SOLUTION: It takes 2 assemblers working 7 hours to assemble one computer. To make 100 in 70 hours of work, how many workers will it take?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes 2 assemblers working 7 hours to assemble one computer. To make 100 in 70 hours of work, how many workers will it take?      Log On


   

Question 1132983: It takes 2 assemblers working 7 hours to assemble one computer. To make 100 in 70 hours of work, how many workers will it take?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Unknown n number of workers in the question.

Rate of work for 1 worker, r.


system%282r%2A7=1%2Cn%2Ar%2A70=100%29
-
r=1%2F14
-
n%281%2F14%29%2A70=100
n=100%281%2F70%29%2A14
n=100%2A14%2F70
n=10%2A14%2F7
highlight%28n=20%29

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


There are numerous ways to solve problems like this; another tutor has shown you one method.

For me, the simplest way to solve this problem (and multitudes of other problems like this) is to consider how the number of workers changes with the changes in each of the other numbers.

Given: 1 computer, 7 hours --> 2 assemblers

(1) 100 computers instead of 1 --> 100 times as many computers, so multiply the number of assemblers by 100 --> 2*100 = 200 assemblers

(2) work 70 hours instead of 7 hours --> 10 times as much work time, so divide the number of assemblers by 10 --> 200/10 = 20 assemblers