document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172083>Question 1172083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Bob earns a 3.5% commission on all sales above $10,000 in any given month.  How much must Bob sell in a month in order to earn a commission of $1400?\r<BR>\n" );
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document.write( "2. A local store has two types of hard candy, one that sells for $1.30 per pound, and the other for $0.90 per pound.  How much of each type of candy should be used to create 100 lb of a mix that will sell for $1.00 per pound?\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 #797015 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> problem number 1:\r<BR>\n" );
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document.write( "let x = the total amount sold.<BR>\n" );
document.write( "let y = the commission.<BR>\n" );
document.write( "you have a split function.<BR>\n" );
document.write( "y = 0 when x <= 10,000<BR>\n" );
document.write( "y = .035 * (x - 10,000) when x is greater than 10,000.<BR>\n" );
document.write( "if he makes 1400 commission, you can assume he sold more than 10,000 worth.<BR>\n" );
document.write( "your equation is therefore:<BR>\n" );
document.write( "y = .035 * (x - 10,000)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "y = .035 * x - .035 * 10,000<BR>\n" );
document.write( "simplify further to get:<BR>\n" );
document.write( "y = .035 * x - 350<BR>\n" );
document.write( "when y = 1400, the equation becomes:<BR>\n" );
document.write( "1400 = .035 * x - 350<BR>\n" );
document.write( "add 350 to both sides of the equation to get:<BR>\n" );
document.write( "1750 = .035 8 x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 1750 / .035 = 50,000<BR>\n" );
document.write( "if he sells 50,000 worth in sales, he will make 1400 in commission.<BR>\n" );
document.write( "it works like this.<BR>\n" );
document.write( "he makes 0 commission on sales totaling 10,000.<BR>\n" );
document.write( "he makes 3.5% commission on all sales over 10,000.<BR>\n" );
document.write( "this becomes 50,000 - 10,000 = 40,000 worth of sales over 10,000.<BR>\n" );
document.write( "that gets you .035 * 40,000 = 1400.<BR>\n" );
document.write( "solution is confirmed to be good.<BR>\n" );
document.write( "he must sell 50,000 in a month in order to earn a commission of 1400 for that month.\r<BR>\n" );
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