Question 1164484
During Holy week, ΒΌ of the office workers went out of the town, 
3/5 stayed at home
while the rest, numbering 9, had to work overtime.
How many total office workers are there?
:
let t = total number of workers
t = {{{1/4}}}t + {{{3/5}}}t + 9
multiply by 20 to get rid of the denominators
20t = 5t + 12t + 20(9)
20t = 17t + 180
20t - 17t = 180
3t = 180
t = 180/3
t = 60 workers
:
:
See if this checks out' 
{{{1/4}}}(60) = 15
{{{3/5}}}(60) = 36
overtime  =  9
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total    60