document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219017>Question 219017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Yuli sells quilts that she makes from her home. She sells each quilt for $500, but it costs her about $150 for the fabric, needles, and thread she uses for each. When she first decided to start her business, she needed to invest in $1050 in a good sewing machine. How many quilts will she need to make in order for her to break even? How much money will she have spent by then?\r<BR>\n" );
document.write( "\n" );
document.write( "1.list variables shown<BR>\n" );
document.write( "2.system of equations you used to solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165208 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yuli sells quilts that she makes from her home. She sells each quilt for $500, but it costs her about $150 for the fabric, needles, and thread she uses for each. When she first decided to start her business, she needed to invest in $1050 in a good sewing machine. How many quilts will she need to make in order for her to break even? How much money will she have spent by then?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1.list variables shown<BR>\n" );
document.write( "Let n = number of quilts <BR>\n" );
document.write( "Let C = cost<BR>\n" );
document.write( "Let R = Revenue received<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2.system of equations you used to solve<BR>\n" );
document.write( "C = 150n + 1050<BR>\n" );
document.write( "R = 500n<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To break even, R = C, therefore<BR>\n" );
document.write( "500n = 150n + 1050<BR>\n" );
document.write( "500n - 150n = 1050<BR>\n" );
document.write( "350n = 1050<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1050%2F350 ALIGN=MIDDLE  ALT=\"1050%2F350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 3 quilts have to be sold to break even<BR>\n" );
document.write( ":<BR>\n" );
document.write( "How much money will she have spent by then?<BR>\n" );
document.write( "Using the cost equation, n=3<BR>\n" );
document.write( "C = 3(150) + 1050<BR>\n" );
document.write( "C = 450 + 1050<BR>\n" );
document.write( "C = $1500 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );