document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155819>Question 155819</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131139487/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A candy company makes the popular Dandy Bar.  The rectangular shaped bar is 10 centimeters long, 5 cm wide, and 2 cm thick.  Because of increasing costs, the company has decided to cut the volume of the bar by a drastic 28%.  The thickness will be the same, but the length and width will be reduced by equal amounts.  What will be the length and width of the new bar? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114794 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=114794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A candy company makes the popular Dandy Bar. The rectangular shaped bar is 10 centimeters long, 5 cm wide, and 2 cm thick. Because of increasing costs, the company has decided to cut the volume of the bar by a drastic 28%. The thickness will be the same, but the length and width will be reduced by equal amounts. What will be the length and width of the new bar?<BR>\n" );
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document.write( "Let x = amount of reduction to length and width of candy bar<BR>\n" );
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document.write( "Volume = length*width*thickness<BR>\n" );
document.write( "Original volume = 10*5*2 = 100 sq cm<BR>\n" );
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document.write( "Our equation, \"28% reduction of volume\":<BR>\n" );
document.write( "(1-.28)(100) = (10-x)(5-x)2<BR>\n" );
document.write( "(.72)(100) = (50-10x-5x+x^2)2<BR>\n" );
document.write( "72 = 100-20x-10x+2x^2<BR>\n" );
document.write( "72 = 2x^2-30x+100<BR>\n" );
document.write( "0 = 2x^2-30x+28<BR>\n" );
document.write( "0 = x^2-15x+14<BR>\n" );
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document.write( "Factoring the right:<BR>\n" );
document.write( "0 = (x-1)(x-14)<BR>\n" );
document.write( "solutions x={1,14}<BR>\n" );
document.write( "We can toss the 14 out since our length is only 10 cm subtracting by 14 will produce a negative number -- doesn't make sense.  So we MUST conclude that the only solution is x=1 cm<BR>\n" );
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document.write( "Therefore, the conclusion is:<BR>\n" );
document.write( "Original size of candy bar: <BR>\n" );
document.write( "10 cm (length)<BR>\n" );
document.write( "5 cm (width)<BR>\n" );
document.write( "2 cm (thick)<BR>\n" );
document.write( "New size of candy bar:<BR>\n" );
document.write( "10-1 = 9 cm (lenth)<BR>\n" );
document.write( "5-1 = 4 cm (width)<BR>\n" );
document.write( "2 cm (thick)<BR>\n" );
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document.write( "Length of new candy bar: 9 cm<BR>\n" );
document.write( "Width of new candy bar: 4 cm\r<BR>\n" );
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document.write( " </SPAN>\n" );
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