document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204637>Question 1204637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> angela has more money than carla. If angela gave carla 20$, they would have the same amount. If carla gave angela 22$, angela would have twice the amount as carla. How much does each person have? Form and use equations to find your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841025 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A different setup for solving the problem.  Not better, just different....<br><BR>\n" );
document.write( "If Angela gave Carla $20, they would each have the same amount.<br><BR>\n" );
document.write( "Let x be the amount they would each have if Angela gave Carla $20.<br><BR>\n" );
document.write( "Then the amount Angela starts with is x+20, and the amount Carla starts with is x-20.<br><BR>\n" );
document.write( "So if Carla gave Angela $22, the amount Angela would have would be x+20+22 = x+42, and the amount Carla would have would be x-20-22 = x-42.  In that case, Angela would have twice as much as Carla:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B42=2%28x-42%29 ALIGN=MIDDLE  ALT=\"x%2B42=2%28x-42%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B42=2x-84 ALIGN=MIDDLE  ALT=\"x%2B42=2x-84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=126 ALIGN=MIDDLE  ALT=\"x=126\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the amounts each of them has is...<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "Angela: x+20 = $146<BR>\n" );
document.write( "Carla: x-20 = $106<br><BR>\n" );
document.write( "Note that by looking for a different way to set up the problem, we can solve the problem using a single variable.  That often makes the work easier....  (But not always)<br><BR>\n" );
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