document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131057>Question 131057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having problems setting up and solving the following word problem, can you help?\r<BR>\n" );
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document.write( "1.  An art dealer sold 2 artworks for $1520 thereby making a profit of 25% on the first work and 10% 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 art work.  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 #95689 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=95689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An art dealer sold 2 artworks for $1520 thereby making a profit of 25% on the first work and 10% 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 art work. Find the actual cost of each artwork.<BR>\n" );
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document.write( "Let price on 1st artwork be \"x\"; Let price on 2nd artwork be \"y\".<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "0.25x + 0.10y = 1520<BR>\n" );
document.write( "0.10x + 0.25y = 1535<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "25x + 10y = 152000<BR>\n" );
document.write( "10x + 25y = 153500<BR>\n" );
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document.write( "Multiply 1st by 25 and 2nd by 10 to get:<BR>\n" );
document.write( "250x + 100y = 152000*10<BR>\n" );
document.write( "250x + 625y = 153500*25<BR>\n" );
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document.write( "Subtract 1st from 2nd to get:<BR>\n" );
document.write( "625y = 2317500<BR>\n" );
document.write( "y = $3708<BR>\n" );
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document.write( "Substitute to solve for \"x\":<BR>\n" );
document.write( "250x + 100(3708) = 1520000<BR>\n" );
document.write( "250x = 1149200<BR>\n" );
document.write( "x = $4596.80<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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