document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475944>Question 475944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $5100 for a job they finished. A journeyman makes 300% of what an apprentice makes and a master carpenter makes make 150% of what a journeyman makes. How much does each person on the crew earn? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326413 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=326413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = apprentices earnings<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j ALIGN=MIDDLE  ALT=\"j\"   DISABLED_style= \"max-width:90%; height:auto;\" > = journeyman's earnings<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > = master carpenter's earnings<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+j+%2B+m+=+5100+ ALIGN=MIDDLE  ALT=\"+a+%2B+j+%2B+m+=+5100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+3a+ ALIGN=MIDDLE  ALT=\"+j+=+3a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+1.5j+ ALIGN=MIDDLE  ALT=\"+m+=+1.5j+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 3 equations and 3 unknowns,<BR>\n" );
document.write( "so it's solvable<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+3a+ ALIGN=MIDDLE  ALT=\"+j+=+3a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+j%2F3+ ALIGN=MIDDLE  ALT=\"+a+=+j%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) and (3) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+j+%2B+m+=+5100+ ALIGN=MIDDLE  ALT=\"+a+%2B+j+%2B+m+=+5100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j%2F3+%2B+j+%2B+1.5j+=+5100+ ALIGN=MIDDLE  ALT=\"+j%2F3+%2B+j+%2B+1.5j+=+5100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+%2B+3j+%2B+4.5j+=+15300+ ALIGN=MIDDLE  ALT=\"+j+%2B+3j+%2B+4.5j+=+15300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8.5j+=+15300+ ALIGN=MIDDLE  ALT=\"+8.5j+=+15300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+1800+ ALIGN=MIDDLE  ALT=\"+j+=+1800+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and,<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+j%2F3+ ALIGN=MIDDLE  ALT=\"+a+=+j%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+600+ ALIGN=MIDDLE  ALT=\"+a+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and,<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+1.5j+ ALIGN=MIDDLE  ALT=\"+m+=+1.5j+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+1.5%2A1800+ ALIGN=MIDDLE  ALT=\"+m+=+1.5%2A1800+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+2700+ ALIGN=MIDDLE  ALT=\"+m+=+2700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$600 = apprentices earnings<BR>\n" );
document.write( "$1800 = journeyman's earnings<BR>\n" );
document.write( "$2700 = master carpenter's earnings<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+600+%2B+1800+%2B+2700+=+5100+ ALIGN=MIDDLE  ALT=\"+600+%2B+1800+%2B+2700+=+5100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5100+=+5100+ ALIGN=MIDDLE  ALT=\"+5100+=+5100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );