document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318695>Question 318695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car is for sale<BR>\n" );
document.write( "It's marked down 10%<BR>\n" );
document.write( "Then it's marked down 20% off the first sale price <BR>\n" );
document.write( "Then it's marked down 25% off the second sale price <BR>\n" );
document.write( "selling price $3240. What is the original price\r<BR>\n" );
document.write( "\n" );
document.write( "I've tried adding 25% to the 3240. and going that way but it's not right <BR>\n" );
document.write( "example:100.-25%is 75. but 75 + 25% is 93.75 <BR>\n" );
document.write( "please tell me what I am missing Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228141 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=228141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Unfortunately, the first solution is incorrect as the answer does not check.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let x = original price of the car\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since \"It's marked down 10%\", this means that the car goes from the original price of 'x' dollars to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-0.1x=0.9x ALIGN=MIDDLE  ALT=\"x-0.1x=0.9x\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars. So after the 10% discount, the car is now 0.9x dollars. Plug in some numbers to help you grasp this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, apply the 20% discount to the new price of 0.9x (not the old price of 'x' dollars) to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9x-0.2%280.9x%29=0.9x-0.18x=0.72x ALIGN=MIDDLE  ALT=\"0.9x-0.2%280.9x%29=0.9x-0.18x=0.72x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So after the 2nd discount of 20% (added on top of the first discount of 10%), the price of the car is now 0.72x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Finally, let's apply the third discount. So after applying the discount of 25% to the second sale price, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.72x-0.25%280.72x%29=0.72x-0.18x=0.54x ALIGN=MIDDLE  ALT=\"0.72x-0.25%280.72x%29=0.72x-0.18x=0.54x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So after applying all three discounts (in that exact order), the final price of the car is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.54x ALIGN=MIDDLE  ALT=\"0.54x\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Because we know that the final price is actually $3,240, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.54x=3240 ALIGN=MIDDLE  ALT=\"0.54x=3240\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now just divide both sides by 0.54 to isolate x and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3240%2F0.54=6000 ALIGN=MIDDLE  ALT=\"x=3240%2F0.54=6000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6000 ALIGN=MIDDLE  ALT=\"x=6000\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the price of the car was originally $6,000. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-----------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Check:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Original Price: $6000\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "After 10% discount, price is now: 6000-0.1*6000 = $5,400\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "After 20% discount, price is now: 5400-0.2*5400 = $4,320\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "After 25% discount, price is now: 4320-0.25*4320 = $3,240\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the final price is $3,240 and this confirms our answer. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );