document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328077>Question 328077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $40 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $15300??\r<BR>\n" );
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document.write( "How many units of lumber and how many units of plywood are needed to be sold to reach the profit??  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #234968 by </B><A HREF=/tutors/aboutme.mpl?userid=jessica43><B>jessica43(140)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jessica43><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=234968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this problem, you are going to have to write 2 equations using what you know.<BR>\n" );
document.write( "First, you know that the mill turns out 3 times as many units of plywood as lumber.  This can be written as:<BR>\n" );
document.write( "P = 3L (where P = units of plywood, L = units of lumber)<BR>\n" );
document.write( "Second, you know that it makes a profit of $30 on a unit of lumber and $40 on a unit of plywood and you want the total profit to equal $15300. So:<BR>\n" );
document.write( "30L + 40P = 15300<BR>\n" );
document.write( "Now you can plug the first equation into the second equation and solve for L:<BR>\n" );
document.write( "30L + 40P = 15300<BR>\n" );
document.write( "30L + 40(3L) = 15300<BR>\n" );
document.write( "30L + 120L = 15300<BR>\n" );
document.write( "150L = 15300<BR>\n" );
document.write( "L = 102<BR>\n" );
document.write( "So 102 units of lumber must be produced and sold.<BR>\n" );
document.write( "To find the number of plywood units, plug this into the first equation:<BR>\n" );
document.write( "P = 3L<BR>\n" );
document.write( "P = 3(102)<BR>\n" );
document.write( "P = 306<BR>\n" );
document.write( "So 306 units of plywood must be produced and sold. </SPAN>\n" );
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