document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442927>Question 442927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with this problem\r<BR>\n" );
document.write( "\n" );
document.write( "divide 56 into two parts such that 3/8 of the larger number decreased by 6 equals 1/4 of the smaller number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305520 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So let's let the two parts be x and y. Let x be the larger number.\r<BR>\n" );
document.write( "\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+56 ALIGN=MIDDLE  ALT=\"x%2By+=+56\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=expr%283%2F8%29x-6+=+expr%281%2F4%29y ALIGN=MIDDLE  ALT=\"expr%283%2F8%29x-6+=+expr%281%2F4%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "You have yourself a system of equations.  Two unknowns, two equations. It's solvable.\r<BR>\n" );
document.write( "\n" );
document.write( "x+y = 56   ---> x = 56 -y\r<BR>\n" );
document.write( "\n" );
document.write( "Then\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=expr%283%2F8%29%2A%2856-y%29+-6+=+expr%281%2F4%29y ALIGN=MIDDLE  ALT=\"expr%283%2F8%29%2A%2856-y%29+-6+=+expr%281%2F4%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21+-+expr%283%2F8%29y+-6+=+expr%281%2F4%29y ALIGN=MIDDLE  ALT=\"21+-+expr%283%2F8%29y+-6+=+expr%281%2F4%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15+-+expr%283%2F8%29y+=+expr%281%2F4%29y ALIGN=MIDDLE  ALT=\"15+-+expr%283%2F8%29y+=+expr%281%2F4%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's multiply everything by 8.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120-+3y+=+2y ALIGN=MIDDLE  ALT=\"120-+3y+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120+=+5y ALIGN=MIDDLE  ALT=\"120+=+5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+24 ALIGN=MIDDLE  ALT=\"y+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+24+=+56 ALIGN=MIDDLE  ALT=\"x+%2B+24+=+56\"   DISABLED_style= \"max-width:90%; height:auto;\" > based on our first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+56-24+=+32 ALIGN=MIDDLE  ALT=\"x+=+56-24+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So our numbers are 32 and 24.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );