document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629279>Question 629279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jack and David are both waiters at the same restaurant. Jack's compensation is $100 per week in salary plus 60% of all the tips he receives. David's compensation is $200 per week in salary plus 40% of his tips. If they both receive the same amount of tips and the same total compensation for a given week, what is that compensation, in dollars?\r<BR>\n" );
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document.write( "please include explanations! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396163 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=396163\">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=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the amount that both received in tips<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+ ALIGN=MIDDLE  ALT=\"+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the total weekly compensation for both<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Jack's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+100+%2B+.6t+ ALIGN=MIDDLE  ALT=\"+C+=+100+%2B+.6t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "David's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+200+%2B+.4t+ ALIGN=MIDDLE  ALT=\"+C+=+200+%2B+.4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "I can substitute (1) into (2)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+%2B+.6t+=+200+%2B+.4t+ ALIGN=MIDDLE  ALT=\"+100+%2B+.6t+=+200+%2B+.4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.2t+=+100+ ALIGN=MIDDLE  ALT=\"+.2t+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+500+ ALIGN=MIDDLE  ALT=\"+t+=+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into either (1) or (2)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C=+100+%2B+.6%2A500+ ALIGN=MIDDLE  ALT=\"+C=+100+%2B+.6%2A500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+100+%2B+300+ ALIGN=MIDDLE  ALT=\"+C+=+100+%2B+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+400+ ALIGN=MIDDLE  ALT=\"+C+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The total compensation for both on that week was $400<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+200+%2B+.4t+ ALIGN=MIDDLE  ALT=\"+C+=+200+%2B+.4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+=+200+%2B+.4t+ ALIGN=MIDDLE  ALT=\"+400+=+200+%2B+.4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+=+.4t+ ALIGN=MIDDLE  ALT=\"+200+=+.4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+200%2F.4+ ALIGN=MIDDLE  ALT=\"+t+=+200%2F.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+500+ ALIGN=MIDDLE  ALT=\"+t+=+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );