document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184977>Question 184977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the following into a system of equations, then solve it.\r<BR>\n" );
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document.write( "A customer walks into an electronics store and buys four MP3 players and six sets of headphones, paying $740. A second customer buys five MP3 players and four sets of headphones, and pays $785. How much does an MP3 player cost? How much does a set of headphones cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138805 by </B><A HREF=/tutors/aboutme.mpl?userid=SandyBeach><B>SandyBeach(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=SandyBeach><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let M be a MP3 player, and let H be a headphone.\r<BR>\n" );
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document.write( "\"A customer walks into an electronics store and buys four MP3 players and six sets of headphones, paying $740.\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M+%2B+6H+=+740 ALIGN=MIDDLE  ALT=\"4M+%2B+6H+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Let this be equation 1.\r<BR>\n" );
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document.write( "\"A second customer buys five MP3 players and four sets of headphones, and pays $785.\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5M+%2B+4H+=+785 ALIGN=MIDDLE  ALT=\"5M+%2B+4H+=+785\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Let this be equation 2.\r<BR>\n" );
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document.write( "Now you have 2 equations and 2 variables.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M+%2B+6H+=+740 ALIGN=MIDDLE  ALT=\"4M+%2B+6H+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5M+%2B+4H+=+785 ALIGN=MIDDLE  ALT=\"5M+%2B+4H+=+785\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take equation 2 and solve for M:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5M+%2B+4H+=+785 ALIGN=MIDDLE  ALT=\"5M+%2B+4H+=+785\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5M+%2B+4H+-4H=+785-4H ALIGN=MIDDLE  ALT=\"5M+%2B+4H+-4H=+785-4H\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract 4H from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5M+%2B+cross%284H%29+-cross%284H%29=+785-4H ALIGN=MIDDLE  ALT=\"5M+%2B+cross%284H%29+-cross%284H%29=+785-4H\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5M=+785-4H ALIGN=MIDDLE  ALT=\"5M=+785-4H\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5M%2F5=+785%2F5-4H%2F5 ALIGN=MIDDLE  ALT=\"5M%2F5=+785%2F5-4H%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Divide both sides by 5 to get M alone.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=+highlight%28157-4H%2F5%29 ALIGN=MIDDLE  ALT=\"M=+highlight%28157-4H%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Simplify.\r<BR>\n" );
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document.write( "Plug this M into equation 1 from above and solve for H.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M+%2B+6H+=+740 ALIGN=MIDDLE  ALT=\"4M+%2B+6H+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ahighlight%28%28157-4H%2F5%29%29+%2B+6H+=+740 ALIGN=MIDDLE  ALT=\"4%2Ahighlight%28%28157-4H%2F5%29%29+%2B+6H+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%29%2A157-highlight%284%29%2A4H%2F5+%2B+6H+=+740 ALIGN=MIDDLE  ALT=\"highlight%284%29%2A157-highlight%284%29%2A4H%2F5+%2B+6H+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute the 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=628-16H%2F5+%2B+6H+=+740 ALIGN=MIDDLE  ALT=\"628-16H%2F5+%2B+6H+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=628-highlight%28628%29-16H%2F5+%2B+6H+=+740-highlight%28628%29 ALIGN=MIDDLE  ALT=\"628-highlight%28628%29-16H%2F5+%2B+6H+=+740-highlight%28628%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 628 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16H%2F5+%2B+6H+=+112 ALIGN=MIDDLE  ALT=\"-16H%2F5+%2B+6H+=+112\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16H%2A5%2F5+%2B+6%2A5H+=+112%2A5 ALIGN=MIDDLE  ALT=\"-16H%2A5%2F5+%2B+6%2A5H+=+112%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16H+%2B+30H+=+560 ALIGN=MIDDLE  ALT=\"-16H+%2B+30H+=+560\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14H+=+560 ALIGN=MIDDLE  ALT=\"14H+=+560\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14H%2F14+=+560%2F14 ALIGN=MIDDLE  ALT=\"14H%2F14+=+560%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide by 14.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H+=+40 ALIGN=MIDDLE  ALT=\"H+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > So a set of headphones is $40.\r<BR>\n" );
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document.write( "Plug this back in the first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M+%2B+6H+=+740 ALIGN=MIDDLE  ALT=\"4M+%2B+6H+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M+%2B+6%2840%29+=+740 ALIGN=MIDDLE  ALT=\"4M+%2B+6%2840%29+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M+%2B+240+=+740 ALIGN=MIDDLE  ALT=\"4M+%2B+240+=+740\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M+%2B+240+-+240+=+740+-+240 ALIGN=MIDDLE  ALT=\"4M+%2B+240+-+240+=+740+-+240\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M+=+500 ALIGN=MIDDLE  ALT=\"4M+=+500\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4M%2F4+=+500%2F4 ALIGN=MIDDLE  ALT=\"4M%2F4+=+500%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+=+125 ALIGN=MIDDLE  ALT=\"M+=+125\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So an MP3 player costs $125. \r<BR>\n" );
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document.write( "Check by plugging into the second equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5M+%2B+4H+=+785 ALIGN=MIDDLE  ALT=\"5M+%2B+4H+=+785\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28125%29+%2B+4%2840%29+=+785 ALIGN=MIDDLE  ALT=\"5%28125%29+%2B+4%2840%29+=+785\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=625+%2B+160+=+785 ALIGN=MIDDLE  ALT=\"625+%2B+160+=+785\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=785+=+785 ALIGN=MIDDLE  ALT=\"785+=+785\"   DISABLED_style= \"max-width:90%; height:auto;\" >  It checks.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );