document.write( "Question 282341: A group plans to share the cost equally for a $200,000 plane,the group wants to find 5 more people to join ,so that the cost will decrease $2,000 per person .How people are currently in the group.
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Algebra.Com's Answer #854180 by ikleyn(53742) $\"\"$ $\"About$

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\n" ); document.write( "A group plans to share the cost equally for a $200,000 plane, the group wants to find 5 more people to join,
\n" ); document.write( "so that the cost will decrease $2,000 per person. How $\"highlight%28many%29\"$ people are currently in the group ?
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\n" ); document.write( "\n" ); document.write( " The solution by @mananth is incorrect due to arithmetic errors inside of it.\r
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document.write( "The original scenario is    dollars per person.\r\n" );
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document.write( "The other scenario is    dollars per person.\r\n" );
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document.write( "The setup equation is\r\n" );
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document.write( "     -  = 2000.\r\n" );
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document.write( "Divide both side by 1000 to make writing easier\r\n" );
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document.write( "     -  = 2.\r\n" );
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document.write( "Reduce it to the quadratic equation\r\n" );
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document.write( "    x^2 + 5x - 5000 = 0.\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "    (x+25)*(x-20) = 0.\r\n" );
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document.write( "The roots are  x= -25  and  x= 20.\r\n" );
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document.write( "Since we look for a price, we accept the positive root and reject the negative one.\r\n" );
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document.write( "ANSWER.  Currently/originally the group is 20 people.\r\n" );
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