document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80797>Question 80797</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh>Elementary & Intermediate Algebra: Concepts & Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been trying to figure this out for two days. I really need help!!(This is Applications of Linear Equations)<BR>\n" );
document.write( "An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57959 by </B><A HREF=/tutors/aboutme.mpl?userid=dolly><B>dolly(163)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dolly><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=57959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the cost of the first art work = $x<BR>\n" );
document.write( "Profit = 25% = 0.25<BR>\n" );
document.write( "So sale price = x + 0.25x<BR>\n" );
document.write( "              = 1.25x<BR>\n" );
document.write( "Let the cost of the second art work = $y<BR>\n" );
document.write( "Profit = 10% = 0.10<BR>\n" );
document.write( "So sale price = y + 0.10y<BR>\n" );
document.write( "              = 1.10y\r<BR>\n" );
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document.write( "Total sale price given = $1520\r<BR>\n" );
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document.write( "==> 1.25x + 1.10y = 1520 ------------(1)\r<BR>\n" );
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document.write( "Case (ii)\r<BR>\n" );
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document.write( "Profit on first work = 0.10<BR>\n" );
document.write( "so sale price = 1.10x\r<BR>\n" );
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document.write( "Profit on second work = 0.25<BR>\n" );
document.write( "so sale price = 1.25y \r<BR>\n" );
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document.write( "Total sale price given = $1535\r<BR>\n" );
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document.write( "==> 1.10x + 1.25y = 1535 ------------(2)\r<BR>\n" );
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document.write( "Adding 1 and 2 we get, 2.35x + 2.35y = 3050\r<BR>\n" );
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document.write( "==>                       x + y = 1300 [dividing by 2.35 throughout]------(3)\r<BR>\n" );
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document.write( "Subtracting 1 and 2 we get, 0.15x - 0.15y = - 15\r<BR>\n" );
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document.write( "==>                       x - y = -100 [dividing by 0.15 throughout]------(4)\r<BR>\n" );
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document.write( "Adding 3 and 4,  2x = 1200<BR>\n" );
document.write( "==>               x = 600\r<BR>\n" );
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document.write( "plugging in (3), we get y = 700\r<BR>\n" );
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document.write( "Thus the art works cost $600 and $ 700 respectively.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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