document.write( "Question 1151626: Hi
\n" ); document.write( "A man bought a number of books for $300.if each book cost 5 dollars more he could buy 10 books less for the same amount.\r
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Algebra.Com's Answer #773430 by ikleyn(52848) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let \"p\" be the price of one book.\r\n" );
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document.write( "Then the \"conditional\" price (\"if-price\") in other scenario would be (p+5) dollars.\r\n" );
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document.write( "The \"if\" equation then is\r\n" );
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document.write( "     -  = 10  books.\r\n" );
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document.write( "Multiply both sides by p*(p+5); then simplify\r\n" );
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document.write( "    300*(p+5) - 300p = 10p*(p+5)\r\n" );
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document.write( "    300p + 1500 - 300p = 10p^2 + 50p\r\n" );
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document.write( "    10p^2 + 50p - 1500 = 0\r\n" );
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document.write( "    p^2 + 5p - 150 = 0\r\n" );
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document.write( "    (p-10)*(p+15) = 0.\r\n" );
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document.write( "Only positive root p = 10 is the solution.\r\n" );
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document.write( "CHECK.   -  = 30 - 20 = 10 books.    ! Precisely correct !\r\n" );
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document.write( "ANSWER.  The price of one (of each) book is 10 dollars.\r\n" );
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