document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207675>Question 1207675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Sarah spent 3/8 of her allowance on food and 1/3 of the remainder on clothes. Then she shares the rest of her allowance equally with her sisters such that each of them received 1/12 of her total allowance. \r<BR>\n" );
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document.write( "How many sisters does she have.<BR>\n" );
document.write( "Given that they each received $208 dollars, how much does Sarah spend on clothes.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845678 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sarah spent 3/8 of her allowance on food and 1/3 of the remainder on clothes. Then she shares the rest of her allowance equally with her sisters such that each of them received 1/12 of her total allowance.<BR>\n" );
document.write( "How many sisters does she have.<BR>\n" );
document.write( "Given that they each received $208 dollars, how much does Sarah spend on clothes.\r<BR>\n" );
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document.write( "Sarah spent 3/8 of her allowance on food and 1/3 of the remainder on clothes.\r<BR>\n" );
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document.write( "Let her allowance be x\r<BR>\n" );
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document.write( "Spent 3x/8 on food<BR>\n" );
document.write( "Balance = x-3x/8 = 5x/8\r<BR>\n" );
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document.write( "She spent (1/3)*5x/8 on clothes = 5x/24\r<BR>\n" );
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document.write( "Now balance with her  (5x/8)- (5x/24) = 5x/12\r<BR>\n" );
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document.write( "Let number of sisters be n<BR>\n" );
document.write( "each sister got (1/12)x<BR>\n" );
document.write( "Total given to sisters = n(1/12)x<BR>\n" );
document.write( "Balance with her was 5x/12\r<BR>\n" );
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document.write( "5x/12 = n * (1/12)x\r<BR>\n" );
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document.write( "n = 5<BR>\n" );
document.write( "There were 5 sisters\r<BR>\n" );
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document.write( "Each sister got (1/12) x\r<BR>\n" );
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document.write( "208 = (1/12)x\r<BR>\n" );
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document.write( "x = 2496 Total allowance\r<BR>\n" );
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document.write( "Money spent  on clothes = 5x/24<BR>\n" );
document.write( "= 5*2496/24<BR>\n" );
document.write( "= 520\r<BR>\n" );
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document.write( "Money spent on clothes = 520\r<BR>\n" );
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document.write( "Check <BR>\n" );
document.write( "Money spent on clothes = 520<BR>\n" );
document.write( "Money spent on food = 3x/8 = 3*2496/8 = 936<BR>\n" );
document.write( "Money given to sisters = 5*208 = 1040\r<BR>\n" );
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document.write( "520+936+1040 =2496 which was her allowance.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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