document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152295>Question 1152295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alice, Bob, and Mary completed a project and were paid $25,000. Before the project started, they agreed that Alice should be paid $1000 less than twice Mary’s share and Bob should be paid $2000 more than Mary’s share. How much did each earn?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774283 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = alice's share<BR>\n" );
document.write( "b = bob's share<BR>\n" );
document.write( "m = mary's share\r<BR>\n" );
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document.write( "a + b + m = 25000\r<BR>\n" );
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document.write( "their agreement was:<BR>\n" );
document.write( "a = 2 * m - 1000<BR>\n" );
document.write( "b = m + 2000\r<BR>\n" );
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document.write( "replace a and b with their equivalents to get:<BR>\n" );
document.write( "a + b + m = 25000 becomes:<BR>\n" );
document.write( "2 * m - 1000 + m + 2000 + m = 25000<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "4 * m + 1000 = 25000<BR>\n" );
document.write( "subtract 1000 from both sides of the equation to get:<BR>\n" );
document.write( "4 * m = 24000<BR>\n" );
document.write( "solve for m to get:<BR>\n" );
document.write( "m = 24000 / 4 = 6000\r<BR>\n" );
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document.write( "a = 2 * m - 1000 becomes a = 2 * 6000 - 1000 which becomes a = 11000<BR>\n" );
document.write( "b = m + 2000 becomes b = 6000 + 2000 which becomes b = 8000\r<BR>\n" );
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document.write( "you have:<BR>\n" );
document.write( "a = 11000<BR>\n" );
document.write( "b = 8000<BR>\n" );
document.write( "m = 6000<BR>\n" );
document.write( "a + b + m = 11000 + 8000 + 6000 = 25000\r<BR>\n" );
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document.write( "your solution is that:<BR>\n" );
document.write( "alice earned 11000<BR>\n" );
document.write( "bob earned 8000<BR>\n" );
document.write( "mary earned 6000\r<BR>\n" );
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