document.write( "Question 998781: URGENT HELP. The student council of XYZ School needed P225,000 for an annual trip. If five more members joined the group, each member would then save P500. How many students planned to make the trip?
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Algebra.Com's Answer #616539 by mananth(16946)\"\" \"About 
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Let the number of students initially be x\r
\n" ); document.write( "\n" ); document.write( "so cost per student = 225,000/x\r
\n" ); document.write( "\n" ); document.write( "5 more joined\r
\n" ); document.write( "\n" ); document.write( "cost per student = 225,000/(x+5)\r
\n" ); document.write( "\n" ); document.write( "difference is 500\r
\n" ); document.write( "\n" ); document.write( "225000/x - 225000/(x+5) =500\r
\n" ); document.write( "\n" ); document.write( "multiply by x(x+5)\r
\n" ); document.write( "\n" ); document.write( "225000(x+5) -225000x= 500(x)(x+5)\r
\n" ); document.write( "\n" ); document.write( "225000x+1125000-225000x = 500x^2+2500x\r
\n" ); document.write( "\n" ); document.write( "500x^2+2500x-1125000=0\r
\n" ); document.write( "\n" ); document.write( "/500
\n" ); document.write( "x^2+5x-2250=0\r
\n" ); document.write( "\n" ); document.write( "x^2+50x-45x-2259=0\r
\n" ); document.write( "\n" ); document.write( "x(x+50) -45(x+50)=0\r
\n" ); document.write( "\n" ); document.write( "(x+50)(x-45)=0\r
\n" ); document.write( "\n" ); document.write( "x = -50 or 45\r
\n" ); document.write( "\n" ); document.write( "discard -50\r
\n" ); document.write( "\n" ); document.write( "answer 45 students initially
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