document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899334>Question 899334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Derek sold walking sticks. Had he charged $10 extra for each stick he would have made $1,800. However, had he sold 10 more sticks at the original price he would have made $2,000. <BR>\n" );
document.write( "a) How many sticks did he sell?<BR>\n" );
document.write( "b) How much was each stick? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545324 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=545324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Derek sold walking sticks. Had he charged $10 extra for each stick he would have made $1,800. However, had he sold 10 more sticks at the original price he would have made $2,000. <BR>\n" );
document.write( "a) How many sticks did he sell?<BR>\n" );
document.write( "b) How much was each stick?\r<BR>\n" );
document.write( "\n" );
document.write( "let number of walking sticks sold be x<BR>\n" );
document.write( "and price of walking stick =y\r<BR>\n" );
document.write( "\n" );
document.write( "(y+10)*x=1800\r<BR>\n" );
document.write( "\n" );
document.write( "(x+10)*y = 2000\r<BR>\n" );
document.write( "\n" );
document.write( "x=1800/y\r<BR>\n" );
document.write( "\n" );
document.write( "((1800/(y+10)) +10)*y = 2000\r<BR>\n" );
document.write( "\n" );
document.write( "(1800+10y+100)*y/(y+10)=2000\r<BR>\n" );
document.write( "\n" );
document.write( "1800y+10y^2+100y=2000y+20000\r<BR>\n" );
document.write( "\n" );
document.write( "10y^2-100y-20000=0\r<BR>\n" );
document.write( "\n" );
document.write( "/10<BR>\n" );
document.write( "y^2-10y-2000=0\r<BR>\n" );
document.write( "\n" );
document.write( "y^2-50y+40y-2000=0\r<BR>\n" );
document.write( "\n" );
document.write( "y(y-50)+40(y-50)=0\r<BR>\n" );
document.write( "\n" );
document.write( "(y-50)(y+40) = 0<BR>\n" );
document.write( "y= 50 the positive value the price of the stick\r<BR>\n" );
document.write( "\n" );
document.write( "plug y to get x\r<BR>\n" );
document.write( "\n" );
document.write( "x= 30 number of sticks\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );