Question 1208419
If you would start three variables as j, Mrs. Johnson; b, Bernard, and r, Raymond, then the ratio information would give these initial money amounts in just a single variable:

Mrs. Johnson  {{{5b/2}}}
Bernard  {{{b}}}
Raymond {{{4b/3}}}


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20% from Mrs. Johnson to Raymond and one-third of Barnard's to charity


Mrs. Johnson  {{{0.8(5b/2)=(4/5)(5b/2)=2b}}}

Bernard   {{{(2/3)b=2b/3}}}

Raymond  {{{4b/3+0.2*(5b/2)=4b/3+(1/5)(5b/2)=4b/3+b/2=8b/6+3b/6=11b/6}}}



Raymond has 4270 more dollars than bernard.
{{{11b/6-2b/3=4270=4270}}}----not too hard to solve.