document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=572054>Question 572054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If shelly gives John $5, they will have the same amount of money, If John gives shelly $5, she will have twice as much money as he will have.  How much money does each have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368278 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=368278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the amount of money that shelly has.<BR>\n" );
document.write( "let y = the amount of money that john has.\r<BR>\n" );
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document.write( "if shelly give john 5 dollars, then they both have the same amount of money.<BR>\n" );
document.write( "this leads to the equation:<BR>\n" );
document.write( "x-5 = y+5\r<BR>\n" );
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document.write( "if john give shelly 5 dollars, then shelly has twice as much money as john has.<BR>\n" );
document.write( "this leads to the equation:<BR>\n" );
document.write( "x+5 = 2(y-5)\r<BR>\n" );
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document.write( "solve for x in each equation to get:\r<BR>\n" );
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document.write( "x-5 = y+5 leads to:<BR>\n" );
document.write( "x = y+10\r<BR>\n" );
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document.write( "x+5 = 2(y-5) leads to:<BR>\n" );
document.write( "x+5 = 2y-10 which becomes:<BR>\n" );
document.write( "x = 2y-15\r<BR>\n" );
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document.write( "you have 2 expressions that are equal to x.<BR>\n" );
document.write( "they are:<BR>\n" );
document.write( "x = y+10<BR>\n" );
document.write( "x = 2y-15\r<BR>\n" );
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document.write( "you can set these expressions equal to each other to get:<BR>\n" );
document.write( "y+10 = 2y-15<BR>\n" );
document.write( "subtract y from both sides of this equation and add 15 to both sides of this equation to get:<BR>\n" );
document.write( "y = 25\r<BR>\n" );
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document.write( "since x = 2y-15, this leads to:<BR>\n" );
document.write( "x = 2(25)-15 which becomes:<BR>\n" );
document.write( "x = 35\r<BR>\n" );
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document.write( "the equation x = y + 10 leads to the same answer of:<BR>\n" );
document.write( "y =35\r<BR>\n" );
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document.write( "you have:<BR>\n" );
document.write( "x = 25<BR>\n" );
document.write( "y = 35\r<BR>\n" );
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document.write( "shelly has 35 dollars and john has 25 dollars.<BR>\n" );
document.write( "shelly gives john 5 dollars so shelly has 30 and john has 20 meaning:<BR>\n" );
document.write( "shelly and john have the same amount of money.\r<BR>\n" );
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document.write( "shelly has 35 dollars and john has 25 dollars.<BR>\n" );
document.write( "john give shelly 5 dollars and shelly has 40 and john has 20 meaning:<BR>\n" );
document.write( "shelly has twice as much money as john.\r<BR>\n" );
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document.write( "the problem has been satisfied so the answer is:<BR>\n" );
document.write( "shelly has 35 dollas.<BR>\n" );
document.write( "john has 25.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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