document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181512>Question 181512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Giao wants to construct a picture frame made of wooden pieces that are 7 centimeters and 3 centimeters in length.  He needs 20 pieces, and the total perimeter of the frame needs to be 108 centimeters.  If Giao cuts eight 3 centimeter pieces first and is left with 0.8 meter of wood, will he have enough wood to cut the 7 centimeter pieces? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136270 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=136270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a picture frame made of wooden pieces that are 7 centimeters and 3 centimeters<BR>\n" );
document.write( " in length. He needs 20 pieces, and the total perimeter of the frame needs to<BR>\n" );
document.write( " be 108 centimeters. If Giao cuts eight 3 centimeter pieces first and is left <BR>\n" );
document.write( "with 0.8 meter of wood, will he have enough wood to cut the 7 centimeter pieces?<BR>\n" );
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document.write( "Find the no. of pieces of each required:<BR>\n" );
document.write( "Let x = no. of 7 cm pieces<BR>\n" );
document.write( "Let y = no. of 3 cm pieces<BR>\n" );
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document.write( "The total no. of pieces equation:<BR>\n" );
document.write( "x + y = 20<BR>\n" );
document.write( "y = (20-x); for substitution<BR>\n" );
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document.write( "The total length of these pieces:<BR>\n" );
document.write( "7x + 3y = 108<BR>\n" );
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document.write( "Substitute (20-x) for y<BR>\n" );
document.write( "7x + 3(20-x) = 108<BR>\n" );
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document.write( "7x + 60 - 3x = 108<BR>\n" );
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document.write( "7x - 3x = 108 - 60<BR>\n" );
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document.write( "4x = 48<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F4 ALIGN=MIDDLE  ALT=\"48%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 12 ea 7 cm pieces<BR>\n" );
document.write( "then<BR>\n" );
document.write( "20 - 12 = 8 ea 3 cm pieces<BR>\n" );
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document.write( "\"left with .8 m, will he have enough wood to cut the 7 centimeter pieces?\"<BR>\n" );
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document.write( ".8 m = 80 cm<BR>\n" );
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document.write( "80 - (12 * 7) = <BR>\n" );
document.write( "80 - 84 = -4, obviously, he won't </SPAN>\n" );
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