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?

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) (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 = t + 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'
(60) = 15
(60) = 36
overtime = 9
---------------------
total 60
RELATED QUESTIONS
of the 95 childrens 3/5th went to parties .17 stayed at home and 15 went to relatives.how (answered by ankor@dixie-net.com)

On Friday night, 1/2 of the students went to the game, 1/3 of the rest of the students... (answered by Alan3354,MathTherapy)

Some adults attended a conference. 3/5 of the women and 5/9 of the men left after the... (answered by josmiceli,solver91311)

In a hall, 60% of the 2400 students are boys. Some boys went to the field to pitch tents... (answered by Theo)

If it take 5 workers 6 hours to paint an office, how long does it take 8 workers to paint (answered by Tobiasz,edjones,Alan3354,richwmiller)

Question: I had a flat tire after biking 3/4 of the way home. I walked the rest of the (answered by Mathtut,solver91311)

Tom Pepperoni is the manager of one of the largest Pizza Pie franchises in the country.... (answered by stanbon)

This problem mirrors the one I�ll have on the test. What should I use to get the... (answered by stanbon)

In my class, one-half of the students went to the dance, one-third of the remainder went... (answered by checkley77)