document.write( "Question 1160413: A sorority buys a case of sweatshirts for $480 to sell at a mixer. The sorority needs to sell all but 16 of the sweatshirts at a profit of $5 per sweatshirt to regain the $480 investment. How many sweatshirts must be sold, and at what price, to do this?
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Algebra.Com's Answer #783708 by ikleyn(52855) $\"\"$ $\"About$

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document.write( "Let \"n\" be the number of sweatshirts .\r\n" );
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document.write( "From the condition, you have this equation to find n\r\n" );
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document.write( "     -  = 5  dollars.    (1)\r\n" );
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document.write( "Cancel the factor 5 in both sides\r\n" );
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document.write( "     -  = 1.\r\n" );
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document.write( "To solve the equation, multiply both sides by n*(n-16). You will get then\r\n" );
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document.write( "    96n - 96*(n-16) = n*(n-16)\r\n" );
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document.write( "Simplify and reduce to the standard form quadratic equation\r\n" );
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document.write( "    96n - 96n + 96*16 = n^2 - 16n\r\n" );
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document.write( "    n^2 - 16n - 1536 = 0\r\n" );
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document.write( "    n =  =  = .\r\n" );
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document.write( "The only positive root is  n =   =  = 48.\r\n" );
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document.write( "ANSWER.  n = 48 shirts.\r\n" );
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document.write( "CHECK.  I will check equation (1):   -  =  -  = 15 - 10 = 5.\r\n" );
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document.write( "        ! Correct !\r\n" );
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