SOLUTION: During Holy week, ¼ 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?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: During Holy week, ¼ 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?      Log On


   



Question 1164484: During Holy week, ¼ 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?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
During Holy week, ¼ 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%2F4t + 3%2F5t + 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%2F4(60) = 15
3%2F5(60) = 36
overtime = 9
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total 60