document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012290>Question 1012290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jen, Kathy, and Lou work Together. The ratio of Jen's salary to Kathy's salary is 4:3. Lou makes $4,000 more than Kathy does. If the total of their salaries is $134,000, how much does each person make? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628169 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call Jen's, Kathy's, and Lou's salary, J, K, and L.<BR>\n" );
document.write( "Then we have<BR>\n" );
document.write( "J/K = 4/3  or  J = (4/3)K<BR>\n" );
document.write( "We also have<BR>\n" );
document.write( "L = K + 4000<BR>\n" );
document.write( "Then if J + K + L = 134,000<BR>\n" );
document.write( "we can substitute in for J and L and get<BR>\n" );
document.write( "(4/3)K + K + (K + 4000) = 134000<BR>\n" );
document.write( "Putting the K's together, we have <BR>\n" );
document.write( "(10/3)K + 4000 = 134000<BR>\n" );
document.write( "(10/3)K = 130000<BR>\n" );
document.write( "Now multiply by 3/10 and get<BR>\n" );
document.write( "K = 39000<BR>\n" );
document.write( "Thus<BR>\n" );
document.write( "L = 43000<BR>\n" );
document.write( "and<BR>\n" );
document.write( "J = (4/3)(39000) = 52000<BR>\n" );
document.write( "Checking...<BR>\n" );
document.write( "39000+43000+52000=134000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );