SOLUTION: 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boys do the work?

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Question 877387: 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boys do the work?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = rate of work for 1 man and b = rate of work for 1 boy. Call one piece of work, 1 job.

The rate of any two agents working simultaneously are simply combined as addition. The "while" is the comparison operation for equality.

The description is numerically transcribed as:
%282m%2B3b%29%2A10=1=%283m%2B2b%29%2A8, which is really TWO equations.