SOLUTION: if 3 writers can complete 160 books in 14 days.Then how many books can be completed by 8 writers in 5 days??

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Question 783271: if 3 writers can complete 160 books in 14 days.Then how many books can be completed by 8 writers in 5 days??
Answer by Edwin McCravy(20054) About Me  (Show Source):
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if 3 writers can complete 160 books in 14 days.Then how many books can be completed by 8 writers in 5 days??
Use the worker-time-job formula, which is:

%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D%22%22=%22%22%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D

where

W1 = the number of workers (writers) in the first situation.
T1 = the number of time units (days in this case) in the first situation.
J1 = the number of jobs (books written) in the first situation.

W2 = the number of workers (writers) in the second situation.
T2 = the number of time units (days in this case) in the second situation.
J2 = the number of jobs (books written) in the second situation.

W1 =   3             W2 = 8     
T1 =  14             T2 = 5 
J1 = 160             J2 = the unknown quantity

%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D%22%22=%22%22%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D

%283%2A14%29%2F160%22%22=%22%22%288%2A5%29%2FJ%5B2%5D

42%2F160%22%22=%22%2240%2FJ%5B2%5D

42%2F160 reduces to 21%2F80 

21%2F80%22%22=%22%2240%2FJ%5B2%5D

Cross-multiply

21J2 = 3200

Divide both sides by 21

 J2 = 152.3809524

Answer: 152 and a fraction of a book

Edwin