Question 1202336
.


            I made a necessary correction in the solution by @josgarithmetic.



<pre>
               ORIGINAL    
Tom               t
Alice             x
Helen             x
Sally             s
SUM              430
</pre>


Tom spent $86.
{{{x=(2/3)(t-86)}}}


Sally was given $16.
{{{s+16=x}}}


----

{{{3x=2(t-86)}}}
{{{3x/2=t-86}}}
{{{t=3x/2+86}}}
-
{{{s=x-16}}}
-
substitute into SUM equation.
{{{highlight_green(3x/2+86+2x+(x-16)=430)}}}


{{{3x/2+3x-16+86=430}}}
{{{3x/2+3x=430+16-86}}}
{{{3x/2+3x=360}}}
{{{3x+6x=720}}}
{{{x=720/9}}}           &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<<<---===  &nbsp;&nbsp;it is the correction point
{{{highlight(x=80)}}}


Question asks effectively for s.
{{{s=x-16}}},  {{{s=80-16}}}
{{{highlight(highlight(s=64))}}}      &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>