SOLUTION: 3 men and 5 women do a piece of work in 9 days and 2 men and 7 children do the same in 6 days. how many women can do as much work as 21 children ?
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Question 1129109: 3 men and 5 women do a piece of work in 9 days and 2 men and 7 children do the same in 6 days. how many women can do as much work as 21 children ? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! let m = time required by 1 man to complete the job
let w = time required by 1 woman
let c = time required by 1 child
let the completed job = 1
:
3 men and 5 women do a piece of work in 9 days + = 1
and 2 men and 7 children do the same in 6 days. + = 1
reduce the fractions + = 1 + = 1
we have 3/m in both equations, therefore =
cross multiply
9(7c) = 6(5w)
63c = 30w
divide both sides by 3
21c = 10w
:
how many women can do as much work as 21 children ?
From the above equation we can see 10 women can do the work of 21 children
