document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041185>Question 1041185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the latest class reunion of HS '70, a certain number of succesful alumni promised to donate equally for a new school project amounting to $240 000.00. Four of them failed to provide the certain amount of money. Hence, each of the remaining alumni had to pay $3 000.00 more to produce the sum. How many alumni had promised to pay originally?\r<BR>\n" );
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document.write( "Please state the solution! I really need to review this before our exams on Monday. Thanks alot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656159 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=656159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In the latest class reunion of HS '70, a certain number of successful alumni promised to donate equally for a new school project amounting to $240 000.00.<BR>\n" );
document.write( " Four of them failed to provide the certain amount of money.<BR>\n" );
document.write( " Hence, each of the remaining alumni had to pay $3 000.00 more to produce the sum.<BR>\n" );
document.write( " How many alumni had promised to pay originally?<BR>\n" );
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document.write( "let a = the no. of alums that promised to pay<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(a-4) = no. that actually paid<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240000%2Fa ALIGN=MIDDLE  ALT=\"240000%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amt that each originally agreed to pay<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24000%2F%28%28a-4%29%29 ALIGN=MIDDLE  ALT=\"24000%2F%28%28a-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amt that actually was paid <BR>\n" );
document.write( ":<BR>\n" );
document.write( "the equation, lets see if we can do this in \"thousands of dollars\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F%28%28a-4%29%29 ALIGN=MIDDLE  ALT=\"240%2F%28%28a-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2Fa ALIGN=MIDDLE  ALT=\"240%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "multiply by a(a-4)<BR>\n" );
document.write( "a(a-4)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F%28%28a-4%29%29 ALIGN=MIDDLE  ALT=\"240%2F%28%28a-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - a(a-4)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2Fa ALIGN=MIDDLE  ALT=\"240%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3a(a-4)<BR>\n" );
document.write( "cancel the denominators<BR>\n" );
document.write( "240a - 240(a-4) = 3a^2 - 12a<BR>\n" );
document.write( "240a - 240a + 960 = 3a^2 + 12a<BR>\n" );
document.write( "combine on the right to form a quadratic equation<BR>\n" );
document.write( "0 = 3a^2 - 12a - 960<BR>\n" );
document.write( "simplify divide by 3<BR>\n" );
document.write( "a^2 - 4a - 320 = 0<BR>\n" );
document.write( "You can us the quadratic formula a=1; b=-4; c=-320 but this will factor to:<BR>\n" );
document.write( "(a+16)(a-20) = 0<BR>\n" );
document.write( "the positive solution is what we want here<BR>\n" );
document.write( "a = 20 alums the original no. that promised to pay<BR>\n" );
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document.write( "let's see if this checks out, (16 alums actually paid).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F16 ALIGN=MIDDLE  ALT=\"240%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F20 ALIGN=MIDDLE  ALT=\"240%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "15 thousand - 12 thousand = 3 thousand<BR>\n" );
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