SOLUTION: A work take 36 days to be completed. But 8 people did not come on work. then work take 54 days. How many people are there

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Question 896658: A work take 36 days to be completed. But 8 people did not come on work. then work take 54 days. How many people are there
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Let r = work rate for 1 person in jobs/day.
Let p = number of people to do 1 job in 36 days.

p%2Ar%2A36=1, expected.

p-8 people DID come to work, and the job took 54 days.
highlight_green%28%28p-8%29%2Ar%2A54=p%2Ar%2A36%29
Solve for p, and then compute p-8.

%28p-8%29%2A54=p%2A36
54p-8%2A54=36p
54p-36p=8%2A54
18p=8%2A54
p=8%2A54%2F18=8%2A27%2F9=8%2A3
highlight%28p=24%29
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Actual people who DID the work was highlight%2816%29