document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=758138>Question 758138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> my 6th grader had this for homework they barely started beg. algebra solving for x.  Don't know how to help him with the problem below.  Please help\r<BR>\n" );
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document.write( "the math team decided to sell customized pocket protectors as a fundraiser.  These were truly a hot item in our school, and $240 was raised.  Cecily had originally suggested a price that was $2 lower for each item, but if the team had agreed to that price they would have had to sell 20 more pocket protectors to get the $240\r<BR>\n" );
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document.write( "How many pocket protectors did they actually sell? what was the price of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #461263 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=461263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let p = the original price<BR>\n" );
document.write( "Let n = the number sold<BR>\n" );
document.write( "Since the amount raised is $240, we have n*p = 240<BR>\n" );
document.write( "If they had lowered the price by $2, they would have needed to sell 20 more to make $240.<BR>\n" );
document.write( "The equation for this is (n+20)(p-2) = 240<BR>\n" );
document.write( "Solve for p in the 1st equation and substitute in the 2nd:<BR>\n" );
document.write( "(n+20)(240/n-2) = 240<BR>\n" );
document.write( "If you perform the multiplication and simplify, your are left with <BR>\n" );
document.write( "n^2 + 20n - 2400 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(n+60)(n-40) = 0<BR>\n" );
document.write( "Take the positive solution, n = 40<BR>\n" );
document.write( "So they sold 40 pocket protectors at a cost of $6 each </SPAN>\n" );
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