document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697753>Question 697753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a souvenier shop, Jodi purchased 2 small picture frames and 1 large one for $28. Mike bought 3 medium frames and 2 large ones for $56. Shelly bought a small, a medium, and a large frame for $30. Write and solve a system of equations to find the price of each size of picture frame.\r<BR>\n" );
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document.write( "Help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430262 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=430262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a souvenier shop, Jodi purchased 2 small picture frames and 1 large one for $28. Mike bought 3 medium frames and 2 large ones for $56. Shelly bought a small, a medium, and a large frame for $30. Write and solve a system of equations to find the price of each size of picture frame. <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "2s + L = 28<BR>\n" );
document.write( "3m + 2L = 56<BR>\n" );
document.write( "s + m + L = 30<BR>\n" );
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document.write( "Substitute for \"s\" and for \"m\" ; solve for \"L\":<BR>\n" );
document.write( "s = (-L/2)+14<BR>\n" );
document.write( "m = (-2/3)L + (56/3)<BR>\n" );
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document.write( "(-L/2) + 14 + (-2/3)L + (56/3) + L = 30<BR>\n" );
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document.write( "Multiply thru by 6 to get:<BR>\n" );
document.write( "-3L + 84 -4L + 112 + 6L = 180<BR>\n" );
document.write( "-L + 196 = 180<BR>\n" );
document.write( "-L = -16<BR>\n" );
document.write( "L = 16 (# of large frames)<BR>\n" );
document.write( "s = -8+14 = 6 (# of small frames)<BR>\n" );
document.write( "m = (-2/3)(16)+(56/3) = 8 (# of medium frames)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
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document.write( "Stan H. </SPAN>\n" );
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