SOLUTION: Ling had a artisans who worked h hours to get c crafts made.then m artisans went on vacation. How many hours would it take the remaining artisans to make d crafts?

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Question 1147381: Ling had a artisans who worked h hours to get c crafts made.then m artisans went on vacation. How many hours would it take the remaining artisans to make d crafts?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
(1)
a artisans
h hours time
c quantity of crafts
r rate of 1 artisan
arh=c

(2)
m artisans went away
x how much time hours
d quantity of crafts
%28a-m%29rx=d

%28%28a-m%29rx%29%2F%28arh%29=d%2Fc
%28%28a-m%29%2F%28ah%29%29x=d%2Fc
highlight%28x=%28dah%29%2F%28c%28a-m%29%29%29

Answer by ikleyn(52752) About Me  (Show Source):
You can put this solution on YOUR website!
.
In the first scenario, the rate of work of any one particular artisan is  c%2F%28a%2Ah%29  crafts per artisan per hour.


In the second scenario, the rate of work of any one particular artisan is  d%2F%28%28a-m%29%2Ax%29  crafts per artisan per hour.


Here "x" is the unknown number under the question.


The rate of work is assumed to be the same in both scenarios. It gives you an equation


    c%2F%28a%2Ah%29 = d%2F%28%28a-m%29%2Ax%29.


From this equation/proportion


    x = %28a%2Ah%2Ad%29%2F%28c%2A%28a-m%29%29.    ANSWER

Solved.

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