document.write( "Question 393661: The total outing cost for a group of people amounted to Php. 8000. When an additional 4 persons decided to join the outing, the cost per person decreased by Php. 100. How many people actually joined the outing? (Show Your Solution) \n" ); document.write( "
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The total outing cost for a group of people amounted to Php. 8000. When an additional 4 persons decided to join the outing, the cost per person decreased by Php. 100. How many people actually joined the outing? (Show Your Solution)
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\n" ); document.write( "the total outing cost for a group of people amounted to P8000. when an additional 4 persons decided to join the outing, the cost per person decreased by P100. how many actually joined the outing?
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\n" ); document.write( "let there be x persons
\n" ); document.write( "cost per person = 8000/x
\n" ); document.write( "..
\n" ); document.write( "4 persons join
\n" ); document.write( "=x+4
\n" ); document.write( "cost reduces by 100
\n" ); document.write( "..
\n" ); document.write( "8000/x - 8000/(x+4)= 100
\n" ); document.write( "LCD = x(x+4)
\n" ); document.write( "(8000(x+4)-8000x)/x(x+4)=100
\n" ); document.write( "8000x+32000-8000x=100(x(x+4))
\n" ); document.write( "32000=100x^2+400x
\n" ); document.write( "/100
\n" ); document.write( "320=x^2+4x\r
\n" ); document.write( "\n" ); document.write( "x^2+4x-320=0
\n" ); document.write( "x^2+20x-16x-320=0
\n" ); document.write( "x(x+20)-16(x+20)=0
\n" ); document.write( "(x-16)(x+20)=0
\n" ); document.write( "x= 16 which is positive
\n" ); document.write( "Initially 16 persons joined the outing.
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca
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