Question 256112
Let {{{s}}} = number of union stewards
Let {{{u}}} = number of union employees
given:
(1) {{{120u + 144s = 6072}}}
(2) {{{u + s = 50}}}
(3) {{{s > u/20}}}
From (2), {{{s = 50 - u}}}
From (1), {{{120u + 144*(50 - u) = 6072}}}
{{{120u + 7200 - 144u = 6072}}}
{{{-24u = -1128}}}
{{{u = 47}}}
And, from (2) again,
{{{s = 50- u}}}
{{{s = 50 - 47}}}
{{{s = 3}}}
From (3)
{{{s > u/20}}}
{{{3 > 47/20}}}
{{{3 > 2.35}}}
All conditions are satisfied if  there are 3 stewards and 47 union employees