Question 649405
<pre>
To divide N into the ratio a:b:c, 

1.  The part corresponding to a is {{{a*N/(a+b+c)}}}
2.  The part corresponding to b is {{{b*N/(a+b+c)}}}
3.  The part corresponding to c is {{{c*N/(a+b+c)}}}

To divide 56 into the ratio 3:5:6, 

1.  The part corresponding to 3 is {{{3*56/(3+5+6)}}} = {{{168/14}}} = 12
2.  The part corresponding to 5 is {{{5*56/(3+5+6)}}} = {{{280/14}}} = 20
3.  The part corresponding to 6 is {{{6*56/(3+5+6)}}} = {{{336/14}}} = 24


{{{drawing(400,100,-1,15,-1,1, 

line(0,0,14,0), circle(3,0,.1),circle(8,0,.1),circle(0,0,.1), circle(14,0,.1),

locate(0,0,C),locate(3,0,A),locate(8,0,B), locate(14,0,D),
locate(1.5,.3,12), locate(5.5,.3,20), locate(10.7,.3,24) )}}}

Edwin</pre>