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" );
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document.write( "The ratio initially is A:B:C = 3:4:5, with B having 48 sweets.<br><BR>\n" );
document.write( "Any number of different calculations can be done to determine that A has 36 sweets and C has 60 sweets; and the total number of sweets is 144.<br><BR>\n" );
document.write( "After C shares some of his sweets with A and B, the ratio is supposed to be A:B:C = 12:16:15.<br><BR>\n" );
document.write( "But 144 sweets can't be divided in the ratio 12:16:15 -- so the problem is flawed.<br><BR>\n" );
document.write( "If the ratio shown at the end of the problem is correct, then C didn't share any of his sweets with his brothers -- he simply ate some of his.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%2B16x%2B15x+=+43x ALIGN=MIDDLE  ALT=\"12x%2B16x%2B15x+=+43x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "x has to be an integer for which 43x is less than 144; the maximum value is 3.  That means the numbers of sweets are now 36, 48, and 45.<br><BR>\n" );
document.write( "So A and B still have the numbers they started with; and C has 15 fewer.<br><BR>\n" );
document.write( "And since I don't think he would have thrown them away, my guess is he ate them....<br><BR>\n" );
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