document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526049>Question 526049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an antique bike has two wheels. The front wheel has a radius that is 8 times bigger than the smaller wheel in back. when the bike has traveled 100ft the back wheel rotates 60 times more than the larger front wheel. What is the diameter of each wheel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348399 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=348399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An antique bike has two wheels.<BR>\n" );
document.write( " The front wheel has a radius that is 8 times bigger than the smaller wheel in back. <BR>\n" );
document.write( "when the bike has traveled 100ft the back wheel rotates 60 times more than the larger front wheel.<BR>\n" );
document.write( " What is the diameter of each wheel?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = diameter of the small wheel<BR>\n" );
document.write( "then<BR>\n" );
document.write( "8d = diameter of the large wheel<BR>\n" );
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document.write( "Change 100 ft to 1200 inches<BR>\n" );
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document.write( "large wheel rotations + 60 = small wheel rotations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F%28pi%2A8d%29 ALIGN=MIDDLE  ALT=\"1200%2F%28pi%2A8d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 60 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F%28pi%2Ad%29 ALIGN=MIDDLE  ALT=\"1200%2F%28pi%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply each term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ad ALIGN=MIDDLE  ALT=\"pi%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" >, results:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F8 ALIGN=MIDDLE  ALT=\"1200%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60pi%2Ad ALIGN=MIDDLE  ALT=\"60pi%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1200<BR>\n" );
document.write( ":<BR>\n" );
document.write( "150 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60pi%2Ad ALIGN=MIDDLE  ALT=\"60pi%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1200<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60pi%2Ad ALIGN=MIDDLE  ALT=\"60pi%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1200 - 150<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60pi%2Ad ALIGN=MIDDLE  ALT=\"60pi%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1050<BR>\n" );
document.write( ":<BR>\n" );
document.write( "divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A60 ALIGN=MIDDLE  ALT=\"pi%2A60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1050%2F%28pi%2A60%29 ALIGN=MIDDLE  ALT=\"1050%2F%28pi%2A60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "d = 5.57 inches is the diameter of the small wheel<BR>\n" );
document.write( "then<BR>\n" );
document.write( "8*5.57 = 44.56 inches is the diameter of the large wheel<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if this checks out, find no. of rotations of each wheel in 1200 inches<BR>\n" );
document.write( "1200/(pi*5.57) = 68.58 times<BR>\n" );
document.write( "1200/(pi*44.56) = 8.67 times<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "rotates differs ~ 60 rotations<BR>\n" );
document.write( " </SPAN>\n" );
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