document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150456>Question 1150456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tractor has a rear wheel with a circumference of x m. The circumference of the front wheel is 6m less. If the front wheel makes 10 more revolutions than the rear wheel every 360m, what is the circumference, in m, of the front wheel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771830 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=771830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = circumference of rear wheel in meters<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+6+ ALIGN=MIDDLE  ALT=\"+x+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = circumference of front wheel in meters<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360%2Fr+ ALIGN=MIDDLE  ALT=\"+360%2Fr+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = meters traced on ground for<BR>\n" );
document.write( "each revolution of the rear wheel<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360%2F%28+r+%2B+10+%29+ ALIGN=MIDDLE  ALT=\"+360%2F%28+r+%2B+10+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = meters traced on ground for<BR>\n" );
document.write( "each revolution of the front wheel<BR>\n" );
document.write( "--------------------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360%2Fr+=+x+ ALIGN=MIDDLE  ALT=\"+360%2Fr+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+360%2Fx+ ALIGN=MIDDLE  ALT=\"+r+=+360%2Fx+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360%2F%28+r+%2B+10+%29+=+x+-+6+ ALIGN=MIDDLE  ALT=\"+360%2F%28+r+%2B+10+%29+=+x+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+%2B+10+=+360%2F%28+x+-+6+%29+ ALIGN=MIDDLE  ALT=\"+r+%2B+10+=+360%2F%28+x+-+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360%2Fx+%2B+10+=+360%2F%28+x+-+6+%29+ ALIGN=MIDDLE  ALT=\"+360%2Fx+%2B+10+=+360%2F%28+x+-+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2A%28+x+-+6+%29+ ALIGN=MIDDLE  ALT=\"+x%2A%28+x+-+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360%2A%28+x+-+6+%29+%2B+10x%2A%28+x+-+6+%29+=+360x+ ALIGN=MIDDLE  ALT=\"+360%2A%28+x+-+6+%29+%2B+10x%2A%28+x+-+6+%29+=+360x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360x+-+2160+%2B+10x%5E2+-+60x+=+360x+ ALIGN=MIDDLE  ALT=\"+360x+-+2160+%2B+10x%5E2+-+60x+=+360x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10x%5E2+-+60x+-+2160+=+0+ ALIGN=MIDDLE  ALT=\"+10x%5E2+-+60x+-+2160+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+6x+-+216+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+6x+-+216+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+18+%29%2A%28+x+%2B+12+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+x+-+18+%29%2A%28+x+%2B+12+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The circumference of the rear wheel is 18 m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+6+=+18+-+6+ ALIGN=MIDDLE  ALT=\"+x+-+6+=+18+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+6+=+12+ ALIGN=MIDDLE  ALT=\"+x+-+6+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The circumference of the front wheel is 12 m<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+360%2Fx+ ALIGN=MIDDLE  ALT=\"+r+=+360%2Fx+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+360%2F18+ ALIGN=MIDDLE  ALT=\"+r+=+360%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+20+ ALIGN=MIDDLE  ALT=\"+r+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+%2B+10+=+360%2F%28+x+-+6+%29+ ALIGN=MIDDLE  ALT=\"+r+%2B+10+=+360%2F%28+x+-+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+%2B+10+=+360%2F+12+ ALIGN=MIDDLE  ALT=\"+r+%2B+10+=+360%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+%2B+10+=+30+ ALIGN=MIDDLE  ALT=\"+r+%2B+10+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+20+ ALIGN=MIDDLE  ALT=\"+r+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );