SOLUTION: a company has some labours to complete work in 200 days if there are 8 more labours there will be 50 days less so how much labours are?

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Question 968075: a company has some labours to complete work in 200 days if there are 8 more labours there will be 50 days less so how much labours are?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, the work rate of 1 laborer
n, the "some" number of laborers
1, amount of job to be done

RT=1 based on doing 1 job, uniform rates.

nr%2A200=1=%28n%2B8%29r%2A%28200-50%29

The factor r is used on both sides of the equation; the 1 is just the quantity which equates the far left and far right members. ONE JOB, shown simply as 1.

n%2A200=%28n%2B8%29%2A150
200n=150n%2B1200
50n=1200
5n=120
highlight%28n=24%29 the some-amount of laborers.