document.write( "Question 1107938: A publisher printed acertain number of book if He Has Printed 2000 copies more each copy would have cost of rupees 5
\n" ); document.write( " less. If he had printed 1600 copies less then each copy would have cost him rupees 10 more . Find the number of copies printed and the cost of each book \n" ); document.write( "

Algebra.Com's Answer #722988 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "Let N be the number of copies and p be the price for one single copy in the base scenario.\r\n" );
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document.write( "Then the condition gives you this system of 2 non-linear equations\r\n" );
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document.write( "Np = (N+2000)*(p-5),              (1)\r\n" );
document.write( "Np = (N-1600)*(p+10),             (2)\r\n" );
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document.write( "It is equivalent to\r\n" );
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document.write( "Np = Np + 2000p -  5N - 10000,    (1')\r\n" );
document.write( "Np = Np - 1600p + 10N - 16000.    (2')\r\n" );
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document.write( "Simplifying it, you get\r\n" );
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document.write( " 2000p - 5N = 10000,              (1'')\r\n" );
document.write( "-1600p + 10N = 16000.             (2'')\r\n" );
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document.write( "This system is just a linear, and you can easily solve it by using the Elimination method:\r\n" );
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document.write( " 4000p - 10N = 20000              (1''')\r\n" );
document.write( "-1600p + 10N = 16000              (2''')\r\n" );
document.write( "-----------------------------Add the equations\r\n" );
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document.write( " 2400p       = 36000  ====>  p =  = 15.\r\n" );
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document.write( "Then from eq(2''')  10N = 16000 + 1600*15 = 40000  ====>  N = 4000.\r\n" );
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document.write( "Answer.  N= 4000,  p= 15.\r\n" );
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\n" ); document.write( "To see many other similar solved problems, look into the lesson\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( " ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Miscellaneous word problems\",\r
\n" ); document.write( "\n" ); document.write( "where you can find tons of interesting problems.\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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