document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168898>Question 1168898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to a local survey, the ratio of houses with aluminum siding to houses with slate siding, how many houses have aluminum siding?\r<BR>\n" );
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document.write( "25/34=x/135 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793541 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=793541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ratio of aluminum to slate = 25/34\r<BR>\n" );
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document.write( "25/34 = x/135<BR>\n" );
document.write( "multiply both sides by 135 to get:<BR>\n" );
document.write( "135 * 25/34 = x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 135 * 25 / 34 = 99.26470588\r<BR>\n" );
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document.write( "this doesn't compute to integers.<BR>\n" );
document.write( "in order for that to happen, the number of total houses would need to be a multiple of 25 * 34 = 850<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "if 2 * 850 = 1700 houses, then;<BR>\n" );
document.write( "25/34 = x/1700<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 25/34 *  1700 =  1250<BR>\n" );
document.write( "number of houses with aluminum siding = 1250<BR>\n" );
document.write( "number of houses with slate siding = 1700 - 1250 = 450<BR>\n" );
document.write( "if the ratio of aluminum to slate is 25/34, then:<BR>\n" );
document.write( "the ratio of slate to aluminm will be (35 - 25) / 34 = 9/25<BR>\n" );
document.write( "9/34 * 1700 = 450\r<BR>\n" );
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document.write( "it all checks out.\r<BR>\n" );
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document.write( "in your problem, you did not get a whole number because 135 was not a least common multiple of 25 and 34.<BR>\n" );
document.write( "the lest common multiple of 25 and 34 was 850.\r<BR>\n" );
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document.write( "for your problem, best you could do was the solution that was determined above, and shown again below:\r<BR>\n" );
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document.write( "x = 135 * 25 / 34 = 99.26470588<BR>\n" );
document.write( "in fraction form, it's (135 * 25) / 34 = 3375/34.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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