document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157845>Question 157845</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072967137/algebrahomeworkh>Practical Business Math Procedures</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 3 times as much money as Bob.  <BR>\n" );
document.write( "How much doe each have before and after earning the $6? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116301 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=116301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 3 times as much money as Bob.  How much doe each have before and after earning the $6?\r<BR>\n" );
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document.write( "If Bessy has 6 times as much as Bob, we can say the following:\r<BR>\n" );
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document.write( "Let 6x = Bessy's amount BEFORE she earn $6.\r<BR>\n" );
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document.write( "Let x = Bob's amount BEFORE he earns $6.\r<BR>\n" );
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document.write( "When Bessy earns $6, her new amount will be 6x + 6.\r<BR>\n" );
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document.write( "When Bob earns $6, his new amount will be x + 6.\r<BR>\n" );
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document.write( "After the increase of $6, Bessy \"...will have 3 times as much money as Bob.\"\r<BR>\n" );
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document.write( "We write this as 3(x + 6).  The quantity (x + 6), if you go back and read my notes, represents Bob's new amount after he earns $6. The 3 infront of the parentheses will be multiplied as stated in the question.\r<BR>\n" );
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document.write( "We can now form our equation and it looks like this:\r<BR>\n" );
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document.write( "6x + 6 = 3(x + 6)....Solve for x.\r<BR>\n" );
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document.write( "6x + 6 = 3x + 18\r<BR>\n" );
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document.write( "6x - 3x = 18 - 6\r<BR>\n" );
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document.write( "3x = 12\r<BR>\n" );
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document.write( "x = 12/3\r<BR>\n" );
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document.write( "x = 4\r<BR>\n" );
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document.write( "================\r<BR>\n" );
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document.write( "Is 4 the answer?  No, it is not.  We now use the value of x = 4 to find the before and after amounts for each person.\r<BR>\n" );
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document.write( "Bessy Before:\r<BR>\n" );
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document.write( "6x = 6(4) = $24\r<BR>\n" );
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document.write( "Bessy After:\r<BR>\n" );
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document.write( "6x + 6 = 6(4) + 6 = $30\r<BR>\n" );
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document.write( "=======================\r<BR>\n" );
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document.write( "Bob Before:\r<BR>\n" );
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document.write( "x = $4....The value we found for x in our equation above.\r<BR>\n" );
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document.write( "Bob After:\r<BR>\n" );
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document.write( "x + 6 = 4 + 6 = $10\r<BR>\n" );
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document.write( "Did you follow?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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