document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=913895>Question 913895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Currently, you have $160, and your brother has $290. You decide to save $6 of your allowance each week, while your brother spends $7 of his allowance each week. How long will it be before you have as much money as your brother? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554781 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=554781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Currently, you have $160, and your brother has $290. You decide to save $6 of your allowance each week, while your brother spends $7 of his allowance each week. How long will it be before you have as much money as your brother?<BR>\n" );
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document.write( "Let x = number of weeks\r<BR>\n" );
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document.write( "You have $160 and you are saving $6 a week. So after x weeks, you'll have 160+6x dollars.\r<BR>\n" );
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document.write( "Your brother has $290 and he's spending $7 a week. After x weeks, he will have 290-7x dollars\r<BR>\n" );
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document.write( "Set the two expressions equal to each other and solve for x.\r<BR>\n" );
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document.write( "	160+6x = 290 - 7x\r\n" );
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document.write( "	160+6x+7x = 290\r\n" );
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document.write( "	6x+7x = 290-160\r\n" );
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document.write( "	13x = 130\r\n" );
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document.write( "	x = 130/13\r\n" );
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document.write( "	x = 10\r\n" );
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document.write( "In 10 weeks, ie at week x = 10, you and your brother will have the same amount of money.\r<BR>\n" );
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document.write( "Both of you will have 160+6*10 = 160+60 = 220 dollars\r<BR>\n" );
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document.write( "Let me know if you need more help or if you need me to explain a step in more detail.<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jim  </SPAN>\n" );
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