Question 524684
<pre>
Rule:

To break a quantity Q down into parts in the ratio of 

      a:b:c

multiply Q by the fractions 

{{{a/(a+b+c)}}}, {{{b/(a+b+c)}}}, and {{{c/(a+b+c)}}}.

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We wish to break $464 down into parts in the ratio of
     
     3:5:8

so we multiply $464 by the fractions:

{{{3/(3+5+8)}}}, {{{5/(3+5+8)}}}, and {{{8/(3+5+8)}}},

or

{{{3/16}}}, {{{5/16}}}, and {{{8/16}}}

or 

{{{3/16}}}, {{{5/16}}}, and {{{1/2}}}
 
When we multiply we get:

{{{3/16}}},

{{{3/16}}}×$464, {{{5/16}}}×$464, and {{{1/2}}}×$464

            $87, $145, and $232
  
So Mary contributed $87, Bob contributed $145, and Dylan contributed $232.

Edwin</pre>