document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998400>Question 998400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a student bought some packets of pen for 2000 dollar. if she had paid 24 dollar less for each packet she could have bought 3 more packets. how many packet of pen did she buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616385 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  a student bought some packets of pen for 2000 dollar.<BR>\n" );
document.write( " if she had paid 24 dollar less for each packet she could have bought 3 more packets.<BR>\n" );
document.write( " how many packet of pen did she buy?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = no. of packets bought<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2Fx ALIGN=MIDDLE  ALT=\"2000%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost of each packet<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2Fx ALIGN=MIDDLE  ALT=\"2000%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 24 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2F%28%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"2000%2F%28%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply equation by x(x+3), cancel the denominators and you have<BR>\n" );
document.write( "2000(x+3) - 24x(x+3) = 2000x<BR>\n" );
document.write( "2000x + 6000 - 24x^2 - 72x = 2000x<BR>\n" );
document.write( "subtract 2000x from both sides<BR>\n" );
document.write( "6000 - 24x^2 - 72x = 0<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "-24x^2 - 72x + 6000 = 0<BR>\n" );
document.write( "simplify, divide by -24<BR>\n" );
document.write( "x^2 + 3x - 250 = 0<BR>\n" );
document.write( "you would expect an integer solution to a problem like this but I got<BR>\n" );
document.write( "x = 14.4 packets<BR>\n" );
document.write( ":<BR>\n" );
document.write( "And this checks out<BR>\n" );
document.write( "2000/14.4 = 138.90 for each packet<BR>\n" );
document.write( "When you drop the cost by $24, you have 114.90<BR>\n" );
document.write( "2000/114.90 = 17.4 packet which is 3 more than original </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );