Question 1207697
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If 3 people can paint 2 rooms in 4 days, how many people are needed to paint 12 rooms in 6 days?
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<pre>
We want to solve the problem by writing a proportion.



    What quantity is the same to equate two sides of proportion ?

        - The rate of work is the same per day and per worker.



When 3 workers paint 2 rooms in 4 days, the rate of work is  {{{2/(3*4)}}} = {{{2/12}}} = {{{1/6}}}.


When x workers paint 12 rooms in 6 days, the rate of work is  {{{12/(x*6)}}} = {{{2/x}}}.


These two rates of work we want to equate (since they are equal)

    {{{1/6}}} = {{{2/x}}}.


From this proportion,  x = 2*6 = 12 workers.


<U>ANSWER</U>.  12 workers are needed.
</pre>

Solved.


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To see many other similar &nbsp;(and different) &nbsp;problems, &nbsp;solved by the same method, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-problem.lesson>Rate of work problems</A> 

in this site.


It was written specially for you, &nbsp;to make your horizon &nbsp;WIDER.