document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148153>Question 148153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, could someone please help me to understand this problem?\r<BR>\n" );
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document.write( "A wood company can convert logs into lumber or plywood. The mill turns out three times as many units of plywood as lumber. A profit of $20 on a untit of lumber and $50 on plywood. How many of each unit must be produced and sold in order to make a profit of $17,680? \r<BR>\n" );
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document.write( "Math is my worst subject and I have a very hard time understanding it.<BR>\n" );
document.write( " Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108542 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=108542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A wood company can convert logs into lumber or plywood. <BR>\n" );
document.write( "The mill turns out three times as many units of plywood as lumber.<BR>\n" );
document.write( "P and L are the number of units of Plywood and of Lumber. <BR>\n" );
document.write( "Quantity EQUATION: P = 3L<BR>\n" );
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document.write( "A profit of $20 on a unit of lumber and $50 on plywood. How many of each unit must be produced and sold in order to make a profit of $17,680?<BR>\n" );
document.write( "Value EQUATION: 50P + 20L = 17680<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "P - 3L = 0<BR>\n" );
document.write( "50P + 20L = 17680<BR>\n" );
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document.write( "Modify to allow elimination:<BR>\n" );
document.write( "50P - 150L = 0<BR>\n" );
document.write( "50P + 20L = 17680<BR>\n" );
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document.write( "Subtract 1st from 2nd so you can solve for \"L\":<BR>\n" );
document.write( "170L = 17680<BR>\n" );
document.write( "L = 104 (number of units of Lumber)<BR>\n" );
document.write( "Since P = 3L, P = 312 (number of units of Plywood)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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