document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421484>Question 421484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this word equation with full working out. \r<BR>\n" );
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document.write( "ben and vickky have $250 between them. ben gives Vickky $50. now vickky has 4 times as much money as Ben. use an equation to find out how much money each of them had to start with. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294344 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=294344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b equals amount of money that ben has.<BR>\n" );
document.write( "v equals amount of money that vickie has.\r<BR>\n" );
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document.write( "b + v = $250.00\r<BR>\n" );
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document.write( "ben give vickie $50.\r<BR>\n" );
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document.write( "ben is left with b - 50<BR>\n" );
document.write( "vickie is left with v + 50\r<BR>\n" );
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document.write( "now vickie has 4 times as much money as ben has.\r<BR>\n" );
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document.write( "this leads to the equation of:\r<BR>\n" );
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document.write( "v + 50 = 4 * (b-50)\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "b + v = 250<BR>\n" );
document.write( "v + 50 = 4 * (b - 50)\r<BR>\n" );
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document.write( "you can use the first equation to solve for v or b.   we'll solve for b.\r<BR>\n" );
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document.write( "we get b = 250 - v\r<BR>\n" );
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document.write( "you can then substitute for b in the second equation to get:\r<BR>\n" );
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document.write( "v + 50 = 4 * (b - 50) becomes:\r<BR>\n" );
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document.write( "v + 50 = 4 * (250 - v - 50)\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "v + 50 = 4 * (200 - v)\r<BR>\n" );
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document.write( "perform indicated operations to get:\r<BR>\n" );
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document.write( "v + 50 = 800 - 4*v\r<BR>\n" );
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document.write( "add 4*v to both sides of the equation and subtract 50 from both sides of the equation to get:\r<BR>\n" );
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document.write( "v + 4*v = 800 - 50\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "5*v = 750\r<BR>\n" );
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document.write( "divide both sides of the equation by 5 to get:\r<BR>\n" );
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document.write( "v = 150\r<BR>\n" );
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document.write( "since b + v = 250, this means that b = 100\r<BR>\n" );
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document.write( "we have b = 100 and v = 150\r<BR>\n" );
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document.write( "this satisfies b + v = 250\r<BR>\n" );
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document.write( "we also need to satisfy v + 50 = 4 * (b-50)\r<BR>\n" );
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document.write( "substitute in this equation to get:\r<BR>\n" );
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document.write( "150 + 50 = 4 * (100 - 50)\r<BR>\n" );
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document.write( "perform indicated operations to get:\r<BR>\n" );
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document.write( "200 = 4 * 50 which becomes 200 = 200 which is true.\r<BR>\n" );
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document.write( "looks looks like the values for b and v are good.\r<BR>\n" );
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document.write( "answer is:\r<BR>\n" );
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document.write( "ben starts off with 100 dollars and vickie starts off with 150 dollars.\r<BR>\n" );
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document.write( "ben give vickie 50 dollars.\r<BR>\n" );
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document.write( "ben now has 50 dollars and vickie has 200 dollars.\r<BR>\n" );
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document.write( "vickie now has 4 times the money that ben has.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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