Question 321370
Let {{{y}}} = money in company fund before bonuses were paid
Let {{{x}}} = number of employees
given:
{{{50x = y + 5}}}
{{{45x = y - 95}}}
Rewriting these:
(1) {{{y = 50x - 5}}}
(2) {{{y = 45x + 95}}}
Subtract (2) from (1)
{{{0 = 5x - 100}}}
{{{5x = 100}}}
{{{x = 20}}}
and, from (1)
{{{y = 50*20 - 5}}}
{{{y = 1000 - 5}}}
{{{y = 995}}}
There was $995 in company fund originally
check:
(1) {{{y = 50x - 5}}}
{{{995 = 50*20 - 5}}}
{{{995 = 1000 - 5}}}
{{{995 = 995}}} and
(2) {{{y = 45x + 95}}}
{{{995 = 45*20 + 95}}}
{{{995 = 900 + 95}}}
{{{995 = 995}}}
OK