document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189708>Question 189708</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078696801/algebrahomeworkh>Algebra I</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Help please, using substition i keep coming up with equal answers on each side of the equation and I am stuck.  I can't figure out what I am missing.  Thanks.\r<BR>\n" );
document.write( "\n" );
document.write( "This question is on a chapter review and is similar to question 34/35 on page 380 of Algebra 1 (ISBN 0-07-869680-1).\r<BR>\n" );
document.write( "\n" );
document.write( "Mike makes $500 per month plus a commission of 3% of the total sales he makes.  Zach makes $700 per month plus a commission of 2.5% of the total sales he makes.  What is the total sales each must make to have the same salary?  How much will eash person's salary be at that time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142349 by </B><A HREF=/tutors/aboutme.mpl?userid=jonvaliente><B>jonvaliente(64)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jonvaliente><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=jonvaliente><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=total sales each person must make\r<BR>\n" );
document.write( "\n" );
document.write( "Mike's salary = 500 + 0.03x<BR>\n" );
document.write( "Zach's salary = 700 + 0.025x\r<BR>\n" );
document.write( "\n" );
document.write( "500+0.03x=700+0.25x\r<BR>\n" );
document.write( "\n" );
document.write( "Subtracting 500 from each side, we get:\r<BR>\n" );
document.write( "\n" );
document.write( "500-500+0.03x=700-500+0.025x\r<BR>\n" );
document.write( "\n" );
document.write( "0.03x=200+0.025x\r<BR>\n" );
document.write( "\n" );
document.write( "Subtracting 0.025x from each side, we get:\r<BR>\n" );
document.write( "\n" );
document.write( "0.03x-0.025x=200+0.025x-0.025x\r<BR>\n" );
document.write( "\n" );
document.write( "0.005x=200\r<BR>\n" );
document.write( "\n" );
document.write( "Dividing both sides by 0.005, we get:\r<BR>\n" );
document.write( "\n" );
document.write( "0.005x/0.005=200/0.005\r<BR>\n" );
document.write( "\n" );
document.write( "x=40000\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore Mike and Zach needs to make $40,000 in sales so they get equal salaries.\r<BR>\n" );
document.write( "\n" );
document.write( "To check:\r<BR>\n" );
document.write( "\n" );
document.write( "Mike's Salary = 500 + 0.03(40000)=500 + 1200=1700<BR>\n" );
document.write( "Zach's Salary = 700 + 0.025(40000) = 700 + 1000=1700 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );