document.write( "Question 1116863: A farmer bought some sheep for $2100. Two sheep died, and he sold the rest for $30 more a head than he paid for them. If he made a profit of $60, how many sheep did he buy? \n" ); document.write( "
Algebra.Com's Answer #731821 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "A farmer bought some sheep for $2100. Two sheep died, and he sold the rest for $30 more a head than he paid for them.
\n" ); document.write( "If he made a profit of $60, how many sheep did he buy?
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document.write( "Let n be the number of sheep he bought.\r\n" );
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document.write( "Then he paid  \"2100%2Fn\" dollars for each.     (*)\r\n" );
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document.write( "Later he sold  (n-2) sheep  for 2100 + 60 = 2160 dollars,  and we know that  \"2160%2F%28n-2%29\"  is 30 dollars more than (*).\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( "\"2160%2F%28n-2%29\" - \"2100%2Fn\" = 30.\r\n" );
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document.write( "Divide both sides by 30 to simplify. You will get\r\n" );
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document.write( "\"72%2F%28n-2%29\" - \"70%2Fn\" = 1.\r\n" );
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document.write( "Multiply both sides by n*(n-2). You will get\r\n" );
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document.write( "    72n - 70*(n-2) = n*(n-2)\r\n" );
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document.write( "    2n + 140 = n^2 - 2n\r\n" );
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document.write( "    n^2 - 4n - 140 = 0\r\n" );
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document.write( "    (n-14)*(n+10) = 0\r\n" );
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document.write( "The solution is  n = 14  sheeps.\r\n" );
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document.write( "Answer.   14 sheeps were originally.\r\n" );
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\n" ); document.write( "To see many other similar solved problems,  look in the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Challenging word problems solved using quadratic equations \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Quadratic equations\". \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
\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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