SOLUTION: Please help me solve this question A certain number of women can do a job in 50 days.If 12 more are added, the whole job can be done in 8 days less. How many women are there in

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Please help me solve this question A certain number of women can do a job in 50 days.If 12 more are added, the whole job can be done in 8 days less. How many women are there in      Log On


   

Question 1120670: Please help me solve this question
A certain number of women can do a job in 50 days.If 12 more are added, the whole job can be done in 8 days less. How many women are there initially?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The job can be completed by x women working 50 days, or by (x+12) women working 50-8=42 days. So

50(x) = 42(x+12)
50x = 42x+504
8x = 504
x = 63

Answer: Initially there are 63 women.

Check:
63*50 = 3150
75*42 = 3150