document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153170>Question 153170</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131139487/algebrahomeworkh>introductory mathematical analysis  , for business ,economics and the life and social science</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\">      commission \r<BR>\n" );
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document.write( "A company pays its sales people on a basis of percentage of the first $100,000<BR>\n" );
document.write( "in sales , plus a certain percentage of any amount over $100,000 in sales .If one salesperson earned $8500 on sales of $175000 and another sales person earned $14,800 on sales of $280,000 find the two percentages\r<BR>\n" );
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document.write( "    I have a deep desire to master worded problems, However i am  having problems constructing the models.Can you advise me on how solve  a problem like this one. I trying hard to learn from examples.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112682 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x= the first percentage (applied to 100000)<BR>\n" );
document.write( "Let y = the second percentage (applied to the difference between the sales and 100000)<BR>\n" );
document.write( "If one salesperson earned $8500 on sales of $175000 \r<BR>\n" );
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document.write( "then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100000x%2B%28175000-100000%29y=8500 ALIGN=MIDDLE  ALT=\"100000x%2B%28175000-100000%29y=8500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and another sales person earned $14,800 on sales of $280,000 <BR>\n" );
document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100000x%2B%28280000-100000%29y=14800 ALIGN=MIDDLE  ALT=\"100000x%2B%28280000-100000%29y=14800\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then 2 equations are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100000x%2B75000y+=+8500 ALIGN=MIDDLE  ALT=\"100000x%2B75000y+=+8500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100000x%2B180000y+=+14800 ALIGN=MIDDLE  ALT=\"100000x%2B180000y+=+14800\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "doing 1st eq by -1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-100000x-75000y+=+-8500 ALIGN=MIDDLE  ALT=\"-100000x-75000y+=+-8500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100000x%2B180000y+=+14800 ALIGN=MIDDLE  ALT=\"100000x%2B180000y+=+14800\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "adding both equations we have:\r<BR>\n" );
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document.write( "105000y=6300<BR>\n" );
document.write( "then y=0.06 (6%)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100000x%2B180000%280.06%29+=+14800 ALIGN=MIDDLE  ALT=\"100000x%2B180000%280.06%29+=+14800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100000x+=+14800-10800=4000 ALIGN=MIDDLE  ALT=\"100000x+=+14800-10800=4000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then x=0.04 (4%)\r<BR>\n" );
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document.write( "Answer: 1st percentage is 4% and the second is 6%\r<BR>\n" );
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