document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108473>Question 1108473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three energy saving improvements are advertised to save 25%, 55% and 20%. A homeowner makes these three improvements in succession. What overall percentabe saving can be expected? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723468 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=723468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the first improvement saves you 25% of the cost.\r<BR>\n" );
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document.write( "your second improvement saves you an additional 55% of the cost after the first improvement.\r<BR>\n" );
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document.write( "your third improvement saves you an additional 20% of the cost after the second improvement.\r<BR>\n" );
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document.write( "the costs starts with x.\r<BR>\n" );
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document.write( "after the first improvement, the cost is x - .25 * x = .75 * x.\r<BR>\n" );
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document.write( "after the second improvement, the cost is .75 * x - .55 * .75 * x = .3375 * x.\r<BR>\n" );
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document.write( "after the third improvement, the cost is .3375 * x - .20 * .3375 * x = .27 * x.\r<BR>\n" );
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document.write( "you went from x to .27 * x.\r<BR>\n" );
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document.write( "this is a reduction in cost of .73 = 73%.\r<BR>\n" );
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document.write( "that's your overall savings percent.\r<BR>\n" );
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document.write( "to see how this works assume the original cost was 1,000.\r<BR>\n" );
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document.write( "take off 25% from that to get a first improvement cost of 750.\r<BR>\n" );
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document.write( "take off 55% from that to get a second improvement cost of 337.50.\r<BR>\n" );
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document.write( "take off 20% from that to get a third improvement cost of 270.\r<BR>\n" );
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document.write( "your cost went from 1,000 to 270.\r<BR>\n" );
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document.write( "that's a reduction in cost of 730.\r<BR>\n" );
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document.write( "the reduction percent is 730 / 1000 = .75 = 73%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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