document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197937>Question 197937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> .} Recovering an investment. The manager at Cream of the Crop bought a load of watermelons for $200. She priced the melons so that she would make $1.50 profit on each melon. When all but 30 had been sold, the manager had recovered her initial investment. How many did she buy originally? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148427 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the number of watermelons bought<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+-+30 ALIGN=MIDDLE  ALT=\"w+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the number of watermelons sold<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2A%28w+-+30%29 ALIGN=MIDDLE  ALT=\"1.5%2A%28w+-+30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= profit made on watermelons sold<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fw ALIGN=MIDDLE  ALT=\"200%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" >= price paid per watermelon bought<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200%2Fw+%2B+1.5%29%2A%28w+-+30%29+=+200 ALIGN=MIDDLE  ALT=\"%28200%2Fw+%2B+1.5%29%2A%28w+-+30%29+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is (cost/wm + profit/wm)*(actual wm's sold) = investment<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fw+%2B+1.5+=+200%2F%28w+-+30%29 ALIGN=MIDDLE  ALT=\"200%2Fw+%2B+1.5+=+200%2F%28w+-+30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2A%28w+-+30%29 ALIGN=MIDDLE  ALT=\"w%2A%28w+-+30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2A%28w+-+30%29+%2B+1.5w%2A%28w+-+30%29+=+200w ALIGN=MIDDLE  ALT=\"200%2A%28w+-+30%29+%2B+1.5w%2A%28w+-+30%29+=+200w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200w+-+6000+%2B+1.5w%5E2+-+45w+=+200w ALIGN=MIDDLE  ALT=\"200w+-+6000+%2B+1.5w%5E2+-+45w+=+200w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5w%5E2+-+45w+-+6000+=+0 ALIGN=MIDDLE  ALT=\"1.5w%5E2+-+45w+-+6000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1.5 ALIGN=MIDDLE  ALT=\"a+=+1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-45 ALIGN=MIDDLE  ALT=\"b+=+-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-6000 ALIGN=MIDDLE  ALT=\"c+=+-6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-%28-45%29+%2B-+sqrt%28+%28-45%29%5E2-4%2A1.5%2A%28-6000%29+%29%29%2F%282%2A1.5%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-%28-45%29+%2B-+sqrt%28+%28-45%29%5E2-4%2A1.5%2A%28-6000%29+%29%29%2F%282%2A1.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2845+%2B-+sqrt%28+2025+%2B+36000+%29%29%2F3+ ALIGN=MIDDLE  ALT=\"w+=+%2845+%2B-+sqrt%28+2025+%2B+36000+%29%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2845+%2B-+sqrt%28+38025+%29%29%2F3+ ALIGN=MIDDLE  ALT=\"w+=+%2845+%2B-+sqrt%28+38025+%29%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2845+%2B-+195%29%2F3+ ALIGN=MIDDLE  ALT=\"w+=+%2845+%2B-+195%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+240%2F3 ALIGN=MIDDLE  ALT=\"w+=+240%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ignore negative result)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+80 ALIGN=MIDDLE  ALT=\"w+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "She bought 80 watermelons originally<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F80+=+2.5 ALIGN=MIDDLE  ALT=\"200%2F80+=+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >= price paid per watermelon<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80+-+30+=+50 ALIGN=MIDDLE  ALT=\"80+-+30+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" >= watermelons sold<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5%2A50+=+125 ALIGN=MIDDLE  ALT=\"2.5%2A50+=+125\"   DISABLED_style= \"max-width:90%; height:auto;\" >= price paid for water melons sold<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2A50+=+75 ALIGN=MIDDLE  ALT=\"1.5%2A50+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" >= profit on watermelons sold<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125+%2B+75+=+200 ALIGN=MIDDLE  ALT=\"125+%2B+75+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );