document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149783>Question 149783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mother gave Claire and Jane each a certain amount of money to spend. If Jane spent all her money and Claire spect 3 times as much, Claire would have $100 left. If Jane spent all her money and Claire spent 1/3 of what Jane spent, Claire would have $580 left. Find the total amount of money given to Claire and Jane.\r<BR>\n" );
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document.write( "Rmks: Pls try not to use algebra. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109940 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=109940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mother gave Claire and Jane each a certain amount of money to spend.<BR>\n" );
document.write( "Clair got \"C\" ; Jane got \"J\".<BR>\n" );
document.write( "Total received: C + J<BR>\n" );
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document.write( "If Jane spent all her money and Claire spent 3 times as much, <BR>\n" );
document.write( "Claire would have $100 left.<BR>\n" );
document.write( "C - 3J = 100<BR>\n" );
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document.write( "If Jane spent all her money and Claire spent 1/3 of what Jane spent, Claire would have $580 left.<BR>\n" );
document.write( "C - (1/3)J = 580<BR>\n" );
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document.write( "Find the total amount of money given to Claire and Jane.<BR>\n" );
document.write( "Claire had 3*Jane's amount + $100<BR>\n" );
document.write( "Claire had (1/3)*Jane's amount + 580<BR>\n" );
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document.write( "Those amounts must be the same:<BR>\n" );
document.write( "3J + 100 = (1/3)J + 580<BR>\n" );
document.write( "(8/3)J = 480<BR>\n" );
document.write( "(1/3)J = 60<BR>\n" );
document.write( "J = $180 (amount Jane received from her mother)<BR>\n" );
document.write( "Since Claire had 3*J + 100, C = 3*180+100 = $640 <BR>\n" );
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document.write( "Total received from mother was 580 + 180 = $760<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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