document.write( "Question 1127968: The total outing cost for a group of people amounted to PhP8000. When an additional four people decided to join the outing, the cost per person decreased by PhP100. How many people originally joined the outing? \n" ); document.write( "

Algebra.Com's Answer #744451 by ikleyn(52781) $\"\"$ $\"About$

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document.write( " -  = 100   <<<---===  is the difference in the cost per person.\r\n" );
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document.write( "To solve this equation, multiply both sides by n*(n+4).\r\n" );
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document.write( "8000*(n+4) - 8000n = 100*n*(n+4)\r\n" );
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document.write( "80(n+4) - 80n = n*(n+4)\r\n" );
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document.write( "80n + 320 - 80n = n^2 + 4n\r\n" );
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document.write( "n^2 + 4n - 320 = 0\r\n" );
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document.write( "Factor the polynomial in the left side\r\n" );
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document.write( "(n+20)*(n-16) = 0.\r\n" );
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document.write( "Only positive root n= 16 is meaningful.\r\n" );
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document.write( "Answer.  16 people were there originally in the group.\r\n" );
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document.write( "Check.    -  = 500 - 400 = 100.    ! Correct !\r\n" );
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