original share price = 300/x dollars \n" ); document.write( "------ \n" ); document.write( "New share price = 300/(x-2) dollars \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "300/x - 300/(x-2) = 12.50 \n" ); document.write( "------- \n" ); document.write( "300(x-2) - 300x = 12.5x(x-2) \n" ); document.write( "------- \n" ); document.write( "12.5x^2 - 25x + 600 = 0 \n" ); document.write( "------- \n" ); document.write( "x^2 - 2x + 48 = 0 \n" ); document.write( "(x-8)(x+6) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 8 (original # of shares) \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------- \n" ); document.write( " |