document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872872>Question 872872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A trader bought paraffin for $500. He paid $x for each litre.<BR>\n" );
document.write( "a) Due to a leak he lost 3 litres of paraffin. He sold the remainder for $1 per liter more than he paid for it. Write an experession in terms of x for his total income. <BR>\n" );
document.write( "B) He made a $20 profit. Write and solve the equation which represents this information.<BR>\n" );
document.write( "c) How many litres of paraffin did he sell?\r<BR>\n" );
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document.write( "I know that 500/x is the amount of litres he bought, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fx+-3 ALIGN=MIDDLE  ALT=\"500%2Fx+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the remaining amount. I don't know what to do next, is the remaining amount multiplied by (x+1)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526490 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A trader bought paraffin for $500. He paid $x for each litre.\r<BR>\n" );
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document.write( "Number of litres he bought = 500/x\r<BR>\n" );
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document.write( "a) Due to a leak he lost 3 litres of paraffin.\r<BR>\n" );
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document.write( "balance = (500/x) -3 \r<BR>\n" );
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document.write( "He sold the remainder for $1 per liter more than he paid for it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28500%2Fx%29-3%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28%28500%2Fx%29-3%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = total sales\r<BR>\n" );
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document.write( "Profit =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28500%2Fx%29-3%29%28x%2B1%29-500 ALIGN=MIDDLE  ALT=\"%28%28500%2Fx%29-3%29%28x%2B1%29-500\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " <BR>\n" );
document.write( " Write an expression in terms of x for his total income.\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( "B) He made a $20 profit.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28500%2Fx%29-3%29%28x%2B1%29-500 ALIGN=MIDDLE  ALT=\"%28%28500%2Fx%29-3%29%28x%2B1%29-500\"   DISABLED_style= \"max-width:90%; height:auto;\" >=20<BR>\n" );
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document.write( "c) How many litres of paraffin did he sell?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28500%2Fx%29-3%29%28x%2B1%29=520 ALIGN=MIDDLE  ALT=\"%28%28500%2Fx%29-3%29%28x%2B1%29=520\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "mulyiply by <BR>\n" );
document.write( "(500-3x)(x+1) =520x\r<BR>\n" );
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document.write( "500x+500-3x^2-3x=520x\r<BR>\n" );
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document.write( "3x^2+23x-500=0\r<BR>\n" );
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document.write( "solve \r<BR>\n" );
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document.write( "a=	3	,	b=	23	,	c=	-500	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "b^2-4ac=	529	+	6000					<BR>\n" );
document.write( "b^2-4ac=	6529							<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%096529%09%29=%0980.8%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%096529%09%29=%0980.8%09\"   DISABLED_style= \"max-width:90%; height:auto;\" >			<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
document.write( "x1=(	-23	+	80.8	)/	6			<BR>\n" );
document.write( "x1=	9.63							<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
document.write( "x2=(	-23	-80.8	) /	6				<BR>\n" );
document.write( "x2=	-17.30							<BR>\n" );
document.write( "Ignore negative value								<BR>\n" );
document.write( "cost per litre = 9.63<BR>\n" );
document.write( "that works out to 51.92 litres\r<BR>\n" );
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document.write( "he sold 48.92 litres @ 10.63\r<BR>\n" );
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document.write( "= 520.02 </SPAN>\n" );
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