SOLUTION: Stacey observed that it took w women 10 days to do j jobs. Then, she calculated how long it would take n more women to do 28 more jobs. What was her answer?

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Question 1089976: Stacey observed that it took w women 10 days to do j jobs. Then, she calculated how long it would take n more women to do 28 more jobs. What was her answer?
Found 3 solutions by josmiceli, ankor@dixie-net.com, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
women - - days - - jobs
------------------------
w - - - - - - 10 - - - - - - - - - j
1 - - - - - - - 10w - - - - - - - - j
n + w - - - - - (10w)/( n+w ) - - j
n + w - - ( 10w ) / ( j*( n+w )) - - 1
n + w - - ( (10w)*( j+28 ) ) / ( j*( n+w )) - - j + 28
----------------------------------------------
( (10w)*( j+28 ) ) / ( j*( n+w )) days
get another opinion on this
I'm not 100% sure


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Stacey observed that it took w women 10 days to do j jobs.
Find how many man-days for 1 job
%2810w%29%2Fj
Then, she calculated how long it would take n more women to do 28 more jobs. What was her answer?
%28%28j%2B28%29%29%2F%28%28w%2Bn%29%29 * %2810w%29%2Fj = %2810w%28j%2B28%29%29%2F%28j%28w%2Bn%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Stacey observed that it took w women 10 days to do j jobs. Then, she calculated how long it would take n more women to do 28 more jobs. What was her answer?
w+=+k%28j%29%2FT
w+=+k%28j%29%2F10
kj = 10w ------- Cross-multiplying
matrix%281%2C3%2C+k%2C+%22=%22%2C+10w%2Fj%29
matrix%281%2C3%2C+w%2C+%22=%22%2C+k%28j%29%2FT%29
matrix%281%2C3%2C+w+%2B+n%2C+%22=%22%2C+%28%2810w%2Fj%29+%2A+%28j+%2B+28%29%29%2FT%29%29 ------ Adding n MORE women, and 28 MORE jobs
matrix%281%2C3%2C+T%28w+%2B+n%29%2C+%22=%22%2C+10w%28j+%2B+28%29%2Fj%29 ---------- Cross-multiplying
matrix%281%2C3%2C+T%2C+%22=%22%2C+%28%2810jw+%2B+280w%29%2Fj%29%2F%28w++%2B+n%29%29
T, or time =