document.write( "Question 1114549: A computer store manager buys several computers of the same model for $10,800. The store can regain this investment by selling all but 5 of the computers at a profit of $360 per computer. To do this, how many computers must be sold, and at what price?\r
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document.write( "______computers at $_____ per computer \n" );
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Algebra.Com's Answer #729484 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A computer store manager buys several computers of the same model for $10,800. The store can regain this investment by selling all but 5 of the computers at a profit of $360 per computer. To do this, how many computers must be sold, and at what price? \n" ); document.write( "# of computers bought:: \"x\" \n" ); document.write( "cost of each computer:: 10800/x \n" ); document.write( "------ \n" ); document.write( "Equation: (x-5)[(10800/x)+360] = 10,800 \n" ); document.write( "------ \n" ); document.write( "[10800+ 360x-5(10800/x)-1800] = 10,800 \n" ); document.write( "------ \n" ); document.write( "360x - 54000/x -1800 = 0 \n" ); document.write( "-54000 - 1800x + 360x^2 = 0 \n" ); document.write( "x^2 - 5x - 150 = 0 \n" ); document.write( "(x-15)(x+10) = 0 \n" ); document.write( "--- \n" ); document.write( "Positive solution: \n" ); document.write( "x = 15 \n" ); document.write( "----- \n" ); document.write( "Ans:: x-5 = 15-5 = 10 must be sold \n" ); document.write( "---- \n" ); document.write( "Selling price when x = 15 \n" ); document.write( "[(10800/x)+360] = 720+360 = $1080 \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "______computers at $_____ per computer \n" ); document.write( " |