document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169574>Question 169574</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> An employer has a daily payroll of $1225 when employing some workers at $80 per day and others at $85 per day. When the number of $80 workers is increased by 50% and the number of $85 workers is decreased by one-fifth, the new daily payroll is $1540. How many were originally employed at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124992 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=124992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call x and y the number of workers paid 80 and 85 dollars respecitively<BR>\n" );
document.write( ":<BR>\n" );
document.write( "80x+85y=1225...eq 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "80(x=.5x)+85(y-1/5y)=1540----><BR>\n" );
document.write( "120x+68y=1540....eq 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply eq 1 by 3 and eq 2 by -2 to eliminate the x terms<BR>\n" );
document.write( ":<BR>\n" );
document.write( "255y=3675<BR>\n" );
document.write( "-136y=-3080<BR>\n" );
document.write( "_____________<BR>\n" );
document.write( "119y=595<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 85 dollar workers<BR>\n" );
document.write( ":<BR>\n" );
document.write( "plug y's value into eq 1 or 2...I chose eq 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "80x+85(5)=1540<BR>\n" );
document.write( "80x=800<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=10%29 ALIGN=MIDDLE  ALT=\"highlight%28x=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 80 dollar workers </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );