SOLUTION: The amount A paid to a work crew varies jointly as the number of persons working N and the length of time worked t. If 5 bricklayers take 6 days to finish a certain job, how long w

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The amount A paid to a work crew varies jointly as the number of persons working N and the length of time worked t. If 5 bricklayers take 6 days to finish a certain job, how long w      Log On


   



Question 959586: The amount A paid to a work crew varies jointly as the number of persons working N and the length of time worked t. If 5 bricklayers take 6 days to finish a certain job, how long would it take 7 bricklayers to finish a similar job requiring 4 times the number of bricks?
Round your answer to the nearest integer.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can say:
5 bricklayers take 6 days to do 1 job
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If another job requires 4 times the number of bricks
you can say that is 4 jobs, so
7 bricklayers take +d+ days to finish 4 jobs
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7 times as many bricklayers can do 1 job in 1/7 the time, so
35 bricklayers take 6/7 days to do 1 job
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1/5 as many bricklayers will take 5 times as long, so
7 bricklayers take 30/7 days to do 1 job
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4 jobs will take 4 times as long, so
7 bricklayers take 120/7 days to do 4 jobs
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+120%2F7+=+17+%2B+1%2F7+, so
7 bricklayers take 17 and 1/7 days to do 4 jobs
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Hope I got it