document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152863>Question 1152863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "A box of  sweets is shared between A B C in the ratio of 3:4:5 B receives 48 sweets.\r<BR>\n" );
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document.write( "C shares some of  his sweets with his brothers. After sharing the ratio A B C is<BR>\n" );
document.write( "12;16;15.\r<BR>\n" );
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document.write( "Find the number of sweets C shared with his brothers. \r<BR>\n" );
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document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774986 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=774986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<font color=blue>A box of sweets is shared between A B C in the ratio of 3:4:5</font>, so this means <BR>\n" );
document.write( "A recieves 3/12 of the total<BR>\n" );
document.write( "B recieves 4/12 of the total<BR>\n" );
document.write( "C recieves 5/12 of the total<BR>\n" );
document.write( "note that 3+4+5 = 12\r<BR>\n" );
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document.write( "Since B got 48 pieces, and B got 4/12 of the total, we know that,<BR>\n" );
document.write( "x = total number of candies<BR>\n" );
document.write( "B = amount B gets<BR>\n" );
document.write( "B = (4/12)*x<BR>\n" );
document.write( "48 = (4/12)*x<BR>\n" );
document.write( "(4/12)*x = 48<BR>\n" );
document.write( "(1/3)*x = 48<BR>\n" );
document.write( "x = 3*48<BR>\n" );
document.write( "x = 144<BR>\n" );
document.write( "There are 144 candies total.\r<BR>\n" );
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document.write( "Now turn to the information that the ratio of A:B:C updates to 12:16:15 after C shares his some of sweets.\r<BR>\n" );
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document.write( "This means,<BR>\n" );
document.write( "A receives 12/43 of the total<BR>\n" );
document.write( "B receives 16/43 of the total<BR>\n" );
document.write( "C receives 15/43 of the total<BR>\n" );
document.write( "we have 12+16+15 = 43 \r<BR>\n" );
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document.write( "Assuming the total has not changed, then,<BR>\n" );
document.write( "A = (12/43)*x<BR>\n" );
document.write( "A = (12/43)*144<BR>\n" );
document.write( "A = 40.186046511628<BR>\n" );
document.write( "But this is not a whole number\r<BR>\n" );
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document.write( "So it is possible that your teacher made a typo when coming up with the ratios. <BR>\n" );
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