document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985334>Question 985334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> birr 6500 were divided equally among certain number of persons.had there been 15more persons,each would have got birr30less.find the original number of persons. </SPAN>\n" );
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document.write( "x=original number of people<BR>\n" );
document.write( "6500/x=(6500/(x+15))+30<BR>\n" );
document.write( "6500=6500x/(x+15)+30x<BR>\n" );
document.write( "6500(x+15)=6500x+30x(x+15)<BR>\n" );
document.write( "6500x+97500=6500x+30x^2+450x<BR>\n" );
document.write( "0=30x^2+450x-97500<BR>\n" );
document.write( "0=x^2+15x-3250<BR>\n" );
document.write( "0=(x-50)(x+65)<BR>\n" );
document.write( "x-50=0 OR x+65=0<BR>\n" );
document.write( "x=50 OR x=-65<BR>\n" );
document.write( "Cannot have -65 people, so the original number of people was 50.<BR>\n" );
document.write( ".ANSWER: There were originally 50 people.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "6500/50=130 birr<BR>\n" );
document.write( "6500/(x+15)=6500/(50+15)=6500/65=100 birr<BR>\n" );
document.write( "130 birr- 100 birr=30 birr Fifteen more people get 30 birr less.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );