Algebra.Com's Answer #854181 by n2(78)![\"\"](\"/images/stars/stars-08.gif\")  
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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,
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document.write( "so that the cost will decrease $2,000 per person. How  people are currently in the group ?
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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 consists of 20 people.\r\n" );
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document.write( "Solved.\r
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